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Andrew [12]
1 year ago
8

Function operations and composition g(a)= 4a +4 h(a)= -4a + 5 Find (g + h)(a)

Mathematics
1 answer:
poizon [28]1 year ago
3 0

Answer:

(g + h)(a) = 9

Step-by-step explanation:

g(a)= 4a +4

h(a)= -4a + 5

(g + h)(a)

We add the functions

(g + h)(a) =  4a +4 + -4a + 5

Combine like terms

(g + h)(a) =0a +9

(g + h)(a) = 9

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A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
2 years ago
What is the slope of the line that passes through the points (-10, -8) and (−8,−16)? Write your answer in simplest form.
Leto [7]

Answer:y=-8 x=2

-8/2 or -4

Step-by-step explanation:

3 0
2 years ago
How many digits of PI do you know. Give the numbers, be honest.
victus00 [196]

Answer:

3.14159265358979323846264338327950288419716... thats all i know, but i havent studied it in a while

8 0
3 years ago
Read 2 more answers
Which of the following are exterior angles? Check all that apply.
victus00 [196]

Answer:

B) ∠ 5

C) ∠ 4

F) ∠ 6

Step-by-step explanation:

you can mark the other user brainliest

8 0
3 years ago
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Sheila has x 20 dollar bills, and Tamsin has y 10 dollar bills. Sheila has a total of $50 more than Tamsin, but Tamsin has 1 mor
natka813 [3]

Answer:

Sheila have 6 bills

Step-by-step explanation:

Suppose Sheila has x '20' dollar bills, so the total cost of her bill = $20x

Suppose Tamsin has y '10' dollar bills, so the total cost of her bill = $10y

<h3>Equation 1</h3>

<em>Sheila has a total of $50 more than Tamsin</em>

<h2><em>10y + 50 = 20x</em></h2><h2 /><h3>Equation 2</h3>

<em>Tamsin has 1 more bill than Sheila.</em>

<h2>y = x + 1 </h2><h2 />

<em>Now solve them by putting value of x in equation </em>

10( x + 1 ) + 50 = 20x

10x + 10 + 50 = 20x

60 = 20x - 10x

10x = 60

x = 60/10

x = 6

and

y = 7

<em> </em>

6 0
3 years ago
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