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klio [65]
2 years ago
11

Calculate the average rate of change for the function f(x) = x4 + 3x3 - 5x2 + 2x - 2, from x = -1 to x = 1

Mathematics
2 answers:
kolezko [41]2 years ago
5 0
In interval <a, b>  the average rate of change the function you count from this formula:
x=\frac{f(b)-f(a)}{b-a} \qquad b>a
Here you've got a=-1 and b=1:
f(a)=f(-1)=(-1)^4+3 \cdot (-1)^3 - 5 \cdot (-1)^2 +2 \cdot (-1)-2= \\ = 1-3-5-2-2=-11 \\ \\ f(b)=f(1)=1^4+3 \cdot 1^4 - 5 \cdot 1^2 + 2 \cdot 1 -2=1+3-5+2-2=-1 \\ \\ \hbox{So average rate of change this function is:} \\ \\ x= \frac{-1+11}{1+1}=\frac{10}{2}=5
Georgia [21]2 years ago
3 0
Workings and answer in the attachments below.

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PLEASE HELP I WILL MARK BRAINLIEST
Aleksandr-060686 [28]

The first one x=3 and for the second one x=2.

7 0
3 years ago
Solve x-5y=-30, 3x+5y=10 show your work
marin [14]

1) x = 5y - 30  

2) x = - 1.6y + 3.3

<em>im assuming these are 2 different questions</em>

<h3>Explanation:</h3><h3>1)</h3>

Start with the equation:

x - 5y= -30

add 5y to both sides:

x = 5y - 30

Your answer is x = 5y - 30  

<h3>2)</h3>

Start with the equation:

3x+5y=10

subtract 5y from both sides:

3x = -5y + 10

divide by 3 to get x singular

x = - 1.6y + 3.3

Your answer is x = - 1.6y + 3.3

Hope this helps :)

6 0
2 years ago
What is the area of a circle with a radius of 6 inches? (Leave your answer in terms of Pi. This means: do not multiple by 3.14,
pickupchik [31]

Answer:

36π in^2

Step-by-step explanation:

Area of a circle = π(6)^2 = 36π

6 0
2 years ago
A​ city's mean minimum daily temperature in February is 28°F. Suppose the standard deviation of the minimum temperature in Febru
DIA [1.3K]

Answer:

i think you might have to round or something

Step-by-step explanation:

6 0
3 years ago
Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co
masha68 [24]

Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

Hi

We define

B_{A}=1oz @ 35\%, wich means Brand A has 1 oz containing 35% peanuts.

B_{B}=1oz @ 25\%, wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) B_{a}+B_{b}=21

(2)0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21, after fixing it a little

(2)0.35B_{a}+0.25B_{b}=6.09

As we can use any method to solve the system, I used a calculator wich thrown the following results B_{a}=8.4 \ oz and B_{b}=12.6 \ oz.

4 0
2 years ago
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