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3 years ago

Given two functions f(x)=2x+1 and g(x)=−13x−3 , what is the function rule for (f+g)(x)

Mathematics

2 answers:

Tju [1.3M]3 years ago

5 0

Answer:

(f+g)(x)=5/3x−2

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

f(x)=2x+1 + g(x)=−1/3 x−3

add like terms

2x+(-1/3 x)=5/3 x

1+(-3)= -2

so...

(f+g)(x)=5/3 x−2

raketka [301]3 years ago

3 0

Answer:

- 11x - 2

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 1 - 13x - 3 ← collect like terms

= - 11x - 2

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4(0.5f−0.25)=6+f what is f I am so lost when we were doing this in class

muminat

4 (0.5f - 0.25) = 6 + f
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~ Harley Quinn~

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3 years ago

Read 2 more answers

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Vesnalui [34]

Answer:

The height of the triangle is $6$ cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is $A=\frac{1}{2}bh$ where $b$ stands for base and $h$ stands for height.

Let's substitute 30 $cm^2$ for the area and 10 for the base.

$30=\frac{1}{2} (10)h$

-------------------->>>>

Now, let's solve to find the height.

$30=\frac{1}{2}(10)h$

Multiply $\frac{1}{2}$ times $10$

$30=5h$

Divide both sides by 5.

$6=h$

-----------------------------------------

Hope this is helpful.

4 0

3 years ago

Find the length of arc RQ. Use 3.14

Helen [10]

Answer:

The length of arc PQ is 8.1 inches.

Step-by-step explanation:

First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :

$73 + 150 + 65 + ∠POQ = 360$

$288 + ∠POQ = 360$

$∠POQ = 360 - 288 = 72$

Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :

$arc = \frac{θ}{360} \times 2 \times \pi \times r$

$let \: θ = 72,\pi = 3.14,r = 6.48$

$arc = \frac{72}{360} \times 2 \times 3.14 \times 6.48$

$arc = 8.1 \: inches \: (near.tenth)$

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3 years ago

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Assoli18 [71]

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3 years ago

From a shipment of 400 light-bulbs, a sample of 80 was selected at random and tested. If 32 light-bulbs in the sample were found

denis-greek [22]

80 x 5 = 400
32 x 5 = 160
so you have about 160 defective bulbs

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3 years ago