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2 years ago

What is the average rate of change from −3 to 0 of the function represented by the graph?

Mathematics

1 answer:

aleksandrvk [35]2 years ago

5 0

Answer:

-0.5

Step-by-step explanation:

The average rate of change from a to b:

[f(b) - f(a)]/(b - a)

Look in the graph for the function values at x = -3 and x = 0.

f(-3) = 2

f(0) = 0.5

average rate of change =

= [f(-3) - f(0)]/(-3 - 0)

= [2 - 0.5]/(-3)

= 1.5/(-3)

= -0.5

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Answer:

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Step-by-step explanation:

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y = x² - 6x + 15

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2 years ago

The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the

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Answer:

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Step-by-step explanation:

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2 years ago

Conner has $875 to deposit into two different savings accounts. He will deposit $500 into Account #1, which earns 3% annual simp

Svetlanka [38]

Answer:

The difference between the amounts in the two accounts, after two years is $\$128.29$

Step-by-step explanation:

Account #1

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=2\ years\\ P=\$500\r=3\%=3/100=0.03$

substitute in the formula above

$A_1=500(1+0.03*2)$

$A_1=500(1.06)$

$A_1=\$530$

Account #2

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=2\ years\\ P=\$375\r=3.5\%=3.5/100=0.035\\n=1$

substitute in the formula above

$A_2=375(1+\frac{0.035}{1})^{1*2}$

$A_2=375(1.035)^{2}$

$A_2=\$401.71$

Find the difference between the amounts in the two accounts

$A_1=\$530$

$A_2=\$401.71$

$A_1-A_2=\$530-\$401.71=\$128.29$

5 0

2 years ago