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3 years ago

If F(x) = 3x + 10x and g(x) = 5x - 3, find (f+g)(x)

1 answer:

5 0

(f+g)(x) represents the sum of the two functions f(x) and g(x).

Arrange these functions vertically and add up like terms:

 f(x) = 3x + 10
+g(x) = 5x - 3
-----------------------
(f+g)(x) = 8x + 7

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The distance between -18 and 15 is equal to _____. 18 - 15 15 - 18 -18 - 15 15 - (-18)

NemiM [27]

Answer: Choice D. 15 - (-18)

This results in 15 - (-18) = 15 + 18 = 33.

So from -18 to 15 on a number line is 33 spaces.

We can also say

|-18 - 15| = |-33| = 33

The use of absolute value is to ensure the distance is never negative.

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3 years ago

A $78.00 pair of shoes cost $84.63 after tax is added. What

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6.63 is the answer barbz

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2 years ago

A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a

Jet001 [13]

Answer:

The answer is below

Step-by-step explanation:

From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75

The confidence level (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.

The margin of error (E) is given as:

$E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07$

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

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3 years ago

What is the measure for the following ∠? m∠EOD 20 120 140

Eddi Din [679]

Answer:

Part 1) m∠EOD=20°

Part 2) m∠AOD=80°

Step-by-step explanation:

Part 1) Find the measure of angle EOD

we know that °

m∠EOD=m∠EOX-m∠DOX

we have

Observing the figure

m∠EOX=140°

m∠DOX=120°

substitute

m∠EOD=140°-120°=20°

Part 2) Find the measure of angle AOD

we know that °

m∠AOD=m∠DOX-m∠AOX

we have

Observing the figure

m∠AOX=40°

m∠DOX=120°

substitute

m∠AOD=120°-40°=80°

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3 years ago

Which of the following is true about a parallelogram?

andriy [413]

The diagonals bisect each other

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2 years ago

Read 2 more answers