Solve the inequality and express your answer in interval notation. x^2+6x+7<0

Answers

Answer 1
Hello!

The answer is:

The interval notation will be:  (-∞,-1.59) and (-4.41,∞+)

Why?

To solve the expression, we need to perform the following steps:

- Find the roots or zeroes of the expression:

Using the quadratic equation, we have:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

We are given the quadratic expression:

[tex]x^{2} +6x+7[/tex]

Where,

[tex]a=1\\b=6\\c=7[/tex]

Then, substituting and calculating we have:

[tex]\frac{-6+-\sqrt{6^{2}-4*1*7 } }{2*1}=\frac{-6+-\sqrt{36-28 } }{2}\\\\\frac{-6+-\sqrt{36-28}}{2}=\frac{-6+-\sqrt{8}}{2}\\\\x_{1}=\frac{-6+\sqrt{8}}{2}=\frac{-6+2.82}{2}=-1.59\\\\x_{2}=\frac{-6-\sqrt{8}}{2}=\frac{-6-2.82}{2}=-4.41[/tex]

- Inequality interpretation:

Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59

The interval notation will be:and  (-∞,-1.59) and (-4.41,∞+)

Have a nice day!

Note: I have attached a picture for better understanding.

Solve The Inequality And Express Your Answer In Interval Notation. X^2+6x+7&lt;0
Answer 2

Answer:

The other guy is absolutely right, however

we can change his 4.41 to 3 + or - sqrt2

Step-by-step explanation:

So C


Related Questions

The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.

Based on this data, what is the reasonable estimate of the probability that the next bed sold is a twin bed?
CHOOSE 1 ANSWER:

A.) 0.20

B.) 0.25

C.) 0.27

D.) 0.40​

Answers

Answer:

A.) 0.20

Step-by-step explanation:

There were 3+6+4+2 beds sold, or 15 beds sold

There were 3 twin beds sold

P(twin) = number of twin/ total

           = 3/15 = 1/5 = .2

                 

Answer:

Option A. 0.20

Step-by-step explanation:

Observations from the given frequency table are :

Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2

                                                                                     = 15

Number of twin beds sold = 3

Then, probability that the next bed sold will be a twin bed,

[tex]P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}[/tex]

  [tex]=\frac{3}{15}[/tex]

  = 0.20

Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.

Option A. is the correct answer.

Find the area of the trapezoid .

Answers

Answer:

303.66 in²

Step-by-step explanation:

The area (A) of a trapezoid is

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

here h = 12.6, a = 19 and b = 29.2, so

A = 0.5 × 12.6 × (19 + 29.2)

  = 0.5 × 12.6 × 48.2 = 303.66 in²

Answer: THIRD OPTION.

Step-by-step explanation:

The area of a trapezoid can be calculated with this formula:

[tex]A=\frac{h}{2}(B+b)[/tex]

Where "h" is the height, "B" is the long base and "b" is the short base.

You can identify that:

[tex]h=12.6in\\B=29.2in\\b=19in[/tex]

Therefore, you need to substitute these values into the formula  [tex]A=\frac{h}{2}(B+b)[/tex] to calculate the area of that trapezoid. This is:

 [tex]A=\frac{12.6in}{2}(29.2in+19in)\\\\A=303.66in^2[/tex]

This matches with the third option.

please help will mark the brainliest

Ruby had a budget of up to $75 dollar to spend. Ruby made a graph of the costs of the items she bought.

Answers

Answer:

She has $10 left.

Step-by-step explanation:

There are 13 tags. Every tag is 5$.

13 tags times 5 dollars equals 65 dollars spent.

75 dollars minus 65 dollars spent = 10 dollars left.

Ruby has 10 dollars left.

Ruby is left with 10 dollars. .

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

Ruby had a budget of up to $75 dollar to spend.

Total tags=13

Each tag is $5.

So,

Ruby spent on 13 tags

= 13*5

= $65

Thus, Ruby left with

=75 - 65 dollars

= 10 dollars.

Hence, Ruby has 10 dollars left.

Learn more about graph here:

https://brainly.com/question/16608196

#SPJ2

Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3

Step-by-step explanation:

when solving by completing the square you are supposed to do (b/2)^2 and then add that to both sides.

In your example (-8/2)^2=16

You are supposed to add sixteen to both sides not 64

Susu forgot to divide 8 by 2 before she raised it to the to the second powerm that is why she got 64, which is incorrect.

Answer:

Step 2

Step-by-step explanation:

Susu is solving the quadratic equation [tex]4x^2 - 8x - 13 = 0[/tex] by completing the square

To apply completing the square method we need to get x^2 alone

Susu added 13 on both sides . So step 1 is correct

When we factor out 4, we divide both terms by 4

[tex]4(\frac{4x^2}{4} -\frac{8x}{2} )=13[/tex]

[tex]4(x^2-2x)=13[/tex]

Susu forgot to divide 8 by 4

So , error in step 2

Determine whether the function shown in the graph is even or odd.

Answers

Answer:

D. The function is odd because it is symmetric with respect to the origin.

Step-by-step explanation:

We have been given a graph of a function. We are asked to determine whether our given function is odd or even.

We know that a function is even, when it is symmetric with respect to the y-axis.

We also know that a function is odd, when it is symmetric with respect to the origin.

Upon looking at our given graph, we can see that it is symmetric about the origin, therefore, option D is the correct choice.

The function is odd because it is symmetric with respect to the origin.

(Option D)

Further explanation

We will determine whether the function is shown in the graph is even or odd.

Let us recall how to distinguish whether the function graph is included in an even or odd function.

Even Functions

A function f is even if, for each x in its domain, [tex]\boxed{ \ f(-x) = f(x) \ }[/tex].The graph of an even function is symmetric with respect to the y-axis. In order to complete the graph for an even function just imagine the y-axis as a mirror and draw the reflection of each point on the other side.Examples: [tex]\boxed{ \ f(x) = x^2 \ } \boxed{ \  f(x) = 2x^4 - 4 \ } \boxed{ \ f(x) = sin \ x \ for \ -360^0 \leq x \leq 360^0 \ }[/tex]

Odd Functions

A function f is odd if, for each x in its domain, [tex]\boxed{ \ f(-x) = -f(x) \ }[/tex].The graph of an odd function is symmetric with respect to the origin.In order to complete the graph for an odd function connect each point with the origin and extend that line to the other side of the origin until we have the same distance.Examples: [tex]\boxed{ \ f(x) = x^3 \ } \boxed{ \  f(x) = 2x^3 - 4x \ } \boxed{ \ f(x) = \frac{x^2 + 1}{2x} \ } \boxed{ \ f(x) = tan \ x \ }[/tex]

Generally, the functions that we face are neither even nor odd.

Learn moreWhich table represents a linear function https://brainly.com/question/10570936 The piecewise-defined functions https://brainly.com/question/9590016The functions that inverse of each other https://brainly.com/question/4620451

Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?a. 4x^2 + 26x + 45 = 0b. 4x^2 + 26x − 3 = 0c. x^2 + 13x − 3 = 0d. x^2 + 13x + 45 = 0

Answers

Answer:

[tex]4x^2+26x-3 = 0[/tex]

Step-by-step explanation:

Given that the total area of Frame and Painting is 45 Sq Fts.

Dimensions of painting are 6 feet and 7 feet. Hence.

Let us assume the uniform thickness of frame is x

Hence the Length of frame with painting = 7+2x

and breadth = 6+2x

Area of the frame = length * breadth

[tex]45=(7+2x)(6+2x)\\45=42+14x+12x+4x^2\\45=42+26x+4x^2\\4x^2+26x+42-45\\4x^2+26x-3=0\\[/tex]

Hence option b is correct.

Answer: B) -  4x^2 + 26x − 3 = 0

Step-by-step explanation:

I got it right :)

Why is MAE ≅ TON

HL
HA
LL

Answers

The answer is HL since the hypotenuse and legs of both triangles are the same length

Answer:

HL

Step-by-step explanation:

HL (Hypotension-Leg) postulate of congruence : In two right triangles if the hypotenuses are equal and any two corresponding legs are equal in both triangles then the triangles are congruent.

In the given right triangles MAE and TON,

AM = OT,

EM = NT,

Thus, by the HL postulate,

Δ MAE ≅ Δ TON

First option is correct.


18. The supplement of an angle of 72° is an angle measuring

A. 144°.
B. 18°.
C. 108°.
D. 288°.

Answers

To find a supplement angle, take 180 degrees (angle of a straight line) and subtract your given angle. 180 - 72 = 108

Your answer is C

Answer: OPTION C.

Step-by-step explanation:

First, it is important to remember the definition of "Suplementary angles".

By definition, two angles are supplementary if they add up 180 degrees.

Therefore, the measure of the supplement angle of 72 degrees can be found by setting up the following expression:

[tex]x+72\°=180\°[/tex]

Being "x"  the measure of the supplement angle of 72 degrees.

Finally, you need to solve for "x":

[tex]x=180\°-72\°\\\\x=108\°[/tex]

This matches with the option C.

what is the measure of xyz

Answers

Answer:

The correct answer is option B.  65

Step-by-step explanation:

To find the measure of <VYX

Central angle of arc VW = 44°

Therefore m<VXY = 44/2 = 22°

And central angle of arc XZ = 86° therefore <XVY = 86/2 = 43

To find the mesure of <XYZ

m<XYZ = m<VXY + m<XVY

  = 22 + 43

 = 65°

Therefore the correct answer is option B. 65°

need help with this question.

Answers

Answer:

distributive propertycommutative propertyassociative property

Step-by-step explanation:

The distributive property lets you multiply each term inside parentheses by a factor outside parentheses. Here, we've gone from 4(x -1) to 4x -4.

The commutative property lets you change the order of elements of a sum or product. Here, we've gone from 3 + ( ) to ( ) + 3.

The associative property lets you move the parentheses from one group of elements of a sum or product to a different group of elements of the same sum or product. Here, we moved the parentheses from the first two terms to the last two terms of the sum.

_____

Comment on these properties in relation to the Order of Operations

The order of operations for evaluating an expression virtually ignores all of these properties, with the possible exception of the distributive property.

For evaluation of numerical expressions, any sum inside parentheses is evaluated to a single number before the multiplication implied by the parentheses is done. Hence the distributive property is not needed. (The distributive property must be used to remove parentheses when literal or mixed expressions are being evaluated.)

Likewise, the associative and commutative properties are ignored, because operations of addition or multiplication are always carried out left-to-right according to the order of operations. In actual practice, the associative and commutative properties can be used to simplify the evaluation of expressions, provided they are used properly and the meaning of the expression is not altered.

a country has a population of about 124 million people and an area of about 1.95km^2.

what is the population density of the country?
round to the nearest whole number


64 people/km^2

82 people/km^2

122 people/km^2

242 people/km^2

Answers

Answer:

64 people/m^2

Step-by-step explanation:

The population density can be found by diving the number of people by the amount of area

I assume that the answer should be in metre squares or the area should be 1.95 million km^2

124000000/(1.95*1000000)

=63.5897...

=64 people/m^2

Answer:

64M people/km^2

Step-by-step explanation:

To calculate the density of population you just have to divide the population by the area of the country or region that you are calculation, in this case it wouldbe like this:

Density of population= [tex]\frac{124 M}{1.95 km^{2}  }[/tex]

D= [tex]\frac{124 M}{1.95 km^{2}  }[/tex]= 63,58 M[tex]\frac{M}{km^{2} }[/tex]

So rounded to the neares whoel number would be 64 M people per squared kilometer.

A 1-liter bottle of orange juice used to cost $2.85 at food market. Its price has increased; the new price is 110 percent of the original price. What is the new price of the juice? Round your answer to the nearest cent.

Answers

Answer:

$3.14

Step-by-step explanation:

Original cost = $2.85

new cost is 110% of original cost

or

new cost is [tex]\frac{110}{100}[/tex] x original cost

= [tex]\frac{110}{100}[/tex] x $2.85

= $3.135

= $3.14 (rounded to nearest cent)

Answer:

D/ 3.14

Step-by-step explanation:

Which products result in a difference of squares? Check all that apply.

(x – y)(y – x)
(6 – y)(6 – y)
(3 + xz)(–3 + xz)
(y2 – xy)(y2 + xy)
(25x – 7y)(–7y + 25x)
(64y2 + x2)(–x2 + 64y2)

Answers

Answer:

(x-y)(y-x)

Step-by-step explanation:

because x-y=y-x

A triangle has two sides of length 4 and 7 what could the length of the third side be

Answers

We can solve this problem using a Pythagorean theorem.

[tex]c^2=a^2+b^2[/tex]

Where a is 7 and b is 4 and c is the hypothenuse we are looking for.

[tex]

c^2=7^2+4^2\Longrightarrow c=\sqrt{49+16}=\boxed{8.06}

[/tex]

The length of the third side is approximately 8.

Hope this helps.

r3t40

A bag contains 5 blue marbles, 2 black marbles and 3 red marbles. A marble is randomly draw from the bag, what's the probability of drawing a red marble

Answers

Answer:

3/10 or 0.3

Step-by-step explanation:

You have 3 red marbles and 10 marbles in total, so you put how many red marble in the numerator and your total marbles in the denominator.

what is the equation of the line that is perpendicular to -x+y=7 and passes through (-1,-1)​

Answers

Answer:

  x + y = -2

Step-by-step explanation:

When you are given the equation of a line in standard form (or close to it, as here), you can make the equation for a perpendicular line through a given point by ...

swap the coefficients of the variables and negate one of themsubstitute the variable values at the given point to find the new constant

Here, if we make the left side of the equation be ...

  x + y =

we have done the first part of the above recipe. For the second part, we put the point values in for the variables:

  x + y = (-1) + (-1) = -2

The equation of the perpendicular line is ...

  x + y = -2

A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?

Answers

Answer:

186655 geese

Step-by-step explanation:

In this question , the next generation is calculated by multiplying the current generation by 2.2. Let's do a simple math;

1st generation = 3

2nd generation= 3×2.2=6.6

3rd generation=6.6×2.2=14.52

4th generation=14.52×2.2=31.94

5th generation=31.94×2.2=70.28

6th generation= 70.28×2.2=154.61

7th generation=154.62×2.2=340.14

8th generation=340.14×2.2=748.31

9th generation=748.31×2.2=1646.28

10th generation=1646.28×2.2=3621.81

11th generation=3621.81×2.2=7967.98

12th generation=7967.98×2.2=17529.55

13th generation=17529.55×2.2=38565.0

14th generation=38565.0×2.2=84843.02

15th generation=84843.02×2.2=186654.64

=186655 geese

OR

If current generation is calculated as the previous generation multiplied by a factor then you should see that this is an exponential function.In this case

Original number of geese=3

Factor of multiplication is =2.2

Exponential function for first generation is =0

How? see here

[tex]1st=3*2.2^0=3*1=3\\\\2nd=3*2.2^1=3*2.2=6.6\\\\3rd=3*2.2^2=3*4.84=14.52[/tex]

So from the above you can derive an expression for 15th generation

You notice for 1st generation , the exponent is 0

For the 2nd generation the exponent is is 1

For the 3rd generation the exponent is 2

Thus for the nth generation the exponent will be n-1

Your expression for nth generation can now be;

[tex]nth=3*2.2^{n-1}[/tex]

For 15th generation

[tex]15th=3*2.2^{15-1} =3*2.2^{14} =186654.63\\\\\\=186655[/tex]

If -2x²+5-8 is multiplied by 4x-9, what is the coefficient of x in the resulting polynomial?

A) -77
B) -45
C) -32
D) -13

Answers

Answer:

-77 assuming you meant to write -2x^2+5x-8 instead of -2x^2+5-8

Step-by-step explanation:

You could multiply it out and see...

(-2x^2+5x-8)(4x-9)

(-2x^2)(4x-9)+(5x)(4x-9)+(-8)(4x-9)

-8x^3+18x^2+20x^2-45x-32x+72

-8x^3+38x^2-77x+72

Coefficient of x^3 is -8

Coefficient of x^2 is 38

Coefficient of x is -77

Constant term is 72

Which is one of the transformations applied to the graph of [tex]f(x)=x^2[/tex] to produce the graph of [tex]p(x)=-50+14x-x^2[/tex]?


A. a shift down 1 unit

B. a shift left 7 units

C. a shift right 1 unit

D. a shift up 7 units


Could you explain your answer?


If it's wrong it should be report called "improper answer."

No need to spamming answers! If you spamming and that's going to mark your answer report.


Thank you!


-Charlie

Answers

Answer:

A

Step-by-step explanation:

Write each parabola in standard form.

f(x) = x²

f(x) = (x − 0)² + 0

For p(x), complete the square.

p(x) = -50 + 14x − x²

p(x) = -(x² − 14x + 50)

p(x) = -(x² − 14x + 49 + 1)

p(x) = -(x² − 14x + 49) − 1

p(x) = -(x − 7)² − 1

The transformation from f(x) to p(x) includes a reflection about the x-axis, a shift right 7 units, and a shift down 1 unit.

The answer is A.

Skylar and Wyatt both play soccer. Wyatt scored 2 times as many goals as Skylar. Together they scored 15 goals. Could Skyler have scored 3 goals? Why or why not?

Answers

Answer:

No, he did not score 3,

Because, 2 times of 5 is 10 and the sum of 10 and 5 is 15.

Step-by-step explanation:

Let x be the score of Skylar,

Since, Wyatt scored 2 times as many goals as Skylar.

So, Wyatt's score = 2x

Thus, total scores = x + 2x = 3x

According to the question,

3x = 15

x = 5

Hence, Skyler have scored 5 goals.

Because, 2 times of 5 is 10 and the sum of 10 and 5 is 15.

Final answer:

Skylar could have scored 3 goals because, based on the information provided, they scored 5 goals after solving the equation that evaluates the total goals scored by both Skylar and Wyatt.

Explanation:

To determine if Skylar could have scored 3 goals, given that Wyatt scored 2 times as many goals as Skylar and together they scored 15 goals, we can set up a simple algebraic equation. Let's denote the number of goals Skylar scored as S, which means that Wyatt scored 2S goals.

The total number of goals is the sum of the goals scored by both Skylar and Wyatt, which is S + 2S = 15. This simplifies to 3S = 15. By dividing both sides of the equation by 3, we get S = 5.

Therefore, Skylar could have scored 3 goals because the calculations show that Skylar scored 5 goals.

I really need some help please!
cos(a - B) + cos(a + B) = _____
A. 0
B. 2cosacosB
C. 2sinasinB
D. 2(cosacosB + sinasinB)

Answers

The answer is B.

I tried putting 9 for a and 7 for B. cos(9-7)+cos(9+7) = 2cos(9)cos(7)

[tex]\bf \textit{Product to Sum Identities} \\\\ cos(\alpha)cos(\beta)=\cfrac{1}{2}\left[\cfrac{}{}cos(\alpha-\beta)\quad +\quad cos(\alpha+\beta)\right] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(a)cos(B)=\cfrac{1}{2}\left[\cfrac{}{}cos(a-B)+cos(a-B) \right] \\\\\\ 2cos(a)cos(B)=cos(a-B)+cos(a-B)[/tex]

Simply put, an equation shows A. a method for finding the value x. B. that one thing is equal to another. C. the value of an unknown quantity. D. a rule for finding an unknown quantity.

Answers

Answer:

  B.  that one thing is equal to another.

Step-by-step explanation:

An equation has a "left side", an "equal sign", and a "right side." It shows the left side is equal to the right side (one thing is equal to another).

___

An equation may or may not involve variables and unknown quantities.

Drag the tiles to the correct boxes to complete the pairs.

The owner of a real estate agency is looking over the monthly commission earned by the top three brokers in the past month. She has calculated the mean and standard deviation, SD, of the their commissions, in dollars, as shown below.


Amanda Benjamin Cathy

Mean = 75,463.12

SD = 3,839.02 Mean = 74,124.87

SD = 4,062.50 Mean = 76,095.71

SD = 4,227.54


Match each broker with the correct description.


Amanda

Benjamin

Cathy

Which broker had the highest average monthly

commission during the past year?

arrowBoth

For which broker does 95% of the data lie

between $67,785.08 and $83,141.16

(2 SD from the mean)?

arrowBoth

For which broker does 68% of the data lie

between $70,062.37 and $78,187.37

(1 SD from the mean)?

arrowBoth

Answers

Answer:

highest mean: Cathy2SD limits given: Amanda1 SD limits given: Benjamin

Step-by-step explanation:

This problem is essentially one of finding the matching mean. The given means are ...

A: 75,463.12B: 74,124.87C: 76,095.71

1. It should be no trouble to determine that the largest mean belongs to Cathy.

__

2. The mean is the average of the given 2SD limits, so is ...

  (67,785.08 +83,141.16)/2 = 75,463.12 . . . . matches Amanda

Please note that you only need to work with about 3 significant figures:

  (67.8 +83.1)/2 = 75.45 . . . . close enough to let you select Amanda

__

3. The mean is the average of the given 1SD limits, so is ...

  (70.1 +78.2)/2 = 74.15 . . . . matches Benjamin

Answer:

68% of their data lie  between $70,062.37 and $78,187.37

(1 SD from the mean) Benjamin

had the highest average monthly  commission during the past year Cathy

95% of their data lie between $67,785.08 and $83,141.16

(2 SD from the mean) Amanda

Step-by-step explanation:

3|2x-5|>21
BRAINLIEST solve for x

Answers

Answer:

  (x < -1) ∪ (6 < x)

Step-by-step explanation:

Divide by 3

  |2x -5| > 7

"Unfold." That is, put the negative of the constant value on the other side of the absolute value expression, using the same inequality symbol.

  -7 > 2x -5 > 7 . . . . . . . . . . this notation is convenient for expressing the two disjoint inequalities, but is not strictly correct because it is not true that -7 > 7.

Add 5, then divide by 2

  -2 > 2x > 12

  -1 > x > 6 . . . . . . . . . . this should be interpreted as -1 > x OR x > 6. Usually a compound inequality is interpreted as having an AND connector.

The solution is ...

  (x < -1) ∪ (6 < x)

_____

The more correct (and less convenient) way to "unfold" the absolute value is to write it as two distinct inequalities:

-7 > 2x -52x -5 > 7

Each of these is then separately solved (by adding 5 and dividing by 2) to get ...

-1 > xx > 6

What is the range of the following function:
y = 2(5^x) - 1

Answers

Hello!

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

Why?

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

[tex]y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)[/tex]

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

At a snack bar, 3 hamburgers and a small drink cost $8.75. The cost of 2 hamburgers and 2 small drinks is $7.50. What is the cost of 4 hamburgers and 3 small drinks?

Answers

Answer:

13.75

Step-by-step explanation:

3b + d = 8.75

2b + 2d = 7.50

(3b + d = 8.75) times 2

(2b + 2d = 7.50) times -3

6b + 2d = 17.5

-6b + (-6d) = -22.5

the b's cancel out, 2d - 6d = -4d and 17.5 - 22.5 = -5

-4d = -5 Divide it and d = 1.25

then plug in 1.25 for d.

2b + 2(1.25) = 7.50

2b + 2.5 = 7.50

2b = 5

b= 2.5

3(2.5) + 1.25 = 8.75 ? Yes.

2(2.5) + 2(1.25) = 7.50 ? Yes.

4(2.5) + 3(1.25) = 13.75.

Need help asap

Solve using the properties of logarithms:
5^㏒(base x) 7 = 7

(See picture for a written version of the equation.)

Answers

Answer:

  x = 5

Step-by-step explanation:

Taking logarithms to the base 5, we get ...

   [tex]\log_x{7}=\log_5{7}[/tex]

Comparing forms gives x = 5.

Answer:

x=5

Step-by-step explanation:

Find the slope of a line given the following points

Answers

Answer:

-6/5

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

Plug in

Slope = (4 + 2)/(-2 - 3)

Slope = -6/5

Answer:

m = -6 / 5

Step-by-step explanation:

If you are given 2 points (x1, y1) and (x2,y2)

the slope is simply

m = (y2-y1) / (x2-x1)

m = (-2 - 4) / [3 - (-2)]

m = -6 / 5

PLEASE HELP ME WITH THIS MATH QUESTION

Answers

Answer:

Step-by-step explanation:

1) add the total number of male student

=14

2) divide the number of juniors by the total

2/14 = 1/7 = 0.14285

3)Multiply by 100 to get percentage

0.14285*100=14.285

4)Round

this rounds down to 14%

I could really use help with this!!!!

Answers

Answer:

Hi

Step-by-step explanation:

Please make sure you have posted all the information. i will be glad to help however it doesnt seem that all the instructions aare there

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