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love history [14]
3 years ago
8

Which of the equations is a line whose slope is 3/4 and y-intercept is 6? 3x - 4y = -6 3x - 4y = 6 3x - 4y = -24

Mathematics
1 answer:
Brut [27]3 years ago
4 0
The answer is
3x-4y=-24

y=mx+b
-4y=-3x-24
y=(3/4)x+(-24/-4)
y=(3/4)x+6

slope m=3/4
y =6
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The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

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2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

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3 years ago
An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) fo
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Answer:

940

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The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).

Also the sales can be modeled by the help of a linear function as:

y = 0.94x + 12.5.

Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.

We know that for any linear function of the type:

y=mx+c

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Hence, by looking at the equation we get:

m=0.94

but as the sales are multiplied by 1000.

Hence,

0.94×1000=$ 940.

Hence, the company's sales increase per month is:

$ 940

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Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
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Answer:

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Step-by-step explanation:

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MaRussiya [10]
A = L^2
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