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Eduardwww [97]
3 years ago
6

PLEASE HELP ASAP

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x  ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2,  f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [-5 - 3] / [2-0]

                      = -8 / 2

                     = - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

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Given the function f(x) = 5^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average r
Wewaii [24]
Table of the graph:
x: <em></em>1  2    3 
y: 5  25  125

Average Rate of Change = \frac{y_{2}-y_{1} }{x_{2} -  x_{1} }

Section A = 25-5/2-1 =20/1 =20
Section B = 125 - 25/ 3-2 = 100/1 = 100

So, Section B is 5 times greater than A.
Section B is greater because the slope of two points is greater than points in Section A.
8 0
3 years ago
Rewrite the equation in standard form.<br><br> y=2x-10
NikAS [45]

Answer:

The equation in standard form:

2x-y-10=0

7 0
3 years ago
Amy mixed together 2.4 gal. of Brand A fruit drink and 5.6 gal. of apple juice. Find the percent of fruit juice in Brand A if th
stellarik [79]

Answer:

D

Step-by-step explanation:

The fruit punch has 2.4 gallons but x %

Apple juice has 5.6 gallons but 100 % or 1

The total mixture would then have 8 gallons and 82 %.

2.4+5.6=8

8×0.82 = 6.56

Then you would do 2.4x + 5.6(1) = 6.56

2.4x + 5.6 = 6.56

2.4x = 0.96

0.96/2.4 = 0.4 = 40%

Therefore, Brand A has 40% fruit juice

5 0
3 years ago
Find the exact angular velocity in radians per hour wind W= 4.1 rpm
nataly862011 [7]

Answer:

1545.66 rad/h

Step-by-step explanation:

We need to find the angular velocity in rad/hour when wind is moving with a speed of 4.1 rpm.

We know that,

1 revolution = 2π rad

1 hour = 60 minute

So,

4.1\ rmm = 4.1\times \dfrac{2\pi }{(\dfrac{1}{60})}\ rad/h\\\\=1545.66\ rad/h

So, the required angular velocity is 1545.66 rad/h.

6 0
3 years ago
What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?
Ainat [17]

Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function f(x)=-3x+79 over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function f(x)=-3x+79 over [2,4]

The rate of change is the slope of the line,

So, \text{Rate of change}=\frac{f(4)-f(2)}{4-2}

f(4)=-3(4)+79

f(4)=-12+79

f(4)=67

f(2)=-3(2)+79

f(2)=-6+79

f(2)=73

Substitute,

\text{Rate of change}=\frac{67-73}{4-2}

\text{Rate of change}=\frac{-6}{2}

\text{Rate of change}=-3

Therefore, The average rate of change is -3.

8 0
3 years ago
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