Use the following function to find r(0) r(x)=-x+1

Write an equivalent expression for 3 (1-7)

Radda [10]

3 (1-7) = 3*1+3*-7
I really just used the distributive property for this.

6 0

3 years ago

Please help me I really need this answer.

Sindrei [870]

Reduce planning cycle times, optimize operational plans and forecast accurately. Have Interactive Content, Dynamic Reporting, Guided Experience, and Automatic Recommendations. Hopes this helps like you helped me :D

8 0

4 years ago

Every year, a town surveys the size of its wetland ecosystems. This equation estimates the total wetland area, in acres, over ti

nignag [31]

Answer:

When t=10, the town is predicted to have around 443 acres of wetlands.

At one time, the town had 740 acres of wetlands.

The wetland area in the town decreases by 5% per year.

Step-by-step explanation:

Given

$f(t) = 740 * (0.95)^t$

Required

The true statements

$(a)\ f(10) = 443$

We have:

$f(t) = 740 * (0.95)^t$

Substitute 10 for t

$f(10) = 740 * (0.95)^{10$

$f(10) = 443$

Hence, (a) is true

$(b)\ f(t) = 740$

We have:

$f(t) = 740 * (0.95)^t$

Substitute 740 for f(t)

$740 = 740 * (0.95)^t$

Divide through by 740

$1 = 0.95^t$

Express 1 as 0.95^0

$0.95^0 = 0.95^t$

Cancel out the bases

$0 = t$

$t = 0$

Hence, the area had 740 acres initially;

(b) is true

$(c)\ r = 5\%$

We have:

$f(t) = 740 * (0.95)^t$

Using the general formula

$f(t) = a * b^t$

By comparison:

$b = 0.95$

0.95 < 1 means that:

$b = 1 - r$ --- where r = rates

$0.95 = 1 - r$

Collect like terms

$r = 1 - 0.95$

$r = 0.05$

Express as percentage

$r = 5\%$

Hence, (c) is true

$(d)\ f(10) = 492$

In (a)

$f(10) = 443$

Hence, (d) is false

$(e)\ r = 95\%$

In (c)

$r = 5\%$ ---- decrement

Hence, (e) is incorrect

5 0

3 years ago

For 99 pts and Brainliest The vertices of kite DEFG are (5, 5), (8, 2), (5, -4), and (2, 2), respectively. Prove that the diagon

Brums [2.3K]

Answer:

See below

Step-by-step explanation:

Vector argument

Vector DF is (5, -4) - (5, 5) = (0, -9).

Vector EG is (2, 2) - (8, 2) = (-6, 0).

The dot-product of these two vector is (0, -9)•(-6, 0) = 0·(-6) + (-9)·0 = 0.

When the dot-product of two vectors is zero, those vectors are at right-angles to each other. Therefore diagaonal DF ⊥ diagonal EG.

_____

Alternate argument

The x-coordinates of points D and F are the same, so diagonal DF is a vertical line. The y-coordinates of points E and G are the same, so diagonal EG is a horizontal line. Vertical lines are perpendicular to horizontal lines, so DF ⊥ EG.

3 0

3 years ago

The table shows the height of a softball that Hallie threw in the air. Is the relationship shown linear? Why or why not?

andrew11 [14]

Answer:

Not a linear relationship

Step-by-step explanation:

Given

The attached table

Required

Linear or not

To do this, we simply calculate the slope of the table at different intervals.