What is y-5=3(x+1) in slope intercept form

Answer:

yes.

Step-by-step explanation:

24/48 is half. Anything less than 24 would be less than half.

Answer:

Yes.

Step-by-step explanation:

Half of 2 is 1, so 1/2 means half.

Half of 48 is 24, so 24/48 is also half.

23/48 is less than 24/48, so 23/48 is less than 1/2.

Answer : The median of the given set of data of values is, 323

Step-by-step explanation :

Median : It is the middle term that is sorted by the list of numbers. It is determine by placing the numbers in increasing order.

For odd observations the formula will be: [tex]\frac{n+1}{2}[/tex]

For even observations the formula will be: [tex]\frac{n}{2}+1^{th}\text{ term}[/tex]

As we are given that the set of data:

307, 309, 323, 304, 390, 398

First we have to placing the numbers in increasing order.

304, 307, 309, 323, 390, 398

Now we have to determine the median.

For even data:

[tex]\frac{n}{2}+1^{th}\text{ term}[/tex]

n = 6

[tex]\frac{6}{2}+1^{th}\text{ term}[/tex]

[tex]4^{th}\text{ term}[/tex]

The number at 4th position is, 323

Thus, the median of the given set of data of values is, 323

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the slope m = 2 and the y-intercept b = 0. Substitute:

y = 2x + 0 = 2x

Answer:  The correct option is (C) [tex]y=2x.[/tex]

Step-by-step explanation:  We are given that the slope of a line is 2 and the y-intercept is 0.

We are to find the equation of the line written in the slope-intercept form.

The equation of a line in slope-intercept form is given by

[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.

For the given line, we have

slope, m = 2   and   y-intercept, c = 0.

Therefore, the equation of the line in slope-intercept form will be

[tex]y=mx+c\\\\\Rightarrow y=2\times x+0\\\\\Rightarrow y=2x.[/tex]

Thus, the required equation of the line in slope-intercept form is [tex]y=2x.[/tex]

Option (C) is CORRECT.

Answer:

.30p

Step-by-step explanation:

Answer:

For data to be continuous, it can take on any value.

Step-by-step explanation:

For example, a line on a coordinate graph never stops at a certain point, if it does, it would be discrete.

Answer:

hello : a²b² =4

Step-by-step explanation:

2ײ + 3x - 4=0

The roots of this equation exist because (2)(-4)<0

note : a'x²+b'x +c' =0.......The roots of this equation : a and b

a×b = c'/a'       a' =2 and b'=3 and c' = - 4

in this exercice ; a²b² = (ab)² = (c'/a')²  = (-4/2)² = (-2)² =4

Answer:

4

Step-by-step explanation:

given a quadratic equation in standard form

y = ax² + bx + c = 0 : a ≠ 0

with roots α and β, then

the sum of the roots α + β = - [tex]\frac{b}{a}[/tex] and

the product of the roots αβ = [tex]\frac{c}{a}[/tex]

2x² + 3x - 4 = 0 ← is in standard form

with a = 2, b = 3 and c = - 4

αβ = [tex]\frac{-4}{2}[/tex] = - 2, hence

α²β² = (αβ)² = (- 2)² = 4

Answer:

0, 5, 7, 11, ...

Step-by-step explanation:

1^2 = 1; 1 - 1 = 0; 0 is divisible by 6

5^2 = 25; 25 - 1 = 24; 24 is divisible by 6

7^2 = 49; 49 - 1 = 48; 48 is divisible by 6

11^2 = 121; 121 - 1 = 120; 120 is divisible by 6

Answer:

The tank will be half empty after 37.5 min, or 37 min 30 sec.

Step-by-step explanation:

"Half empty" means that the tank still contains 75 gallons of water.

75 gallons

---------------- = 37.5 min

2 gal/min

The tank will be half empty after 37.5 min, or 37 min 30 sec.

Answer:

7/4, 1.25 or 1 3/4

Step-by-step explanation:

Answer:

Exact form  7/4

Decimal form 1.75

Mixed Number 1 3/4

Step-by-step explanation:

Step-by-step explanation:

-52-1x= 9(x+9)+9x

-52-1x= 9x+81+9x (now combine like terms)

-52-1x= 18x+81

-1x= 18x+81

            -52

-1x=18x+29

-1x=29

+18x

17x= 29

      ÷17

x=1.705

Hope this helps, I'm not good at explaining it with words, so I just showed the work...

41 minutes

When 9 people are painting 9 walls, there are the same amounts of people and walls.  This means all of the walls are being painted at the same time, with one person painting each wall.

The same applies to 14 people painting 14 walls.  All of the walls are being painted at the same time, with one person painting each wall.

Even if there was only one person painting one wall, it would take 41 minutes.

Answer:

41 minutes

Step-by-step explanation:

It takes 41 minutes for 9 people to paint 9 walls.

9 walls/ 9 people = 1 wall / person

So it takes 41 minutes  for 1 person to paint 1 wall

14 walls/ 14 people = 1 wall / person

It will take the same amount of time

41 minutes

Answer: [tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

[tex](x^{a})(x^{b}) = x^{a + b}[/tex] (Exponents with the same base that are being multiplied together can have the exponents added)

[tex](x^{a})^{b} = x^{(a)(b)}[/tex] (A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)

Let's apply it!

First, let's simplify what's inside the parenthesis.

[tex]x^{\frac{4}{3} } x^{\frac{2}{3} }[/tex] (Remember, they have the same base of "x", so we can add the exponents)

[tex]x^{\frac{4}{3} + \frac{2}{3} }[/tex] = [tex]x^{\frac{6}{3} }[/tex] = [tex]x^{2}[/tex]

Now we have [tex](x^{2})^{\frac{1}{3} }[/tex]. Let's use the second rule.

[tex](x^{2})^{\frac{1}{3} }[/tex] = [tex]x^{\frac{2}{3} }[/tex]

Hope this helps! :^)

Answer:

B

Step-by-step explanation:

Just took the test

Answer:

Answer:3.33

Answer:3.33 Step-by-step explanation:

The answer is 3.33

2/3 × 5 = 3.33

Answer:

Step-by-step explanation:

2/3 × 5 = 10/3

Answer:

The answer is....

Step-by-step explanation:

y= -10x+400

Follow below steps:

The student's question involves writing a linear function for the height of an elevator as a function of time, given that the elevator descends from 400 feet to 250 feet in 15 seconds.

First, let's find the rate of descent by calculating the change in height over the change in time. This gives us (250 feet - 400 feet) / (15 seconds) = -10 feet per second. The negative sign indicates a downward movement.

Now, we can construct the linear function for height h(t), where t is the time in seconds. The initial height is 400 feet, so the y-intercept of our linear equation is 400. With a slope of -10, the function takes the form:

h(t) = -10t + 400

This function represents the height of the elevator after t seconds.

Final answer:

The solution to the inequality -x > 4 is all real numbers less than -4, which can be expressed as the interval (-∞, -4). This is found by dividing both sides by -1 and reversing the inequality to x < -4.

Explanation:

When considering the inequality -x > 4, we are trying to find the set of all values for the variable x that make the inequality true. The solution to such an inequality requires inverse operations and understanding the rules for inequalities, especially the rule that multiplying or dividing both sides of an inequality by a negative number reverses the inequality symbol.

Step by step, let's solve the given inequality:

This means that any number lower than -4 will be a valid solution for the inequality -x > 4. It's also valuable to visualize this set on a number line, where everything to the left of -4 (but not including -4 itself) is part of the solution set.

Answer: d

Step-by-step explanation:

The true statement is a smaller percentage of second-lunch students (38%) eat outside.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentages is %.

Percentage of the second lunch students that eat outside = (0.21/0.55) x 100 = 38%

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Answer:

5(V + 48) = 290

Step-by-step explanation:

5 times the sum of V and 48 is 290:     V + 48

5 times the sum of V and 48 is 290:     5(V + 48)

5 times the sum of V and 48 is 290:     5(V + 48) = 290

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

5x + y = 21 → (1)

x - 3y = 9 → (2)

Multiply (1) by 3 and add the result to (2) to eliminate y term

15x + 3y = 63 → (3)

Add (2) and (3) term by term

(x + 15x) + )- 3y + 3y) = (9 + 63)

16x = 72 ( divide both sides by 16 )

x = 4.5

Substitute x = 4.5 into (1) for corresponding value of y

22.5 + y = 21 ( subtract 22.5 from both sides )

y = - 1.5

Solution is (4.5, - 1.5 )

Answer:

x y^2 (11 x y - 4)

Step-by-step explanation:

Simplify the following:

4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y)

Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y:

4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2)

-y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3:

4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3

Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y):

(4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y)

x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3:

11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y)

x y^2 2 + x y^2 (-6) = -4 x y^2:

11 x^2 y^3 + -4 x y^2 + (2 y - 2 y)

2 y - 2 y = 0:

11 x^2 y^3 - 4 x y^2

Factor x y^2 out of 11 x^2 y^3 - 4 x y^2:

Answer:  x y^2 (11 x y - 4)

Answer:  xy2 • (11xy - 4)

Step-by-step explanation:

4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y)

Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y:

4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2)

-y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3:

4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3

Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y):

(4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y)

x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3:

11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y)

x y^2 2 + x y^2 (-6) = -4 x y^2:

11 x^2 y^3 + -4 x y^2 + (2 y - 2 y)

2 y - 2 y = 0:

11 x^2 y^3 - 4 x y^2

Factor x y^2 out of 11 x^2 y^3 - 4 x y^2:

Answer:  x y^2 (11 x y - 4)

Answer:

[tex] \frac{11}{12} [/tex]

The quotient in lowest terms is 2.

The quotient step by step for the given expression:

1. Given Expression:

[tex]\[ \frac{3}{\frac{2}{4}} : 3 \][/tex]

2. Step 1: Simplify the Complex Fraction:

  - The complex fraction is [tex]\( \frac{3}{\frac{2}{4}} \).[/tex]

  - To simplify, multiply the numerator by the reciprocal of the denominator:

[tex]\[ \frac{3}{\frac{2}{4}} = 3 \times \frac{4}{2} = 6 \][/tex]

3. Step 2: Divide by 3:

  - Now divide the simplified fraction (6) by 3:

[tex]\[ 6 : 3 = 2 \][/tex]

Therefore, the quotient in lowest terms is 2.

Answer:

8cm

Step-by-step explanation:

Ab=7cm

Since opposite sides are equal

Cd=7cm

7cm + 7cm = 14cm

Perimeter equals 30cm

:.30cm - 14cm =16cm (bc+ad)

Since both bc and ad are equal,

16cm/2=8cm

:.ad=8cm

Final answer:

In a parallelogram, opposite sides are equal, so by using the given perimeter of 30 cm and one side of 7 cm, we find the length of the adjacent side AD to be 8 cm.

Explanation:

In the given problem with parallelogram ABCD, we know AB = 7 cm and the perimeter is 30 cm. In a parallelogram, opposite sides are equal in length, so if AB = 7 cm, then CD also equals 7 cm. The perimeter P of a parallelogram is the sum of all its sides:

P = AB + BC + CD + DA

Given P = 30 cm and AB = CD = 7 cm, we can find the length of AD (which is also equal to BC) using the formula:

P = 2(AB + AD)

30 = 2(7 + AD)

30 = 14 + 2(AD)

30 - 14 = 2(AD)

16 = 2(AD)

AD = 16 / 2 = 8 cm

Therefore, the length of AD is 8 cm.

Answer: 4

Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.

ANSWER

[tex]^{\boxed {}} = 4.[/tex]

EXPLANATION.

The given equation is

[tex] \boxed {}(x + 2) + 2x = 2(x + 6) + 4x[/tex]

Let us expand the right hand side to obtain:

[tex]\boxed {}(x + 2) + 2x = 2x + 12+ 4x[/tex]

We group similar terms and keep the expression with the box on the left.

[tex]\boxed {}(x + 2) = 2x - 2x+ 12+ 4x[/tex]

Simplify

[tex]\boxed {}(x + 2) = 4x + 12[/tex]

We can see that the value of box the will be the equation to have no solution is 4.

Let us substitute 4 for box.

[tex]4(x + 2) = 4x + 12[/tex]

[tex]4x + 8 = 4x + 12[/tex]

[tex]4x - 4x = 12 - 8[/tex]

[tex]0 = 4[/tex]

This is not true. Hence the equation has no solution when

[tex]\boxed {} = 4[/tex]

Answer:

Option C [tex](3/2)p-5+(9/4)p=7-(5/4)p[/tex]

Step-by-step explanation:

we have that

The given equation is

[tex]-16p+37=49-21p[/tex]

Solve for p

Group terms that contain the same variable

[tex]-16p+21p=49-37[/tex]

Combine like terms

[tex]5p=12[/tex]

[tex]p=12/5[/tex]

[tex]p=2.4[/tex]

we know that

If a equation has the same solution as the given equation, then the solution of the given equation must satisfy the equation

Verify each case

case A) we have

[tex]2+1.25p=-3.75p+10[/tex]

substitute the value of p=2.4 in the equation and then compare the results

[tex]2+1.25(2.4)=-3.75(2.4)+10[/tex]

[tex]5=1[/tex] ----> is not true

therefore

The equation does not have the same solution as the given equation

case B) we have

[tex]-55+12p=5p+16[/tex]

substitute the value of p=2.4 in the equation and then compare the results

[tex]-55+12(2.4)=5(2.4)+16[/tex]

[tex]-26.2=28[/tex] ----> is not true

therefore

The equation does not have the same solution as the given equation

case C) we have

[tex](3/2)p-5+(9/4)p=7-(5/4)p[/tex]

substitute the value of p=2.4 in the equation and then compare the results

[tex](3/2)(2.4)-5+(9/4)(2.4)=7-(5/4)(2.4)[/tex]

[tex]4=4[/tex] ----> is true

therefore

The equation has the same solution as the given equation

case D) we have

[tex]-14+6p=-9-6p[/tex]

substitute the value of p=2.4 in the equation and then compare the results

[tex]-14+6(2.4)=-9-6(2.4)[/tex]

[tex]0.4=-5.4[/tex] ----> is not true

therefore

The equation does not have the same solution as the given equation

Answer:

675 miles

Step-by-step explanation:

7.5*90 (for the 1 1/2 hour)

Answer:

1 1/2= 90 minutes

90 minutes/7.5 miles per minute

Multiply

90/7.5

= 675 miles in 1 1/2

Hope this helped :)

There are 8 possible outcomes when you throw a coin three times:

[tex]HHH,\ HHT,\ HTH,\ HTT,\ THH,\ THT,\ TTH,\ TTT[/tex]

Out of these combination, the ones with exactly two heads are

[tex]HHT,\ HTH,\ THH[/tex]

So, 3 combinations out of 8 have exactly two heads. This means that the probability of having two heads with three coin throws is 3/8

Answer:  [tex]\bold{\dfrac{3}{8}}[/tex]

Step-by-step explanation:

Step 1: Numerator

You are looking for an outcome of getting exactly two heads out of a total of three tosses.  This can be written as: ₃C₂

The formula for a combination problem is: [tex]\dfrac{n!}{r!(n-r)!}[/tex]

[tex]_3C_2=\dfrac{3!}{2!(3-2)!}=\dfrac{3\times2\times1}{2\times1\times 1}=3[/tex]

There are 3 successes (heads)

Step 2: Denominator

You are looking for the total possible combinations of heads and tails for three tosses (2³)

1st toss and 2nd toss and 3rd toss

     2       x          2         x         2       =  8 total possible outcomes    

Answer:

9/5 is 4 over 1 so you would have 1 and add 4 on and since it is out of 9 it would be 1 4/5

Step-by-step explanation:

The mixed fraction  [tex]1 \frac{4}{5}[/tex] after solving gives the value of the fraction as 9/5.

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing a numerator(upper value) and denominator(lower value). A proper fraction is also called a fraction that is less than 1. A mixed fraction contains a sum of a whole number and a proper fraction.

We know that 9/5 is 4 over 1

Therefore, we would have 1 and add 4 on.

Since it is out of 9 then it would be [tex]1 \frac{4}{5}[/tex]

Hence, the mixed fraction  [tex]1 \frac{4}{5}[/tex] after solving gives the value of the fraction as 9/5.

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Answer:  C) (2,0), (-4,-8), (-2, 1)

Step-by-step explanation:

The translation rule for translating a point (x,y) by k units down :-

[tex](x,y)\rightarrow(x,y-h)[/tex]

Given :   A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is translated 3 units down.

Then, its new coordinates will be :

[tex](2,3)\rightarrow(2,3-3)=(2,0)[/tex]

[tex](-4,-5)\rightarrow(-4,-5-3)=(-4,-8)[/tex]

[tex](-2, 4)\rightarrow(-2,4-3)=(-2,1)[/tex]

Hence, the new coordinates =  (2,0), (-4,-8), (-2, 1)

Answer:

3/5

Step-by-step explanation:

cos A = [tex]\frac{AC}{AB}[/tex]=[tex]\frac{9}{15}[/tex]=[tex]\frac{3}{5}[/tex]

Answer:

Cos A = 3/5

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see a right angled triangle, ABC

AC = 9, CB = 12 and AB = 15

To find the value of Cos A

Cos A = Adjacent side/Hypotenuse

 = AC/AB

 = 9/15  = 3/5

Therefore the value of Cos A = 3/5

Answer:

If it is sediment: A sediment trap is a T-shaped pipe configuration designed to catch any debris in a gas line before it goes into the appliance.

Or if it was a typo and its supposed to say segment:line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Step-by-step explanation:

I know this because of the help of google.