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3 years ago

F f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f + g)(x).

Mathematics

1 answer:

shutvik [7]3 years ago

4 0

2x2 + 1 + x2 – 7
= 3x2 - 6

answer is C. 3x2 – 6

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

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6 0

2 years ago

I could use some help!! (worth 25 points)

lawyer [7]

Answer:

Step-by-step explanation:

100m

8 0

2 years ago

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Twice a number is less than or equal to the sum of a number and 15

Hoochie [10]

Answer:itequalsjeh

Step-by-step explanation:

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2 years ago

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Alchen [17]

I think it’s C not sure tho

5 0

2 years ago

Which of the following describes the “p/2” in the expression above?

julia-pushkina [17]

Option B. Quotient is the right answer

Step-by-step explanation:

Given expression is:

p/2 +4(7+p)

Let us look at the options one by one

A. factor

p/2 is not a factor as the factor is always multiplied with another factor

B. quotient

This is the right answer as p is being divided by 2. The quotient of both will be used for further calculations

Hence,

Option B. Quotient is the right answer

Keywords: MCQs, Expressions

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3 years ago