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2 years ago

Solve the following system of equations using the elimination method. 4x + 2y = 12 4x + 8y = –24

Mathematics

1 answer:

Hunter-Best [27]2 years ago

4 0

Answer:

my answer for y is -6, x is -10

Step-by-step explanation:

just eliminate the -4s by subtracting them and you will get the value of y.

now you can use either eqn (I) or (ii) which are first and second.

anyone you decide to choose just replace y by the value you got and you will get the value of x.

pls try to do it buddy you can

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Members of the student concil are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a lo

Oksana_A [137]

Answer:

a) $y=8x-1000$

b) $profit=\$8$

c) They'd have lost $1000 if they had sold no calendars.

Step-by-step explanation:

a) The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.

Then, according to the exercise, the line passes through these two points:

$(80,-360)$ and $(200,600)$

Then, we can find the slope of the line with the formula $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-360-600}{80-200}=8$

Now, we can substitute the slope and one of those points into $y=mx+b$ and solve for "b":

$600=8(200)+b\\\\b=-1000$

Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:

$y=8x-1000$

b) The slope of the line is the profit they made from selling each calendar

$profit=8$

c) The y-intercept is the amount they would have lost if they had sold no calendars:

$b=-1000$

They'd have lost $1000 if they had sold no calendars.

6 0

3 years ago

What is the vertex form, f(x) = a(x - h)2-k, for a parabola that passes through the point (2,8) and has (1,0) as its

Novay_Z [31]

Answer:

Step-by-step explanation:

hello :

f(x) = a(x - h)²-k ....vertex form when the vertex is : (h,k)

h=1 and k=0 so : f(x) = a(x-1)²

a parabola that passes through the point (2,8) : f(2)=8

a(2-1)² =8

a= 8

f(x) = 8(x-1)²= 8(x²-2x+1)

f(x) 8x²-16x+8 .....standard form

3 0

3 years ago

The rate at which a plant grows is constant. At the 3rd week it is 12 inches tall and at the 5th week it is 20 inches tall. If t

Likurg_2 [28]

It would be (12,20) or (20,12) I don't know which one

5 0

3 years ago

If r(x) = 2x^2 – 5x + 1, find r(x + 2)

quester [9]

Step-by-step explanation:

1 Expand by distributing terms.

rx+r×2

2 Regroup terms.

rx+2r

3 0

3 years ago

Does the Commutative Property of Addition apply when you add two negative integers?

MAVERICK [17]

The commutative property of addition means we can add two integers in any order. So yes, It would still apply to two negative integers (for example, -2 + -3 and -3 + -2 both equal five)

4 0

3 years ago