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3 years ago

The graph of a function f is shown. Use the graph to estimate the average rate of change from x = –2 to x = 0

Mathematics

1 answer:

vodomira [7]3 years ago

4 0

Answer:

Average rate of change = 2

Step-by-step explanation:

Formula to get the rate of change of a function between x = b and x = a is,

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

We have to calculate the average rate of change between x = -2 and x = 0

From the graph attached,

At x = -2,

f(-2) = 0

At x = 0,

f(0) = 4

Therefore, average rate of change = $\frac{f(0)-f(-2)}{0-(-2)}$

= $\frac{4-0}{2}$

= 2

Average rate of change of the given function between x = -2 and x = 0 is 2.

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Find the 11th term of the following geometric sequence. 1, 3, 9, 27, ...

Natasha_Volkova [10]

Answer:

the answer is 59048

Step-by-step explanation:

as the common ratio is multiplying by 3 and the first term is 1 so from the rule (Tn=ar(power n-1 ) )

so the 11th term is 1*3(power 11-1 ) equal 3 power 10 equal 59048

4 0

3 years ago

4 Om obtuse, scalene Obright, scalene Oc, right, isosceles Od, right, equilateral

harina [27]

Answer:

Step-by-step explanation:

B. right, scalene

3 0

2 years ago

What is an equation of the line that passing through the points (-2, -5) and (4, 7) ?

monitta

Answer:

$y=2x-1$

Step-by-step explanation:

Use the slope-intercept formula: $y=mx+b$ where m is slope and b the y-intercept.

$(-2,-5)(4,7)$

Use the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

$\frac{7-(-5)}{4-(-2)}$

Simplify parentheses (negative+negative=positive)

$\frac{7+5}{4+2}$

Simplify

$\frac{12}{6}=2$

2 is the slope:

$y=2x+b$

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:

(4,7)

$y=2x+b\\7=2(4)+b$

$7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1$

The y-intercept is -1. Insert into the equation. Change the + symbol to -:

$y=2x-1$

Done.

6 0

3 years ago

A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi

anzhelika [568]

Answer:

lowest score a college graduate must earn to qualify for a responsible position is 578

correct option is D. 578

Step-by-step explanation:

given data

mean = 500

standard deviation = 50

distribution = 6 %

to find out

What is the lowest score a college graduate must earn to qualify for a responsible position

solution

we know that here Probability P that is express as

P ( Z > x ) = 100% - 6% .....................1

so with the help of normal table

here value of Z is = 1.55 from cumulative probability 0.94

so by z score formula here x will be

x = z × standard deviation + mean ................2

so put here value

x = 1.55 × 50 + 500

x = 577.7387 ~ 578

so lowest score a college graduate must earn to qualify for a responsible position is 578

8 0

3 years ago

I use 3 fifth size strips to model 3/5.I want to use tenth size strips to model an equivalent fraction.How many tenth size strip

Yuri [45]

3/5= 3 fifth size strips
You want to find an equivalent fraction with the denominator of ten, correct? Then you would multiply the fraction in a way that will allow you to have a denominator of ten.
So...
3/5*2/2=6/10
You would need 6 tenth size strips.

5 0

3 years ago