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3 years ago

The diagram represents a difference of squares.

2 answers:

8 0

The factors are
(m-6)(m+6)

Explanation:
Group the first two terms and factor out the common factor:
i.e m(m-6)
Repeat the procedure for terms 3 and 4.
6(m-6)

Regrouping:
m(m-6)+6(m-6)

On factoring out (m-6), we get:
(m-6)(m+6)

Naily [24]3 years ago

8 0

Answer: The answer is D. (m – 6)(m + 6).

Step-by-step explanation:

This is 100% correct for the online course edge.nuity.

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The town of Euclid started a voluntary recycling program. The first year it was utilized by 1500 residents. Every year afterward

tia_tia [17]

Answer:

170,070 residents

Step-by-step explanation:

Original population = 1500 residents

Total population after 6 years is calculated using the formula

A = P(1+r)^t

r is the rate = 120% = 1.2

t is the time = 6 years

P is the original population

A = 1500(1+1.2)^6

A = 1500(2.2)^6

A = 1500(113.379904)

A = 170,069.856

Hence the total people using the recycling program after 6 years is approximately 170,070 residents

3 0

3 years ago

Solve y = x2 +7 for x.

FromTheMoon [43]

$\huge\boxed{x=\sqrt{y-7}}$

We are trying to isolate $x$ . Subtract $7$ from both sides. $y-7=x^2$

Find the square root of both sides. $\boxed{\sqrt{y-7}}=x$

Note: I've attached a graph of $y=x^2 +7$ .

3 0

4 years ago

Find an equation for the inverse for each of the following.

IgorLugansk [536]

Answer:

To solve these first swap x and y, solve for y and name it inverse function

3. y = -8x + 2

x = -8y + 2
8y = -x + 2
y = -x/8 + 2/8
y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

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

4. y = (2/3)x - 5

x = (2/3)y - 5
(2/3)y = x + 5
y = (3/2)x + (3/2)5
y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

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

5. f(x) = 2x² - 6

x = 2y² - 6
2y² = x + 6
y² = 1/2x + 3
y = $\sqrt{1/2x + 3}$

f⁻¹(x) = $\sqrt{1/2x + 3}$

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

6. y = (x - 3)²

x = (y - 3)²
$\sqrt{x}$ = y - 3
y = 3 + $\sqrt{x}$

f⁻¹(x) = 3 + $\sqrt{x}$

4 0

3 years ago

Choose a number and add 5 to it. Multiply it by 2. Subtract by 7 and add 1. Divide by 2. Subtract 2. Will you get your starting

aleksklad [387]

8+5=13
13*2=26
26-7=19
19+1=20
20/2=10
10-2=8

100+5=105
105*2=210
210-7=203
203+1=204
204/2=102
102-2=100

4256+5=4261
4261*2=8522
8522-7=8515
8515+1=8516
8516/2=4258
4258-2=4256

Yes, I tested it 3 times with 3 different numbers.

6 0

3 years ago

What is the variable in the expression: 3y + 8

Ludmilka [50]

Answer:

Step-by-step explanation:

6 0

3 years ago