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notsponge [240]
3 years ago
13

Given f(x) = 7x - 4 and g(x) = -3x + 2, find (f+g)(x)​

Mathematics
2 answers:
zalisa [80]3 years ago
5 0

Answer:

<h2>(f+g)(x) = 4x - 2</h2>

Step-by-step explanation:

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x) add g(x) to f(x)

That's

<h3>(f+g)(x) = 7x - 4 +  (- 3x + 2) \\  = 7x - 4 - 3x + 2 \\  = 7x - 3x -  4 + 2</h3>

We have the final answer as

<h3>(f+g)(x) = 4x - 2</h3>

Hope this helps you

Hatshy [7]3 years ago
4 0

Answer:

\Large \boxed{(f + g)(x) = 4x - 2}

Step-by-step explanation:

We have two functions.

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x), we have to find the sum of f(x) and g(x).

(f+g)(x) = f(x) + g(x)

(f + g)(x) = 7x - 4 + -3x + 2

Combining like terms.

(f+g)(x) = 7x - 3x - 4 + 2

(f + g)(x) = 4x - 2

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Y-6=4(x+5) what are the Y and X intercept
Misha Larkins [42]
Hello.

<span>Reorder the terms: -6 + y = 4(x + 5)

  Reorder the terms: -6 + y = 4(5 + x) -6 + y = (5 * 4 + x * 4) -6 + y = (20 + 4x)

  Solving -6 + y = 20 + 4x Solving for variable 'y'.

 Move all terms containing y to the left, all other terms to the right.

 Add '6' to each side of the equation. -6 + 6 + y = 20 + 6 + 4x

 Combine like terms: -6 + 6 = 0 0 + y = 20 + 6 + 4x y = 20 + 6 + 4x

 Combine like terms: 20 + 6 = 26 y = 26 + 4x

 Simplifying y = 26 + 4x


</span>x-intercept: <span><span>(−<span>132</span>,0)</span><span>(-<span>132</span>,0)</span></span>y-intercept: <span>(0,26<span>)

Have a nice day</span></span>
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3 years ago
Expand and simplify (2x−12) ^2
lubasha [3.4K]

Answer:

\boxed{4x^{2}  - 48x + 144}

Step-by-step explanation:

Given expression:

  • (2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\rightarrowtail (2x - 12)^{2}

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \  [\small\text{First term = a = 2x; Second term = b = 12]}

Now, simplify the expression.

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}

\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)

\rightarrowtail \boxed{4x^{2}  - 48x + 144}

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Answer:

186

Step-by-step explanation:

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So 90 - (40*3) right ?
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