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3 years ago

8

If h(x) = 4x - 8 and j(x) = -x, solve hlj(3)] and select the correct answer below.

1 answer:

AveGali [126]3 years ago

8 0

The answer is 1

You just put the 3 where there is X and then you solve it after that you add the two equations together

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Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

Ludmilka [50]

Answer:

The line with the x- and y-intercepts below has the following equation:

$f(x) = \frac{5x}{7} - 5$

Step-by-step explanation:

The equation of the line has the following format:

$f(x) = ax + b$

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when $x = 0, y = f(x) = -5$ , so:

$f(x) = ax + b$

$-5 = a(0) + b$

$b = -5$

For now, the line has the following equation:

$f(x) = ax - 5$

x-intercept 7

This means that when $y = f(x) = 0,x = 7$ , so:

$f(x) = ax - 5$

$0 = 7(a) - 5$

$7a = 5$

$a = \frac{5}{7}$

So, the line with the x- and y-intercepts below has the following equation:

$f(x) = \frac{5x}{7} - 5$

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sammy [17]

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sattari [20]

Answer:

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

parallel lines have the same slopes , perpendicular lines have slope which are opposite reciprocals.

~~~~~~~~~~~~~~~

A( 3 , 5 )

B( - 2 , 7 )

$m_{AB}$ = $\frac{7-5}{-2-3}$ = - $\frac{2}{5}$

C( 10 , 5 )

D( 6 , 15 )

$m_{CD}$ = $\frac{15-5}{6-10}$ = - $\frac{5}{2}$

The answer is (A) Neither

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2 years ago

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Softa [21]

Answer:

the first one

Step-by-step explanation:

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3 years ago