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1 year ago

If f(x) = 7x²-3 and g(x) = 5x, which expression is equivalent to [go f](2)?

1 answer:

3 0

An expression is defined as a set of numbers, variables, and mathematical operations. The correct expression is B.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to (f·g)(2) is,

f(x) = 7x²-3

g(x) = 5x

(g·f)(x) = g(f(x)) = 5(7x²-3)

= 5(7·2² - 3)

Hence, the correct expression is B.

Learn more about Expression:

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2 years ago

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Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbs

swat32

Answer:

<em>Riko is wrong because she uses the wrong formula.</em>

Step-by-step explanation:

Given the coordinate points (-2, -3) and (2, -5)

We are to find the distance between the two points

Using the formula:

D = √(x2-x1)²+(y2-y1)²

From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5

Substitute

D = √(2-(-2))²+(-5-(-3))²

D= √(4)²+(-2)²

D = √16 + 4

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D = √4*√5

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<em>This shows that Riko is wrong because she uses the wrong formula.</em>

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2 years ago

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Use the substitution method to solve the system of equations. <br> x+y=11<br> -x=-y-9

allochka39001 [22]

<h2>Answer:</h2>

Like you said, we need to use <u><em>substitution</em></u> to solve for y.

$x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10$

Now that we've solved for y, we can plug in the number we got into one of the <u><em>original</em></u> equations. (You can choose either equation, but I will use the first one.)

$x + 10 = 11\\\\x = 1$