Find N' after N(2, 3) was reflected over the line y = x + 2.

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Work Shown:

Let x = w-2

This will allow us to replace the (w-2) with x to get...

(w-2)(w+5)

x(w+5)

x*w + x*5 ... distribute

w(x) + 5(x)

Now replace x with w-2 and distribute again

w(x) + 5(x)

w(w-2) + 5(w-2)

w*w + w*(-2) + 5*w + 5*(-2)

w^2 - 2w + 5w - 10

w^2 + 3w - 10

Answer:

the answers is -10. I hope this helps you out

The solution to the inequality 3(x-4) ≥ 5x + 2 is when x = -10

Therefore, the correct answer is Option A. -10

Given data:

The inequality relation is represented as 3(x-4) ≥ 5x + 2

On simplifying the equation:

From the distributive property:

3x - 12 ≥ 5x + 2

Adding 12 on both sides:

3x ≥ 14 + 5x

Subtracting 5x on both sides:

-2x ≥ 14

Divide by -2 on both sides:

x ≤ -7

The inequality relation changes when the operand is -1.

So, the values of x should be less than -7

Hence, the solution is when x = -10, the inequality satisfies.

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The complete question is attached below:

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

–10

–5

5

10

Answer:

[tex]h(g(x))=x^2+x-2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Step-by-step explanation:

Composite Function

Suppose f(x) and g(x) are real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

The composite function can be found by substituting g into f.

We are given these functions:

[tex]f(x)=9-x[/tex]

[tex]g(x)=x^2+x[/tex]

[tex]h(x)=x-2[/tex]

Find:

a) h(g(x))

Substituting g into h:

[tex]h(g(x))=x^2+x-2[/tex]

b) h(g(f(x))

First we find g(f(x)):

[tex]g(f(x))=(9-x)^2+(9-x)[/tex]

Operating:

[tex]g(f(x))=81-18x+x^2+9-x[/tex]

Simplifying:

[tex]g(f(x))=90-19x+x^2[/tex]

Now find h(g(f(x)) replacing the above equation into h:

[tex]h(g(f(x))= 90-19x+x^2-2[/tex]

Simplifying and rearranging:

[tex]h(g(f(x))= 88-19x+x^2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Answer:1/r7+1 over 8 and 12

Step-by-step explanation:

The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

r Superscript negative 7 Baseline + s Superscript negative 12

⇒ r ⁻⁷ + s ⁻¹²

Now, We can simplify the expression as;

⇒ r ⁻⁷ + s ⁻¹²

⇒ 1 / r⁷ + 1 / s ¹²

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Thus, The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

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Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Ok! So you want to find slope! First, you will need two points which you already have. Next, you will want to plot those two points on a graph. Once, you have that you can draw a straight line between the two points and until the end of the graph. After that, you want to find the rise/run or rise over run. Rise meaning up or down and run meaning left or right. Sometimes your problem will want you to keep the rise/run format and sometimes your problem will ask for a who number in which case you will divide your rise/run (rise ÷ run). How to find the rise over run you ask, simple! Draw a line-up or down from your first (or second) point whichever works, until you reach the y-value of your second (or first) point one your two points are connected, count the rise (up or down) and then the run (left or right). If your run goes left its a negative, right a positive. If your rise goes up its a positive, down a negative.

Boom! You know how to find slope!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Your answer is: There is a mistake in Beth's answer the mistake was that she multiplied the area of the original triangle by the scale factor.

Step-by-step explanation:

Hope this helped : )

Answer:

b

Step-by-step explanation:

Given :

Plan A will cost $2.00 per song. Plan B will require a $15 joining fee and $1.49 per song.

To Find :

When will Plan A be a less expensive option for Aubrey? When will Plan B be a less expensive option for Aubrey?

Solution :

Let, after x songs Plan A will be less expensive.

So,

2x < 15 + 1.49x

0.01x < 15

x < 29.41 i.e x < 30

Before, 30 songs Plan A will be less expensive.

After, 30 songs Plan B will be less expensive.

Hence, this is the required solution.

Answer:

3x^3 − x^2 − 10x

Step-by-step explanation:

V= l*w*h

V= x * (x-2) * (3x+5)

V= (x(x−2)) (3x+5)

= (x(x−2)) (3x) + (x(x−2)) (5)

= 3x^3 − 6x^2 + 5x^2 − 10x

=3x^3 − x^2 − 10x

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15     Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

Answer:

2x^2 -x - 2 + (3/x-2)

Step-by-step explanation:

Answer:

h(3) = 2

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

To find h(3) substitute x = 3 into h(x), that is

h(3) = | 5(3) - 17 | = | 15 - 17 | = | - 2 | = 2

Answer:

0,1

Step-by-step explanation:

i believe that’s the answer sorry if it’s incorrect

Answer:

5 is c 9 is f

Answer:21

Step-by-step explanation:12 times three is 36 and 7 times 3 is 21

Answer:

182.88cm

Step-by-step explanation:

multiply the length value by 30.48

Answer:

The "if" part is the hypothesis.

The "then" part is the conclusion.

Hypothesis: an animal is a poodle

Conclusion: it is a dog

Answer:

11

Step-by-step explanation:

Well basically i took 19 1/4 and divided it by 1 3/4 and there for i got 11. YOUR WELCOME.

There are 11 pieces of ribbon doe Nadya have.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Nadya has 19 1/4 yards of ribbon she cuts ribbon into pieces that measure 1 3/4.

Now, We can find the number of pieces as;

⇒ 19 1/4 ÷ 1 3/4

⇒ 77/4 ÷ 7/4

⇒ 77/4 × 4/7

⇒ 77/7

⇒ 11

Therefore, There are 11 pieces of ribbon doe Nadya have.

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Answer:

Identity property of multiplication

Step-by-step explanation:

From step 5:

[tex] 1x = 20 [/tex]

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.

Step 6:

[tex] x = 20 [/tex]

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.

Therefore, 1x = 1 × x = x.

The variable x multiplied by 1 will give you x.

Answer:

30

Step-by-step explanation:

The money that was in Jennifer’s account when it was opened should be 30.

Since

Jennifer's bank account is modeled by the following equation

where x equals the number of weeks and f(x) equals the total balance.

And, the equation is f(x) = 12x + 45.

So here as per the attached graph, so the money should be 30.

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Answer:

In order that both functions to represents the same (one) graph then the value of k is 5

Step-by-step explanation:

The given functions are;

f(x) = 6·x² - 12·x + 11

g(x) = 6·(x - 1)² + k

Expanding the function g(x) gives;

6·(x - 1)² + k = 6 × (x² - 2·x + 1) + k = 6·x² - 12·x + 6 + k

∴ 6·(x - 1)² + k = 6·x² - 12·x + 6 + k

Comparing with the function for f(x), we have;

f(x) = 6·x² - 12·x + 11

g(x) = 6·(x - 1)² + k = 6·x² - 12·x + 6 + k

The difference between the two functions is the constant term, which are;

Constant term for f(x) = 11

Constant term for g(x) = 6 + k

For the two terms to describe exactly the same graph, the constant term should also be equal

We will then have, 11 = 6 + k

∴ k = 11 - 6 = 5

k = 5

For both functions to represent the same graph the value of k = 5.

Answer:

(8,−5)

Step-by-step explanation:

Answer: x=2, y=-2

Step-by-step explanation:

1) I will find x first, so make the amount of Ys same

   3(5x+2y=6)

   2(4x-3y=14)

2) 15x+6y=18

    8x-6y=28

3) combine them together so Ys are all cancelled and 23x=46

4) x=2

5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14

6) 8-3y=14

7) -3y=6

8) y=-2

Answer:

12

Step-by-step explanation:

the ruler measured 12

Answer:

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

Your answer would be 133.

Answer: b - $8/1 lb

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I got it right :)

Answer:

15 times larger than b

Step-by-step explanation:

=3×10^-2/2×10^-3

=15×10^-1×10^+1

=15

Answer:

(x-1)(x^3+4x^3-1)=(x-1)(5x^3-1)

Step-by-step explanation: