What is the average rate of change? f(x)=x^2+3 From x=0 to x=3

Nikitich [7]

The answer to the question is that the surface area is 48

3 0

3 years ago

Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next clu

REY [17]

Answer:

Both will be at the same page after 6.5 days and the page number will be 180.

Step-by-step explanation:

Let after x days Nora and Lila will be at the same page.

Nora is on page 128 and plans to read 8 pages per day until the next club meeting.

After x days Nora will be at the page number = 128 + 8x

Similarly, Lila is on page 102 and she reads 12 pages per day.

After x days Lila will be on page number = 102 + 12x

Since after x days they will be at the same page

Therefore, 128 + 8x = 102 + 12x

12x - 8x = 128 - 102

4x = 26

x = $\frac{26}{4}$

x = 6.5 days

Page number they will be on = 128 + 8(6.5)

= 128 + 52

= 180

Both will be at the same page after 6.5 days and the page number will be 180.

3 0

4 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

Add 4.25 and 12.835 explain how u got it answer

olga2289 [7]

Answer:

17.085

Step-by-step explanation:

+1

12.835

+ 4.25

17.085

3 0

3 years ago

Read 2 more answers

Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=

yulyashka [42]

Answer:

$m=4$ or $m=\frac{4}{1}$

Step-by-step explanation:

To find slope we use the slope formula

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Two points on the line we can classify are (3,4) and (4,8)

5 0

2 years ago

What is the average rate of change?f(x)=x^2+3From x=0 to x=3​

What is the average rate of change?f(x)=x^2+3From x=0 to x=3