How do I use distributive property to simplify 1/5( 30-1/3 )

A vertical stretch appears as a multiplier for the function value. Translation right appears as a value subtracted from the independent variable. Translation up appears as a value added to the function value.

For function f(x), stretching by a factor of 2, then translation 5 right and -1 up will give the function

... g(x) = 2f(x-5) -1

When f(x) = x², this becomes ...

... g(x) = 2(x -5)² -1

... g(x) = 2x² -20x +49

The equation of the new function in vertex form after the parent function of a quadratic equation is vertically stretched by 2, translated 5 units to the right and 1 unit down is y = 2(x - 5)^2 - 1.

The parent function of a quadratic equation is given by f(x) = x^2. When it is vertically stretched by a factor of 2, it becomes 2f(x) = 2x^2. 5 units translation to the right will give f(x - 5) = 2(x - 5)^2 and a 1 unit downward shift gives f(x) = 2(x - 5)^2 - 1. Therefore, the equation of the new function in vertex form is y = 2(x - 5)^2 - 1.

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5-(-8) = 5 + 8 =13

As multiplication of two negatives is positive

The mean could increase from 25 to 27.

The mean number of books in each box is 25. If Javier fills two more boxes, one with 26 comic books and one with 30 comic books, the mean could increase or stay the same. Let's calculate the mean with and without the additional boxes:

Mean without additional boxes: (4 boxes * 25 books per box) / 4 = 25

Mean with additional boxes: (6 boxes * 25 books per box + 26 books + 30 books) / 8 = (150 + 26 + 30) / 8 = 27

Therefore, the mean could increase from 25 to 27 if Javier fills two more boxes with 26 and 30 comic books.

The answer is the speed is less than or equal to 55 mph.

S≤55

It would be $165. If she earns $75 a day, plus what she make from selling the furniture. That 15% of $600 is $90. Simply add $90+$75 and your answer is $165.

The answer is  Credit Report

Answer:

Credit Report fellas!

Step-by-step explanation:

D

the volume (V ) of a cube = s³ ( where s is the length of the side )

here s = 20, hence

V = 20³ = 8000 cm³

a) 9 + -5 =  9-5 = 4

b)  3 +-4 = 3 -4 = -1

c) -8 + 6 = -2

9-5(-7x+5)

------------------

9+35x-25

35x+9-25

35x-16

Hello!

[tex]9 - 5(-7x + 5)[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to expand.

[tex]-5(-7x+5):35x-25[/tex]

[tex]9+35x-25[/tex]

Then simplify it should be the correct answer.

[tex]9+35x-25:35x-16[/tex]

[tex]=35x-16[/tex]

Answer⇒⇒⇒⇒35x-16

Hope this helps!

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Have a great day!

-Charlie

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

The width of the given rectangle is 8 units and the length is 20 units.

To find the length and the width of a rectangle when given that the length is 12 units longer than the width and the perimeter is 7 times the width, we can set up two equations. Let's denote the width as w and the length as l. According to the problem, l = w + 12 and the perimeter P = 2l + 2w is equal to 7w.

Set up the equations

l = w + 12

P = 2l + 2w

P = 7w

Substitute the value of l into the perimeter equation

7w = 2(w + 12) + 2w

Solve for w

7w = 2w + 24 + 2w

7w = 4w + 24

3w = 24

w = 8

Find the length using the width

l = w + 12

l = 8 + 12

l = 20

What is your question exactly??

Given cost function C(a) = 7.5a, where a is the number of T-shirts.

Let us complete table.

We need to plug a=1,2,3,4 in above function to get the costs to complete the table.

For a =1

C(1)= 7.5(1) = 7.50

For a =2

C(2)= 7.5(2) = 15.00

For a =3

C(3)= 7.5(3) = 22.50

For a = 4

C(4)= 7.5(1) = 30.00

In order to find the common difference we need to find the diffrences of costs 15-7.50 = 7.50

22.50-15.00=7.50.

a represents the number of T-shirts.

Domain of a is the numbers we can take for a.

So, we can take value for a as 0 or greater value.

Therefore, domain for a would be a is gerater than or equal to 0.

It would be 6,582 more miles to travel to Jakarta than it would to travel to London.

Hope this helps :)

Zoe will have 210 beads left after making all six of the friendship bracelets.

Zoe has 1500 beads and wants to make 6 friendship bracelets, with 215 beads needed for each bracelet. To find the total number of beads needed for all the bracelets, multiply the beads required for one bracelet (215) by the number of bracelets (6). This equals 1290 beads. To find the number of beads Zoe will have left after making all the bracelets, subtract the total number of beads needed (1290) from the initial number of beads (1500). Therefore, Zoe will have 210 beads left.

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4 months because:

1 month = 5 dollars

so you add 5 until you get to 20 dollars. And as many times as you added 5 is how

many months. So:

5= 5

5 + 5 = 10

5+5+5= 15

5+5+5+5= 20

^   ^   ^  ^

1    2  3  4

your answer is 4 months ^^

Given polynomial is:

[tex]-12x^{5}-6 x^{4}+5 x^{3}-x^{2}-12x+9[/tex]  ..... Lets say it is "a"

We have to subtract a polynomial from this above one, to get the answer as:

[tex]-19x^{5}-8x^{4}+8x^{3}-2x^{2}-18x+19[/tex]   ..... Lets say it is "c"

Lets say we have to subtract "b" so we have : [tex]a-b=c[/tex] or we can say [tex]a-c=b[/tex]

So, we will subtract "c" from "a" and get:

[tex]7x^{5}+2x^{4}-3x^{3}+x^{2}+6x-10[/tex]

Hence, this is the answer.

Use the distance formula to find the distance between points C (5,6) and D (2,2).

d=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Plug the corresponding values in to the equation.

d=[tex]\sqrt{(2-5)^2+(2-6)^2}[/tex]

Then simplify the rest of the equation.

d=[tex]\sqrt{(-3)^2+(-4)^2}[/tex]

d=[tex]\sqrt{9+16}[/tex]

d=[tex]\sqrt{25}[/tex]

d=[tex]5[/tex]

The distance of the two points CD is 5.

To find the distance between point C=(5,6) and point D=(2,2), we use the distance formula which results in d=5.0 units rounded to the nearest tenth.

To calculate the distance between point C and point D, we use the distance formula derived from the Pythagorean theorem. The coordinates given are C=(5,6) and D=(2,2). The distance formula is:

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

Substituting the coordinates of points C and D into the formula gives us:

d = √{(2 - 5)² + (2 - 6)²}

This simplifies to:

d = √{(-3)² + (-4)²}

Further simplifying:

d = √{9 + 16}

d = √{25}

Finally, taking the square root of 25:

d = 5

Therefore, the distance between point C and point D, rounded to the nearest tenth, is 5.0 units.

Answer:

17

Step-by-step explanation:

86 , 84 , 79, 87 , 75 , 84, 89, 90, 88, 92

The lowest and highest grades are shown above.

92 - 75 = 17

Answer:

17

Step-by-step explanation:

86 , 84 , 79, 87 , 75 , 84, 89, 90, 88, 92

The lowest and highest grades are shown above.

92 - 75 = 17

The option B, [tex]\(9 + 1 = 10\)[/tex] and [tex]\(10 + 6 = 16\)[/tex], correctly shows how to find [tex]\(16 - 9\)[/tex], as it demonstrates that starting with 9 and adding 1 to it and then adding 6 more yield the result of 16. Option b is the correct answer.

The equation to find [tex]\(16 - 9\)[/tex] should involve subtracting 9 from a number and getting a result of 16. Among the provided options:

A. 9+1=10 , 10 +5 =15: This equation does not result in 16.

B.  9+1=10 , 10+6=16 : This equation satisfies the condition [tex]\(16 - 9 = 16\)[/tex], so it's the correct answer.

C. 9+2=11 , 11+6=17 : This equation does not result in 16.

D. 9+1=10 , 10+9=19 : This equation results in 19, not 16.

So, option B, [tex]\(9 + 1 = 10\)[/tex] and [tex]\(10 + 6 = 16\)[/tex], correctly shows how to find [tex]\(16 - 9\)[/tex], as it demonstrates that starting with 9 and adding 1 to it and then adding 6 more yields the result of 16.

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C is the correct statement

∠CBE and ∠DEB are same side interior angles

|x| = 5

x = 5 or x = -5

You need a graph that has a closed dot on -5 and a closed dot on 5.

Answer: B. Picture B

The  ordered pair is a solution of the equation is option C) Both (10, 1) and (-4, 3)

To know which ordered pair is a solution of the equation x + 7y = 17, we can substitute the values of x and y from each option into the equation and see if it holds true:

A) (10, 1)

Substitute x = 10 and y = 1 into the equation:

10 + 7(1) = 10 + 7 = 17

So, (10, 1) is a solution.

B) (-4, 3)

Substitute x = -4 and y = 3 into the equation:

-4 + 7(3) = -4 + 21 = 17

So, (-4, 3) is also a solution.

So, both (10, 1) and (-4, 3) satisfy the equation x + 7y = 17, the correct answer is: option C) Both (10, 1) and (-4, 3)

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answer is C. 6 feet.

What is the expression?

Any value of y, except when y = -4.9, will make the expression equal to 2.45.

A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:8. This means that for every 2 scoops sugar crystals, there will need to be 8 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 800 ounces of water.

Sure, we'll start off by simplifying the ratio 2:8. Simplifying it gives us 1:4.

Our aim is to find a number, let's denote it by x, such that the ratio 2:x will be the same as 1:4.

To find such an x, we need to set up an equation using the principle of equivalence of ratios. This gives us 2/x = 1/4.

Now we proceed to solve this equation for x. We do this by cross-multiplying the fractions in the equation.

Cross-multiplication gives us 2*4 = x*1. Simplifying this yields 8 = x.

Hence, we can conclude that the number x that makes the ratio 2:x equivalent to 2:8 is 8.