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Advocard [28]
3 years ago
14

Find the solution of this system of equations. 3x+7y=46 -3x-8y=50

Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

y=-86, x=216

Step-by-step explanation:

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Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of
lana [24]

Answer:

<em>The estimated sales were $260 million</em>

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

\displaystyle x_m=\frac{2008+2010}{2}=2009

\displaystyle y_m=\frac{240+280}{2}=260

The estimated sales were $260 million

5 0
3 years ago
Write the quadratic equation whose roots are 1 and -5, and whose leading coefficient is 3.
Anna35 [415]

Step-by-step explanation:

they're is a neat little trick.

but first of all, "roots" means the 0 solutions of the equation. like

ax² + bx + c = 0

there are 2 solutions for x to make the whole expression equal 0.

these are the "roots".

now to the little trick :

when is a multiplication resulting in 0 ?

when at least one of the factors is 0.

and any quadratic expression can be written as multiplication of 2 factors. like

c(x - a)(x - b) = cx² - cax - cbx + cab

what are the "roots" or 0 points ?

either

c = 0

x - a = 0 | x = a

x - b = 0 | x = b

the leading coefficient = 3.

that means nothing else than c = 3.

root = 1 means (x - 1) is one factor.

root = -5 means (x + 5) is the other factor.

so, we have

3(x - 1)(x + 5) = 3x² + 12x - 15

and the equation is

3x² + 12x - 15 = 0

or

3x² + 12x = 15

7 0
2 years ago
An annoyed teacher asked her student to do the following: (1) Start with the number 12. Go to step (2). (2) Take the negative of
dedylja [7]

Answer:

Step-by-step explanation:

//  12

// -12

//-11

//88

8 0
3 years ago
B. If Café Mocha charges $1.98 for each cup of coffee, how
dimaraw [331]

Answer:

Hi! I really love ur work and hope it goes well. I wanted to order a custom cake for my parents anniversary and it's there 18 years together happily ❤. I wanted a custom cake and the I want i

4 0
2 years ago
Two stores are having a sale on T-shirts.Rose spends $63 for three T-shirts from store A and one from store B. Manny spends $140
Digiron [165]
Let a and b be store A and store B, respectively. Then:
3a+b=63
5a+4b=140
So
12a+4b=252
5a+4b=140
7a=112
a=16
b=15
☺☺☺☺
7 0
3 years ago
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