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Nataly [62]
3 years ago
11

.SOLVE AND COMBINE LIKE TERMS! PLS REALLY NEED HELP!!! due in 10 minutes. WILL GIVE BRAINLIEST!

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Step-by-step explanation:

everything can be found in the picture

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Which relation is a function of x?
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Answer:

The fourth option with x values of -3,-2,4 and 7 is a function of x.

Step-by-step explanation:

This is due to it having only one of each x value.

On the other tables, they have multiple values for an x value. This means that it is not a function

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the state sales tax in pennsylvania is 0.06 (or 6%). if your total bill at the music store included $3.03 in sales tax, how much
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The answer is: 50.5

Solution:

3.03 x 100 = 303
303 ÷ 6 = 50.5
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The sum of three consecutive integers if the first is z
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The students in Robbie's grade voted for a class field trip. 80% of the students
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I Need to find the Function Operations​
Alinara [238K]

Answer:

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

2) (f-g)(x)=2x^2+x

3) (f \cdot g)(x)=2x^3-4x^2-9x+9

Step-by-step explanation:

So we have the two functions:

f(x)=2x^2+2x-3\text{ and } g(x)=x-3

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

(f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)

Combine like terms:

=(2x^2)+(2x+x)+(-3-3)

Add:

=2x^2+3x-6

So:

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

2)

(f-g)(x) is the same to f(x)-g(x). So:

(f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)

Distribute:

=(2x^2+2x-3)+(-x+3)

Combine like terms:

=(2x^2)+(2x-x)+(-3+3)

Simplify:

=2x^2+x

So:

(f-g)(x)=2x^2+x

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)

Distribute:

=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)

Distribute:

=(2x^3+2x^2-3x)+(-6x^2-6x+9)

Combine like terms:

=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)

Simplify:

=2x^3-4x^2-9x+9

So:

(f \cdot g)(x)=2x^3-4x^2-9x+9

4 0
3 years ago
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