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3 years ago

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Brainlest Subtract the linear expressions. (4/5x - 5) - (1/3x+4) What is the difference? Enter your answer in the box. Enter fra

ctions as simplified fractions.

2 answers:

jekas [21]3 years ago

8 0

Answer:

Step-by-step explanation:

$\left( \dfrac{4}{5}x-5 \right) - \left(\dfrac{1}{3}x+4 \right) = \dfrac{4}{5}x-5-\dfrac{1}{3}x-4\\\\LCM \ of \ 3 \ and \ 5 \ = \ 15\\\\=\dfrac{4*3}{5*3}x - \dfrac{1*5}{3*5}x -9\\\\\\=\dfrac{12}{15}x-\dfrac{5}{12}x-9\\\\=\dfrac{7}{15}x-9$

belka [17]3 years ago

5 0

Answer:

7/15x - 9

Step-by-step explanation:

(4/5x - 5) - (1/3x + 4)

remove the parentheses

4/5x - 5 - 1/3x - 4

simplify each variable

4/5x - 9 - 1/3x

7/15x - 9

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Monica [59]

Question 1:

The generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
$y = \frac{2}3}x + 9
$
Answer:
an equation for the line with slope 2/3 and y-intercept is:
$y = \frac{2}3}x + 9$

Question 2:

The standard equation of the line is given by:
$y-yo = m (x-xo)
$
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
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$m = \frac{y2-y1}{x2-x1}$
Substituting values:
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$m = \frac{1+3}{3-1}$
$m = \frac{4}{2}$
$m = 2
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We choose an ordered pair:
$(xo, yo) = (3, 1)
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$y-1 = 2 (x-3)
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Rewriting:
$y = 2x - 6 + 1

y = 2x - 5$
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
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Question 3:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
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k: constant of variation.
We then have the following equation:
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$y = -2x
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$k = -2
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Answer:
the constant of variation is:
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Question 4:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
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k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
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$24 = k8
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$k = \frac{24}{8} 
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$k = 3
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Therefore, the equation is:
$y = 3x
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$y = 3 (10)

y = 30$ Answer:
the value of y when x = 10 is:
$y = 30$

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