Classify the system of equations
- 1/2x = -6 - y
3+y= 1/2x + 4
(2 points, 1 for work shown, 1 for correct classification with reasoning)

Answer:

I think using factoring method would be the best because

Step-by-step explanation:

1) x^2-6=0

2) Factor out the X.  x*(x-6)=0

3) x* (x - 6) =0 When the product of factors equal zero at least one factor is zero.

x=0

x-6=0

4)Solve for "x-6=0" for X. Move constant to the right by adding its opposite to both sides  

x-6 +6 = 0 +6

Eliminate the opposites

x - 6 + 6 = 0 + 6

x= 0+6

x=6

5) the solutions are x1=0 and x2=6

Answer:

A and C

Step-by-step explanation:

The graph has a minimum U at vertex (1, 5) → A is true

The x- intercepts, where the graph crosses the x- axis are not as given

The axis of symmetry has equation x = c where c is the value of the x- coordinate the axis passes through.

The axis of symmetry passes through the vertex with equation

x = 1 → C

The graph does not have a maximum vertex ∩

Answer:

A distribution that is skewed to the right is likely to have a mean higher than the median.

Answer:

d. distributive property

Option D is correct, distributive property of multiplication over subtraction​ is the property used by Evan in first step.

Two or more expressions with an Equal sign is called as Equation.

12x²- 7x = 6-2(x² - 1).

The first step written by Evan is 12x²- 7x = 6-2x² +2

We have to find the property which was used for the first step

In the equation splitted 2(x² - 1) using distributive property of multiplication over subtraction​.

The distributive property of multiplication over subtraction is applied when we multiply a value by the difference of two numbers.

Hence, option D is correct,  distributive property of multiplication over subtraction​ is the property used by Evan in first step.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

284,000

(You would round up one because the number right before the thousands place is the hundred, which in our case, is above 4. As such, we are going to round up to 284,000.)

Hope I could help! :)

When rounding 283,657 to the nearest thousand, we look at the hundreds digit which is 6. Since it is greater than 5, we round up, resulting in a final rounded number of 284,000.

To round 283,657 to the nearest thousand, we look at the hundreds place to decide whether to round up or down. Since the hundreds digit is a '6' (which is greater than 5), we round up to the next thousand. Therefore, 283,657 rounded to the nearest thousand is 284,000.

Rounding rules dictate that if the digit to the right of the target rounding place is 5 or greater, we round up the target digit by one. In this case, we're rounding to the nearest thousand, so we look at the hundreds place which is a 6. Since it is greater than 5, we add one to the thousands place, changing 283,000 to 284,000, and set all the following digits to zero, giving us our final rounded number.

https://brainly.com/question/34796630

#SPJ2

Answer:

Is not a function

Step-by-step explanation:

A relation is a function  if each value of the input set (domain) is assigned only one value of the output set (range)

Given a function [tex]f(x)[/tex], the inverse of f denoted  [tex]f ^ {- 1}(x)[/tex] is a function only if f(x) is a one-to-one function. This means that there are not in the domain of [tex]f(x)[/tex] two distinct values of x that produce the same value of y.

In the graph of f(x) you can see that the function is not one-to-one. Since [tex]f(x) = (-x)[/tex] for all x.

For example:

[tex]f(1) = f (-1)\\\\f (2) = f (-2)\\\\[/tex]

Observe the attached graph

In general, the inverse of a quadratic function f(x) is not a function

Answer:

48 objects

Step-by-step explanation:

we have

[tex]t=0.003x^{2}+0.001x[/tex]

where

t is the number of seconds

x is the number of objects

For t=7 sec

substitute in the equation and solve for x

[tex]7=0.003x^{2}+0.001x[/tex]

Solve the quadratic equation by graphing

The solution is x=48 objects

see the attached figure

Answer:

Sub into equation

Step-by-step explanation:

Answer: 2.775%

Step-by-step explanation:

Given: Mean : [tex]\mu=3,500\ g[/tex]

Standard deviation: [tex]\sigma=500\ g[/tex]

The formula to calculate z-score is given by :-

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

For x= 2,500g

[tex]z=\dfrac{2500-3500}{500}=\dfrac{-1000}{500}=-2[/tex]

The p-value of z = P(z<-2)=0.02275

In percent, [tex]0.02775\times100=2.775\%[/tex]

The percent of babies born in the United States are classified as having a low birth weight (< 2,500 g) = 2.775%

Answer:

90°

Step-by-step explanation:

Two lines intersect each other at a right angle, making them perpendicular. Thus, the resulting angles will all be 90°, making ∠4 = 90°.

Alternatively, we can use the supplementary angles equation.

Let's call the right angle marked in the picture ∠5.

∠4 + ∠5 = 180°, since the line is also a straight angle which measures 180°.

∠4 + 90° = 180°

∠4 = 90°

Either way, ∠4 = 90°

Hope this helps!

Answer:

Option D. [tex]\frac{A}{B}*\frac{C}{D}=\frac{A*C}{B*D}[/tex]

Step-by-step explanation:

we have

[tex]\frac{A}{B}[/tex] and [tex]\frac{C}{D}[/tex]

we know that

To multiply fractions multiply the numerators of the fractions to get the new numerator and multiply the denominators of the fractions to get the new denominator

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction

[tex]\frac{\frac{A}{B}}{\frac{C}{D}}=\frac{A}{B}*\frac{D}{C}[/tex]

and

[tex]\frac{A}{B}*\frac{C}{D}=\frac{A*C}{B*D}[/tex]

Answer:

LA = 322 meters squared

Step-by-step explanation:

LA = hp

= 26(2 + 5 + 5.39)

= 26(12.39)

= 322 meters squared rounded to the nearest whole number

The 4th choice

Answer:

It would be option D or option number 4.

Answer:

5) x=30

6) x=50

7) x=59

8) x=31

9) m<1=75 because they're corresponding and m<2=105 because it's supplementary with the 75 degrees angle

10) m<1= 120 because they're corresponding and m<2=60 because they're consecutive interior angles and add up to 180

in questions 5-7 you just set them equal to each other

in 8, you had to subtract 105 from 180 and then set 75 equal to 3x-18

Answer:

A) -43

Step-by-step explanation:

The absolute value is the distance from 0... which means you take the number and if there's a negative sign in front of it, you remove it.

-43 becomes 43 as an absolute value... so it's bigger than the others (23, 0, and 18).

Answer is then A) -43

the answer is c. 16.4 feet in 5 meters

Answer:

16.4 ft

Step-by-step explanation:

We are given that Yvette measured the length of her driveway to be 5 meters long.

We have to find that which is equivalent to  given length in given options.

Measurement of length = 5 m

We know that 1 meter =3.28 foot

1 meter=1.09 yard

1 meter =39.37 inches

5 m= [tex]5\times 3.28=16.4  ft[/tex]

5 m=[tex]5\times .109=5.45 yard[/tex]

5 m=[tex]5\times 39.37=196.85 inches[/tex]

Hence, measurement of length =5 m =16.4 ft

Hello There!

85% = 85/100

85/100 = 0.85

0.85/1 * 100/100

85/100

SIMPLIFIED IS 17/20

Percent are always out of 100 so...

[tex]\frac{85}{100}[/tex]

Simplifying:

[tex]\frac{85}{100}/\frac{5}{5}=\frac{17}{20}[/tex]

Hope this helped!

Final answer:

Dayton has 3 bags of frozen vegetables, with each bag weighing 5/8 pound. He can make 1 pot of soup with 7/8 of another pot using these vegetables.

Explanation:

Dayton has 3 bags of frozen vegetables, and each bag contains 5/8 pound of vegetables. To find the total weight of the vegetables, we multiply the weight of one bag by the number of bags: (5/8) * 3 = 15/8 pounds. Since each pot of soup requires 1 pound of vegetables, we divide the total weight of the vegetables by 1 pound to find the number of pots of soup Dayton can make: (15/8) / 1 = 15/8 pots of soup. However, we can simplify this fraction to a mixed number: 15/8 = 1 and 7/8. So Dayton can make 1 pot of soup with 7/8 of another pot.

ANSWER

See below

EXPLANATION

Given the system of linear equation:

[tex]y = m_1x + b_1[/tex]

[tex]y = m_2x + b_2[/tex]

If

[tex] m_1 \ne \: m_2[/tex]

then the two equations, will intersect at one. The system has unique solution.

If

[tex]m_1 =m_2 \: and \: b_1 \ne \: b_2[/tex]

then, the two equations are parallel and the system will not have a solution.

If

[tex]m_1 =m_2 \: and \: b_1 = \: b_2[/tex]

Then, the two equations will coincide.

There is infinitely many solutions.

Answer:

5/7 quart

Step-by-step explanation:

Amount = concentration × volume

Amounts added = final amount

100% × x + 20% × 5 = 30% × (x+5)

Solving for x:

1.00x + 0.2×5 = 0.3×(x+5)

x + 1 = 0.3x + 1.5

0.7x = 0.5

x = 5/7

x ≈ 0.7

You should add 5/7 quart of pure antifreeze, or about 0.7 quart.

About 0.71 quarts of pure antifreeze should be added to 5 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution.

To find out how many quarts of pure antifreeze must be added to 5 quarts of a 20% antifreeze solution to get a 30% antifreeze solution, we can set up the following equation:

0.2 * 5 + x = 0.3 * (5 + x) where x represents the amount of pure antifreeze to be added.

Solving this equation, we get:

1 + x = 1.5 + 0.3x,

This simplifies to 0.7x = 0.5,

So x = 0.5 / 0.7,

Therefore, About 0.71 quarts of pure antifreeze should be added to get a 30% solution.

https://brainly.com/question/36979168

#SPJ3

Answer:

x = 108

Step-by-step explanation:

∠RQS = ∠QLK = x ( corresponding angles )

∠QLK and ∠KLM form a straight angle and are supplementary, thus

∠QLK + ∠KLM = 180 ← substitute values

x + x - 36 = 180

2x - 36 = 180 ( add 36 to both sides )

2x = 216 ( divide both sides by 2 )

x = 108

Answer:

108

Step-by-step explanation:

Answer:

Divide the standard deviation of the sample measures by 8

Step-by-step explanation:

Given

measurements in data set=500

measurements in sample=64

Standard error of sample=?

As per the formula of standard error

Standard error= standard deviation/ square root of the number of measurements

                        = σ/√n

Here as we need to find standard error of the sample hence n=64

therefore √64= 8

The above equation will become:

standard error of the sample= σ/8 i.e. Divide the standard deviation of the sample measures by 8!

Answer:

x ≈ 6.5

Step-by-step explanation:

We have the epresion [tex]tan(18)=\frac{x}{20}[/tex] and we want to find the value of [tex]x[/tex].

Let's do it step-by-step

Step 1. Multiply both sides of the equation by 20

[tex]tan(18)=\frac{x}{20}[/tex]

[tex]20tan(18)=(\frac{x}{20} )(20)[/tex]

[tex]20tan(18)=x[/tex]

Step 2. use the reflexive property of equality: if [tex]a=b[/tex] then [tex]b=a[/tex]

[tex]20tan(18)=x[/tex]

[tex]x=20tan(18)[/tex]

Step 3. Using a calculator we get that [tex]tan(18)=0.325[/tex].  Replacing that value we get

[tex]x=20(0.325)[/tex]

x ≈ 6.5

We can conclude that the value of x is approximately 6.5

Hello There!

So we divide fractions by multiplying by the reciprocal.

So let’s change 6/7 divided by 3/8 to 6/7 multiplied by 8/3.

Once we do that, we can start our multiplication.

Once we multiply, we get 48/21

We can both divide these by 3 to simplify it so once we divide we will get

16/7

This can be turned in a mix number and it would be 2 and 2/7

Answer:

Option B  13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

[tex]d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }[/tex]

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

[tex]=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13[/tex]

So, Option B 13 units is correct.

Answer:

B) 13 units

Step-by-step explanation:

1) Use the equation for solving the distance between points:

√(x2 - x1)²+(y2-y1)²

2) In this case, we would plug them into the equation:

√(12-0)²+(9-4)²

3) Now, we simplify:

√(12)²+(5)²

4) We simplify even further:

√144+25

5) We add the two:

√169

6) Take the square root of √169:

13.

There are many ways that graphs can be misleading. Depending on how you set up your graph, the same set of data can look very different. It's important to understand that there are some common mistakes to avoid when making graphs. In addition, advertisers have been known to intentionally make their graphs misleading to make their data match their point.  

In the image provided, this is a good example of a misleading graph.

First, notice that we know that the first bar is 10 and the second bar is 50. However, there are no labels on the horizontal or vertical axis so we don't know what the bars represent.

In addition, notice that there is no title on this graph. Since there is no title on the graph, we don't know anything about the data.

Further, look at the scale on the vertical axis. Notice that it's an uneven scale. The uneven scale makes it appear that the first bar is closer to the second bar than it actually is.

We could correct this graph by adding labels to the x and y-axis, adding a title to the graph, and making the scale on the vertical axis even.

Another way graphs can be misleading is using the wrong type to represent data. For example, a scatter plot might be better than a regular graph in some cases.

Lastly, graphs can be misleading by adding a wide range of numbers to show and increase or decrease relatively small to how it actually is.

Answer:

2 is C. , 3 is C. , 4 is D.  

Step-by-step explanation:

2

Square roots are not polynomials

3

The highest degree of one term in the polynomial is 4

4

Terms are separated by (+) or (-) signs. If you count them up there are 4

Answer:

C, D, D, B

Step-by-step explanation:

2. A polynomial has only integer exponents, no square roots.  So C is not a polynomial.

3. The degree of the polynomial is the sum of the exponents of the highest term.  p has an exponent of 1 and q has an exponent 4, so 1+4 = 5. D

4. Count the number of terms being added or subtracted.  p^3, 4pq^2, q^2, and -3q.  So there are 4 terms. D

5. Standard form of a polynomial is written from the highest exponent to the lowest.  So the answer is B.

Answer:

the graph will be vertically compressed i just answered apex

Step-by-step explanation:

Answer:

The graph will be compressed vertically.

Step-by-step explanation:

Answer:

[tex]\large\boxed{\{x\ |\ x>2\}}[/tex]

Step-by-step explanation:

[tex]5x+7>17\qquad\text{subtract 7 from both sides}\\\\5x>10\qquad\text{divide both sides by 5}\\\\x>2[/tex]

Answer:

16100

Step-by-step explanation:

n = 100

a1 = 15

a100 = 307

The first thing you have to do is solve for d

a100 = a1 + (n - 1)*d

307 = 15 + (100 - 1)*d

307 = 15 + 99*d

307 - 15 = 99*d

292 = 99 d

d = 292 / 99

d = 2.94949494

That's a real odd result, but it is what you get.

Sum = (a + L)*n/2

sum = (15 + 307)*n/2

Sum = 322 * 100 / 2

Sum = 16100 It looks like I didn't have to solve for d. The person who made this up sure didn't

Answer:

nearest whole = 7740

nearest ten = 7740

nearest hundred = 7700

nearest thousand = 8000

pretty much by simply solving for "y".

[tex]\bf 3x+2y=6\implies 2y=-3x+6\implies y=\cfrac{-3x+6}{2} \\\\\\ \underset{\textit{distributing the denominator}}{y=\cfrac{-3x}{2}+\cfrac{6}{2}~\hfill }\implies y=-\cfrac{3}{2}x+3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

y = -3/2 x +3

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

3x+2y = 6

Subtract 3x from each side

3x-3x+2y = -3x+6

2y = -3x+6

Divide each side by 2

2y/2 = -3x/2 +6/2

y = -3/2 x +3

This is in slope intercept form where the slope is -3/2 and the y intercept is 3