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Ilia_Sergeevich [38]
3 years ago
8

Y=4x+14 y=6x+8 solve the system

Mathematics
2 answers:
Lyrx [107]3 years ago
4 0

Answer:

Step-by-step explanation: if you are doing subtitution then

Let's solve your system by substitution.

y=4x+14 and y=6x+8

Rewrite equations:

y=4x+14;y=6x+8

Step: Solvey=4x+14for y:

y=4x+14

Step: Substitute4x+14foryiny=6x+8:

y=6x+8

4x+14=6x+8

4x+14+−6x=6x+8+−6x(Add -6x to both sides)

−2x+14=8

−2x+14+−14=8+−14(Add -14 to both sides)

−2x=−6−2x−2=−6−2

(Divide both sides by -2)

x=3

Step: Substitute3forxiny=4x+14:

y=4x+14

y=(4)(3)+14

y=26(Simplify both sides of the equation)

Answer:

x=3 and y=26

pshichka [43]3 years ago
3 0

Answer:

x = 3

y = 26

( 3, 26)

Step-by-step explanation:

y= 4x + 14

y=6x+8

You can use substitution

4x + 14 = 6x + 8

Subtract 8 on both sides

4x + 14 - 8 = 6x + 8 - 8

4x + 6 = 6x

Subtract 4x on both sides

4x - 4x + 6 = 6x - 4x

6 = 2x

Divide by 2 on both sides

6/2 = 2x/2

3 = x

Now that you have x you can use that to find y

y = 6x + 8

y = 6(3) + 8

y = 18 + 8

y = 26

x = 3

y = 26

( x, y )

( 3, 26 )

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The correct option is the last one.

Step-by-step explanation:

To transform the graph of y = x ^ 2 into y = -2(x - 2) ^ 2 + 2 the following steps are fulfilled:

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Let y = f (x-2) then y =(x-2) ^ 2 Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do y = -f(x) Then f (x) = -(x-2) ^ 2

3) Stretch according to factor 2.

For this we do y = 2f(x)

Then we have f(x) = -2 (x-2) ^ 2

4) Move up the graph in two units:

We do y = f(x) +2

Then y = -2(x-2) ^ 2 +2.

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0
3 years ago
What is the standard numeral for nineteen million,seven hundred thousand
ivolga24 [154]
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Math question: <br> I'm not good at math so pls help me
oksano4ka [1.4K]

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Step-by-step explanation:

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)
Inga [223]
  • Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: -4y=-3x+9

Next, divide both sides by -4 and your slope-intercept form of the original equation is y=\frac{3}{4}x-\frac{9}{4}

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

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<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

3 0
3 years ago
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One side of a rectangle is 3 m more than the other. If the perimeter of the rectangle is 30 m, what are its dimensions? *
uranmaximum [27]

Answer:

the length— 6

width— is 9

Step-by-step explanation:

you said One side— 3m MORE

so we will consider the length Number as X

we will consider width As three plus X

- You want to know the Perimeter. So we have to

add.

— so the expression is 3+3+x+x+x+x = 30

it is then simplified to 6+4x= 30

then we should be able to find out the X  which is 6

when we substitute the values with dimensions, you will get

your final Answer

I hope This Helped!

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