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Zigmanuir [339]

3 years ago

13

Write the equation in standard form using integers: y = -2/5x - 3

1 answer:

Ray Of Light [21]3 years ago

7 0

Let's assume you meant y = (-2/5)x - 3.

-2/5x could be misinterpreted.

First, clear out the fraction(s). To do this, mult. both sides of the above eq'n by 5.

Result: 5y= -2x - 15. Add 2x to both sides. The resulting equation is what you wanted: an equation in the form Ax + By = C (standard form).

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3 years ago

If a designer sold 2,000 units of a dress with total sales of $190,000, what was the average price of the garment?

Lostsunrise [7]

Answer:

$95

Step-by-step explanation:

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5 0

3 years ago

A) What is the equation of the line that passes through the given pair points in slope-intercept form?

lesya [120]

A)

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 5.1) and (-1, -0.5). Substitute:

$m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}$

Therefore we have:

$y=\dfrac{28}{15}x+b$

Put the coordinates of the point (-1, -0.5) ot the equation:

$-0.5=\dfrac{28}{15}(-1)+b$

$-0.5=-\dfrac{28}{15}+b$ <em>multiply both sides by 2</em>

$-1=-\dfrac{56}{15}+2b$ <em>add $\dfrac{56}{15}$ to both sides</em>

$\dfrac{41}{15}=2b$ <em>divide both sides by 2</em>

$b=\dfrac{41}{30}$

Answer: $\boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}$

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

$m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}$

Therefore we have:

$y=-\dfrac{7}{5}x+b$

Put the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{7}{5}(-2)+b$

$\dfrac{15}{5}=\dfrac{14}{5}+b$ <em>subtract $\dfrac{14}{5}$ from both sides</em>

$\dfrac{1}{5}=b\to b=\dfrac{1}{5}$

Answer: $\boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}$

7 0

4 years ago

Can someone help me this is urgent I really apressuare if someone did this at time please

Mariulka [41]

What's the question?

7 0

3 years ago

Solve for x and explain the steps:<br> 3x-6=4(2-3x)-8x

mote1985 [20]

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

$\frac{23x}{23}=\frac{14}{23}$ --> Divide both sides by 23

x = 14/23

7 0

2 years ago