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mihalych1998 [28]
2 years ago
11

Unit Test Unit Test Active 1 2 3 4 5 6 7 CO Given fix) = 17- x2, what is the average rate of change in f(x) over the interval [1

, 5]? -6, -1/2, 1/4, 1​
Mathematics
1 answer:
sveticcg [70]2 years ago
6 0

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another,  that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:

Let's start with x = 1.

f(1) = 17-(1)^2 so

f(1) = 16 and the coordinate is (1, 16).

f(5) = 17-(5)^2 so

f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:

m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6 So the answer is -6.

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Elizabeth has $50 in a savings account that earns 10% interest, compounded annually.
iris [78.8K]

Answer:

You would get around $44.35 just round it. Hope this helps:)

Step-by-step explanation:

7 0
3 years ago
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Find the value of x if 8∧3x/2∧10 = 4∧2x/16
solniwko [45]

Answer:

Solve for

x

by cross multiplying.

Exact Form:

x=

6/5

Decimal Form:

x=

1.2

Mixed Number Form:

x=

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6 0
3 years ago
Two angels re supplementary. The larger angle is 48 degrees more than the 10 times the smaller angle. Find the measure of each a
evablogger [386]
Supplementary angles are two angles that add up to 180°.

STEP 1:
find the value of x

x= smaller angle
10x + 48= larger angle

Add the two angles above to equal 180.

x + (10x + 48)= 180
combine like terms

11x + 48= 180
subtract 48 from both sides

11x= 132
divide both sides by 11

x= 12° smaller angle


STEP 2:
find the value of the second angle

=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle


CHECK:
12° + 168°= 180°
180°= 180°


ANSWER: The smaller angle is 12° and the larger angle is 168°.

Hope this helps! :)
8 0
3 years ago
Sally Lauren is the external auditor for Modus Industries, a public company that manufactures disk drives. As she analyzes the n
ololo11 [35]

Answer:

Fictitious account receivable

Step-by-step explanation:

Fictitious account receivables involves creating fake accounts or fake sales for the purpose of having the company appear to be in a better financial condition. This can be by creating fake invoices for fake customers.

These malicious activities are carried out by employees for the purpose of having an increase in sales commission.

The quick ratio that has suddenly increased from 1.7 to 2.3 can be due to the creation of these fictitious accounts and sales.

6 0
3 years ago
Rewrite each expression as a polynomial in standard form: (2x^2 − x^3 − 9x +1) − (x^3 +7x − 3x^2 +1)
Vitek1552 [10]

Answer:

Polynomial in standard form will be -2x^3+5x^2-16x

Step-by-step explanation:

We have given polynomial 2x^2-x^3-9x+1-(x^3+7x-3x^2+1)

We have to write this polynomial in standard form

For writing in standard form we have to first subtract the polynomial and then rearrange the order

So 2x^2-x^3-9x+1-(x^3+7x-3x^2+1)=2x^2-x^3-9x+1-x^3-7x+3x^2-1=-2x^3+5x^2-16x

So polynomial in standard form will be -2x^3+5x^2-16x

8 0
2 years ago
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