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miv72 [106K]
3 years ago
15

Problems due Monday.

Mathematics
2 answers:
Ilya [14]3 years ago
8 0
11) x = 6
12) x = 7/4
Leya [2.2K]3 years ago
5 0
11. 2<span><span><span>+6x</span>+4</span>=<span>3x+12</span></span>Step 1: Simplify both sides of the equation.<span><span><span>2+6x</span>+4</span>=<span>3x+12</span></span><span><span><span>(6x)</span>+<span>(2+4)</span></span>=<span>3x+12</span></span>(Combine Like Terms)<span><span>6x+6</span>=<span>3x+12</span></span><span><span>6x+6</span>=<span>3x+12</span></span>Step 2: Subtract 3x from both sides.<span><span><span>6x+6</span>−3x</span>=<span><span>3x+12</span>−3x</span></span><span><span>3x+6</span>=12</span>Step 3: Subtract 6 from both sides.<span><span><span>3x+6</span>−6</span>=12−6</span><span>3x=6</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=63</span>x=2Answer:x=212.−<span><span><span>5+<span>8x</span></span>+2</span>=<span><span>4x</span>+4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>−5</span>+<span>8x</span></span>+2</span>=<span><span>4x</span>+4</span></span><span><span><span>(<span>8x</span>)</span>+<span>(<span><span>−5</span>+2</span>)</span></span>=<span><span>4x</span>+4</span></span>(Combine Like Terms)<span><span><span>8x</span>+<span>−3</span></span>=<span><span>4x</span>+4</span></span><span><span><span>8x</span>−3</span>=<span><span>4x</span>+4</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>8x</span>−3</span>−<span>4x</span></span>=<span><span><span>4x</span>+4</span>−<span>4x</span></span></span><span><span><span>4x</span>−3</span>=4</span>Step 3: Add 3 to both sides.<span><span><span><span>4x</span>−3</span>+3</span>=<span>4+3</span></span><span><span>4x</span>=7</span>Step 4: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>7/4</span></span><span>x=<span>7/4</span></span>Answer:<span>x=<span>7/4</span></span>
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If ​f(x)equals 2xminus5 and ​j(x)equals ​f(x)plus3​, write the equation for​ j(x).
yanalaym [24]
F(x)=2x-5
j(x)=f(x)+3=2x-5+3=2x-2

j(x)=2x-2
8 0
3 years ago
One endpoint of a line segment is (-6,4) the midpoint(-2,7) (What are the coordinates of the other endpoint? PLEASE HELP !!
mina [271]
A.) (2, 10), add -6 to -2 to give you 4 units. Then add 4 to the midpoint(-2, and 7), and you end up with 2 and 3. Then just add 3 to seven and you have the coordinates of (2, 10), hope this helps!
3 0
3 years ago
A new car has a sticker price of $25,550, while the invoice price paid on it was $19.990 What is the percent amount of markup?
kupik [55]

Answer:

21.7%

Step-by-step explanation:

(25,550-19,990) / 25,550 = 5,560/25,550 = 0.217612524462 or  21.7% increase

6 0
3 years ago
Read 2 more answers
Ava wants to draw a parallelogram on the coordinate plane. She
wolverine [178]

Answer:

k =(2,1)

JK = 2

Step-by-step explanation:

Given

J = (0,1) ---- (x_1,y_1)

H = (1,-2) --- (x_2,y_2)

I = (3,-2) --- (x_3,y_3)

See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

\frac{1}{2}(I + J) = \frac{1}{2}(H+K)

\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)

\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)

\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)

Multiply through by 2

(3,-1) = (1+x,-2+y)

By comparison:

1 + x = 3

-2 + y = -1

Solve for x and y

x = 3 - 1 =2

y = -1 +2 = 1

So, the coordinates of k is:

k =(2,1)

The length of JK is calculated using distance (d) formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

J = (0,1) ---- (x_1,y_1)

k =(2,1) ---- (x_2,y_2)

So:

d = \sqrt{(0 - 2)^2 + (1 - 1)^2

d = \sqrt{(- 2)^2 + (0)^2

d = \sqrt{4 + 0

d = \sqrt{4

d = 2

Hence:

JK = 2

8 0
3 years ago
Combine like terms.<br> 34y + 23y =
Thepotemich [5.8K]

Answer:

57y

Step-by-step explanation:

23y+34y = 57y

7 0
3 years ago
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