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son4ous [18]
3 years ago
10

If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).​

Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0

Answer:

(f+g)(x) = 3x^{2} - 6

Step-by-step explanation:

First, lets understand what (f+g)(x) means.

(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).

So, this is what the equation looks like when you substitute the functions in to (f+g)(x):

(f+g)(x) = (2x^{2} +1) + (x^{2}  -7)

Now, combine like terms and Simplify:

(f+g)(x) = 3x^{2} - 6

This is your final answer.

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Help i need to finish it today And can you explain the steps so i wont need help next time or if you don’t want to its okay :)
romanna [79]

Answer:

110 feet

Step-by-step explanation:

The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)

Substitute the values:

A = 2 (5x5 + 3x5 + 3x5)

A = 2 (25 + 15 + 15)

A = 2 (25 + 15 + 15)

A = 2 (55)

A = 110

6 0
3 years ago
A set of a thousand numbers has a mean of zero.
Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

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

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

M = \frac{x_1 + x_2 + ... + x_n}{N}

Here we know that:

  • The mean of the set is 0.
  • The set has 1000 elements.
  • 998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

\frac{1 + 1 + 1 + ... A + B}{1000}  = 0

We can rewrite this as:

1 + 1 + 1 +... + A + B = 0

And we have 998 ones, then:

1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A

Now we have B isolated.

With this, the mean of A and B can be written as:

\frac{A + B}{2}  = \frac{A - 980 - A}{2} = -490

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0
2 years ago
What does cpctc represent and when would you use it
faltersainse [42]
CPCTC represents<span> is a succinct statement of a theorem regarding </span>congruent trigonometry<span>, defined as triangles either of which is an </span>isometry of the other. <span>CPCTC states that if two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well. CPCTC is useful in proving various theorems about triangles and other polygons.</span>
6 0
3 years ago
Read 2 more answers
PLS HELP!!!! A rectangle shown has a length of 11cm and a width of 4.2cm. A circle is drawn inside that touches the rectangle at
oee [108]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Step by step 579÷3 plz i need help
ololo11 [35]
579/3 fist you divid 5 by 3 than you subtract them and get two than you bring down your seven and have 27 divided by 3 and that is 9. than you bring down your last number and than you come up with an answer of 193.
8 0
4 years ago
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