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3 years ago

Set y= 22x+4 and y= 14x+28 equal and solve algebraically

Mathematics

1 answer:

Doss [256]3 years ago

3 0

Answer:

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign. In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other. The first step for this equation is to get the variable on one side and the constants on the other. Subtracting 14x from both sides: 22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28. Next, subtract the 4 from both sides to get: 8x +4 - 4 = 28 - 4 or 8x = 24. Lastly, divide both sides by 8 to get x = 3. To solve for y, simply plug 3 in for 'x' in either of the initial equations: y = (22)(3) + 4 = 70.

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Square the binomial (r+s). what is the result?

baherus [9]

Answer:

answer is b)

${(r + s)}^{2} = {r}^{2} + 2rs + {s}^{2}$

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2 years ago

Graph the system of equations. {8x+8y=642x−2y=−4

klemol [59]

The graph is attached.

Explanation:
We can use the x- and y-intercepts to graph. The x-intercept of the first equation is 8, and the y-intercept is 8. The x-intercept of the second equation is -2, and the y-intercept is 2.

x-intercepts are where the data crosses the x-axis. At every one of these points, the y-coordinate will be 0; therefore we can substitute 0 for y and solve to get the value of the x-intercept.

For the first equation, we would have
8x+8(0)=64
8x=64.

Divide both sides by 8:
8x/8 = 64/8
x=8.

For the second equation,
2x-2(0)=-4
2x=-4.

Divide both sides by 2:
2x/2 = -4/2
x=-2.

y-intercepts are where the data crosses the y-axis. At every one of these points, the x-coordinate will be 0; therefore we can substitute 0 for x and solve to get the value of the y-intercept.

For the first equation,
8(0)+8y=64
8y=64.

Divide both sides by 8:
8y/8 = 64/8
y=8.

For the second equation,
2(0)-2y=-4
-2y=-4.

Divide both sides by -2:
-2y/-2 = -4/-2
y=2.

Plot these points for both equations and connect them to draw the line.

6 0

3 years ago

What is the solution to the system of equations g(x)=-2x-3 f(x)=x+1-4

Ainat [17]

Answer: Not positive that this is right but here is what I got.

Step-by-step explanation:

Set up the composite result function.

g ( f )( x )

Evaluate g(f)(x) by substituting in the value f into g

(2x - 3) + 1

Add -3 and 1

g ( 2 x − 3 ) = 2 x − 2

4 0

3 years ago

Solve 2x2 + 12x − 14 = 0 by completing the square, options: A. 2(x + 6)2 = 26; x = −6 + square root 13, x = −6 − square root 13

musickatia [10]

I just solved this one
anothe way is undistribute the 2 first and move -14 to side
2(x^2+6x)-14=0
comlete the squer inside and add negative
2(x^2+6x+9-9)-14=0
factor perfect square
2((x+3)^2-9)-14=0
distribute
2(x+3)^2-18-14=0
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add 32 both sides
2(x+3)^2=32
divide 2
(x+3)^2=16
sqrt both sides
x+3=+/-4
minus 3
x=-4-3 or 4-3
x=1 or -7

answer is C

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