Which expression is equivalent to -40 + (-20) + (-60)?

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

S≤55

answer is C. 6 feet.

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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Answer

24 quarts of green paint should be mixed with 4 cups of black paint.

That is (96 cups)

Step by step explanation

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint                      Black paint

16                                          2/3

x                                            4

16/x =2/3 divided by 4

[tex]\frac{16}{x}  = \frac{2/3}{4}[/tex]

Cross multiplying, we get

16*4 = 2/3 x

64 = 2/3 x

x = 64/(2/3)

x = 64 * 3/2

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

Thank you.

To make Jasper Green with 4 cups of black paint, you need to create a proportional relationship and solve for the amount of green paint needed, which is 96 cups.

To solve this, we need to set up a proportional relationship between the amounts of green paint and black paint. In the first mixture, we have 4 quarts of green paint for every 2/3 cups of black paint. Converting 4 quarts to cups (since 1 quart = 4 cups), we get 16 cups of green paint.

Then we can set up the proportion: (16 cups green / 2/3 cups black) = (x cups green / 4 cups black). Cross multiplying and solving for x, we get x = 96 cups of green paint. So, to make Jasper Green with 4 cups of black paint, you need to mix in 96 cups of green paint.

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

Hope this helps :)

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.

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

1. 3p: Add 6 to negative 3, and carry over the "p"

3. 6x: Subtract 1 from 7 and carry over the "x"

5. -4v: Add 6 to negative 10 and carry over the "v"

7. -4r + 9: Add 5 to -9 and carry over the "r". Then put "+9" after the variable, since the other 9 was by itself.

9. 14n: Add 5 to 9 and carry over the "n".

I hope this helps!

C is the correct statement

∠CBE and ∠DEB are same side interior angles

What is your question exactly??

a) 9 + -5 =  9-5 = 4

b)  3 +-4 = 3 -4 = -1

c) -8 + 6 = -2

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

As multiplication of two negatives is positive

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

Answer: The correct option is second, i.e., [tex]g(x)=3f(x)[/tex].

Explanation:

A functions g(x) is stretch or compressed of graph of function f(x) is defined by the equation,

[tex]g(x)=kf(x)[/tex]

Where, k is a constant and it shows the compress or stretch factor.

If k>0, then it is a stretch factor and the graph of f(x) is stretched by factor of k.

If k<0, then it is a compress factor and graph of f(x) is compressed by factor k.

Since the graph of g(x) is a vertical stretch of the graph of function f(x) ​​by a factor of 3, therefore,

[tex]g(x)=3f(x)[/tex]

So, the option second is correct.

We are given

First expression:

[tex]4^{-5} \cdot (4 \cdot 9)^{5} \cdot 9^{-3}=4^{-5} \cdot (4^{5} \cdot 9^{5}) \cdot 9^{-3}[/tex]

We used property

power rule-II:

Product to power distribute  to each base

[tex](a \cdot b)^m=a^m \cdot b^m[/tex]

Second expression:

[tex]=(4^{-5} \cdot 4^{5}) \cdot ( 9^{5}) \cdot 9^{-3})[/tex]

we used property

associative property of multiplication:

[tex]a \cdot b \cdot c \cdot d =(a \cdot b) \cdot (c \cdot d)[/tex]

Third expression:

[tex]=4^0 \cdot 9^2[/tex]

we used property

Product Rule:

Same base add exponents

[tex]a^m \cdot a^n =a^{m+n}[/tex]

Fourth expression:

[tex]=1 \cdot 9^2[/tex]

we used property

Zero Exponent :

Anything to the zero power  (except 0) is one

[tex]a^0=1[/tex]

Fifth expression:

[tex]= 9^2[/tex]

we used property

Multiplicative identity:

[tex]1 \cdot a=a[/tex]

Sixth expression:

[tex]= 81[/tex]

We used simplification

14.1 inches is the total snowfall for Dec. and Jan. together.

|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

 [tex]\frac{3 (ft)}{2(in)} by \frac{2(ft)}{\frac{4}{3}(in)}[/tex]

= [tex]\frac{3 (ft)}{2(in)} by \frac{2(3)(ft)}{4(in)}[/tex]

= [tex]\frac{3 (ft)}{2(in)} by \frac{3(ft)}{2(in)}[/tex]

Scale factor is: [tex]\frac{3(ft)}{2(in)}[/tex]

Answer:

Step-by-step explanation:

Every transformation has an original figure and a transformed figure.

In order to find the scale factor fo the transformation, we need to divide the transformed dimensions by the original ones.

So, in this case, the poster originally had 3 feet by 2 feet. Then, the reproduced artwork has 2 inches by 1 1/3 inches. Before we divide, we need to transform feet to inches.

We know that 1 feet equals 12 inches, that means

[tex]3ft \frac{12in}{1ft} =36in[/tex]

[tex]2ft\frac{12in}{1ft}=24in[/tex]

Then, we do the divisions

[tex]\frac{36in}{2in}=18\\\frac{24in}{1\frac{1}{3}in }=\frac{24in}{\frac{4}{3}in }=\frac{96}{3}=32[/tex]

Therefore, the scale factor is [tex]\frac{18}{32}=\frac{9}{16}[/tex]

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.

What is the expression?

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

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.

For such more question on yield

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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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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.

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 ^^

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