Find the nth term of this quadratic sequence <br> 2, 8, 18, 32, 50,

Let f(x) = 4x – 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.

lesantik [10]

$f(x)=4x-5,\ g(x)=3x+7\\\\f(x)+g(x)=(4x-5)+(3x+7)=4x-5+3x+7\\\\=(4x+3x)+(-5+7)=7x+2\\\\\text{It's a linear function. The domain is the set of all real numbers.}\\\\Answer:\\\\f(x)+g(x)=7x+2\\D=\mathbb{R}$

8 0

3 years ago

Which function produces an output of 5 for an input of -6?

kodGreya [7K]

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

3 0

3 years ago

Wade's grandmother gave him $100 for his birthday. Wade wants to save his money to buy a new MP3 player that cost $275. Each mon

SCORPION-xisa [38]

7 months because after the 100 dollars u add u 25 7 times to get 275

5 0

3 years ago

Read 2 more answers

Can anyone help me pls I will mark brainlist !! :)))

Kay [80]

Answer:

14 inches

Step-by-step explanation:

The volume of a rectangular prism is V=l*w*h

Given the info in the problem, we have:

840=l*10*6

840=60l

14=l

The length of the prism is therefore 14 inches because volume is length*width*height and since we already have the volume, height, and width, we need to get the variable for length by itself.

5 0

3 years ago

Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5

lana [24]

To solve this we are going to use the simple interest formula: $A=P(a+rt)$
where
$A$ is the final amount.
$P$ is the initial investment.
$r$ is the interest rate in decimal form.
$t$ is the time in years.

Investment A. We know that the initial investment is $10,000, so $P=10000$ . We also know that the number of years is 5, so $t=5$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{3}{100} =0.03$
Lets replace those values in our formula to find $A$ :
$A=P(a+rt)$
$A=10000(1+0.03*5)$
$A=11500$

Investment B. $P=8000$ , $t=15$ , and $r= \frac{2.8}{100} =0.028$ .
$A=P(a+rt)$
$A=8000(1+0.028*15)$
$A=11360$

We can conclude that investment A will be worth than investment B at the end of the investment period.

3 0

3 years ago

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Find the nth term of this quadratic sequence 2, 8, 18, 32, 50,