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3 years ago

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

1 answer:

8 0

$f(x)=-4x+7\\
g(x)=10x-6\\\\\Substitute\ x=10x-6\ to\ f(x)\\
f(g(x))=-4(10x-6)+7\\
f(g(x))=-40x+24+7=-40x+31\\\\\
Solution\ is\ f(g(x))=-40x+31.$

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Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).

grandymaker [24]

Answer:

Option (B)

Step-by-step explanation:

In the figure attached,

A straight line is passing through two points (0, 2) and (3, 1).

Slope of this line ( $m_1$ ) = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{2-1}{0-3}$

= $-\frac{1}{3}$

Let the slope of a parallel to the line given in the graph = $m_2$

By the property of parallel lines,

$m_1=m_2$

$m_2=-\frac{1}{3}$

Equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the parallel line which passes through (-3, 0) and having slope = $-\frac{1}{3}$ will be,

$y-0=-\frac{1}{3}(x+3)$

$y=-\frac{1}{3}x-1$

Option (B). will be the answer.

5 0

3 years ago

X over 15 = 10 over 20

den301095 [7]

X/15 = 10/20
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x = 150/20
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8 0

2 years ago

Look at the figure which step should be taken next to construct a line parallel to AB

FinnZ [79.3K]

My answer is the 2nd option.

Without changing the compass setting from the previous step, place the compass on point P. Draw an arc similar to the one already drawn.

Parallel lines are lines that do not meet. In this figure, point P is the point where the 2nd line can be drawn and become parallel to line AB.

8 0

3 years ago

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is

andriy [413]

Answer:0.2

Step-by-step explanation:

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3 years ago

Use the following problem to answer the question below:

Rom4ik [11]

Answer:

m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles

Step-by-step explanation:

∵ m∠ABE = m∠CBD

∵ m∠ABD = m∠ABD + m∠DBE

∵ m∠CBD = m∠CBE + m∠EBD

∵ ∠EBD is common angle between them

∴ m∠ABD = m∠CBE

6 0

3 years ago