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Snezhnost [94]
2 years ago
14

F(x) = -3x^2 -5 g(x) = 2x -5 Find f(2) x g(6)

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
5 0
F(2)= -3(2)^2-5= -3(4)-5= -12-5=-17
g(6)= 2(6)-5= 12-5=7

-17 x 7= -119 is the answer
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Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i
rewona [7]

Answer:

slope = \frac{3}{7} and - \frac{7}{3}, perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = \frac{3}{7} x + 11 is in this form with m = \frac{3}{7}

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - \frac{7}{3} x + \frac{13}{3} ← in slope- intercept form

with m = - \frac{7}{3}

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

\frac{3}{7} × - \frac{7}{3} = - 1

Hence lines are perpendicular



6 0
2 years ago
Express your answer as a polynomial in standard form
Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3><u>Definitions:</u></h3>
  • The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
  • In the <u>composition of function</u><em> f  </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f  </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3><u>Solution:</u></h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2)  + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8  + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.

8 0
2 years ago
Help me please and thanks
Arturiano [62]

This is the answer its easy just simplify the inequality

3 0
3 years ago
What is the value of f(-4)?
Ghella [55]

Given is a piecewise function which follows different expressions according the the value of input x.

Given f(x)=\left \{ {{-10, \;if \;x2} } \right.

It says to find f(-4) i.e. the value of function f(x) at x = -4.

At point x = -4, f(x) is x³, if -5 ≤ x ≤ 2.

So, f(-4) = (-4)³

f(-4) = -4 × -4 × -4

f(-4) = -64.

Hence, option A is correct i.e. -64.

4 0
3 years ago
An automobile repair facility recently purchased a 200- foot roll of flexible plastic tubing for $49.06 compute the cost in cent
zmey [24]
$49.06 x 100 = 4906 cents
4906/200= 24.53 = approx. 25 cents
6 0
2 years ago
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