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2 years ago

X°+(x+30)=180°I need answer

Mathematics

1 answer:

djyliett [7]2 years ago

7 0

Answer:

210 + -1x

Step-by-step explanation:

Simplifying

X + (x + -30) = 180

Reorder the terms:

X + (-30 + x) = 180

Remove parenthesis around (-30 + x)

X + -30 + x = 180

Reorder the terms:

-30 + X + x = 180

Solving

-30 + X + x = 180

Solving for variable 'X'.

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

Add '30' to each side of the equation.

-30 + X + 30 + x = 180 + 30

Reorder the terms:

-30 + 30 + X + x = 180 + 30

Combine like terms: -30 + 30 = 0

0 + X + x = 180 + 30

X + x = 180 + 30

Combine like terms: 180 + 30 = 210

X + x = 210

Add '-1x' to each side of the equation.

X + x + -1x = 210 + -1x

Combine like terms: x + -1x = 0

X + 0 = 210 + -1x

X = 210 + -1x

Simplifying

X = 210 + -1x

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If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?

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Answer:

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

g(x) = 5x +4

g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

Now that we know g(-2) = -6, we know this expression is ...

f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

(f∘g)(-2) = 68