What is the slope of that line?

7+2x-7x=-5(x-3)-2(6x-8)

Zolol [24]

Answer:

x=1

Step-by-step explanation:

8+2x-7x=5(x-3)-2(6x-8)

8+2x+7x=5x-15-12x+16

8+15-16=5x-12x-3x-7x

23-16=-7x-3x-7x

17=-17x

x=1

6 0

3 years ago

Read 2 more answers

Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O

Triss [41]

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

Where

$(a,b) = (2,4)$

So, we have:

$Rate = \frac{f(4) - f(2)}{4 - 2}$

$Rate = \frac{f(4) - f(2)}{2}$

Using the attached graph, we have:

$f(2) = 4$

$f(4) = 16$

So, we have:

$Rate = \frac{16- 4}{2}$

$Rate = \frac{12}{2}$

$Rate = 6$

4 0

3 years ago

The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular p

Vesna [10]

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

3 0

3 years ago

Cineplex operates two movie theaters in a city. The profit from the theater can be representened by the example t^3-t^2+2t-100 w

irina [24]

Complete question is;

Cineplex operates two movie theaters in a city. The profit from one theater can be represented by the example t³ - t² + 2t - 100 where t is the number of the tickets sold. The profits from the second theater can be represented by the expression t² - 2t - 300.

Which statements are true about the expression representing Cineplex's total profits in that city?

A) The total profit expression is a polynomial

B) The total profit expression has a constant term

C) The total profit expression is quadratic

D) The total profit expression is a binomial.

E) The total profit expression has four terms

Answer:

A) The total profit expression is a polynomial

B) The total profit expression has a constant term

D) The total profit expression is a binomial

Step-by-step explanation:

Profit from the first theater is;

t³ - t² + 2t - 100

While profit from second theater is; t² - 2t - 300

It means total profit is;

t³ - t² + 2t - 100 + t² - 2t - 300

This gives;

t³ - 400

Now, this is a polynomial as the highest degree is 3. So option A is correct.

Total profit equation has a constant term which is "t". Thus, option B is correct.

Total profit equation is not quadratic as the highest degree is 3. Thus, option C is wrong.

Total profit equation is Binomial because it has just 2 terms. Option D is correct.

Option E is wrong because Total profit equation doesn't have four terms.

7 0

4 years ago

Create an exponential to describe $100 at 2% interest, compounded annually, for x years. y=100(.98)^x y=100(.8)^x y=100(1.2)^x y

zysi [14]

The exponential to describe $100 at 2% interest, compounded annually, for x years is $y=100(1.02)^{x}$

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

$A=P\left(1+\frac{r}{n}\right)^{n t}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this sum,

P = $ 100

$r = 2 \% = \frac{2}{100} = 0.02$

number of years = x

Here given that compounded annually , so n = 1

Let "y" be the amount after "x" years

Substituting the values in formula we get,

$\begin{aligned}&y=100\left(1+\frac{0.02}{1}\right)^{1 \times x}\\\\&y=100(1+0.02)^{x}\\\\&y=100(1.02)^{x}\end{aligned}$

Thus the exponential to describe is $y=100(1.02)^{x}$

5 0

4 years ago