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Nezavi [6.7K]
3 years ago
14

Write an equation for the translation of y = |x|.

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

Answer:

y = |x + 6|

Step-by-step explanation:

You can check by graphing y = |x + 6|

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Ryan works at at the donut shop where he makes $10.25 per hour . He also works part time at the school bookstore where he makes
SCORPION-xisa [38]

Answer:

6 hours

Step-by-step explanation:

Let

x----> the number of hours worked at the donut shop

y----> the number of hours worked at the school bookstore

we know that

x+y=20

x=20-y -----> equation A

10.25x+8.75y=196 -----> equation B

Substitute equation A in equation B and solve for y

10.25(20-y)+8.75y=196

205-10.25y+8.75y=196

10.25y-8.75y=205-196

1.5y=9

y=6 hours at the school bookstore

7 0
3 years ago
Complete the point-slope equation of the line through (2,3) and (7,4) <br> y-4=
Anna71 [15]

Answer:

y - 4 = \frac{1}{5}(x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (7, 4)

m = \frac{4-3}{7-2} = \frac{1}{5}

Use either of the 2 points for (a, b)

Using (7, 4), then

y - 4 = \frac{1}{5}(x - 7) ← in point- slope form

4 0
3 years ago
Solve for x <br> -2^2(-5x+10)=100
masha68 [24]

Answer:

x=7

Step-by-step explanation:

Hi there!

-2^2(-5x+10)=100

Solve -2^2:

-4(-5x+10)=100

Divide both sides by -4:

\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25

Subtract 10 from both sides:

-5x+10-10=-25-10\\-5x=-35

Divide both sides by -5:

\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7

Therefore, x = 7.

I hope this helps!

3 0
3 years ago
Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. Whic
Salsk061 [2.6K]

Answer:

Not possible scores: 6, 15, 23, 31 and 58.

Step-by-step explanation:

We have been given that Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. We are asked to choose the total scores that can be quickly identified as "not possible".

Given scores: 38, 23, 58, 30, 42, 31, 26, 6, 14, or 15.

Since the maximum score is 10 and number of hits are 5, therefore, the maximum score can be hitting 10 each of the 5 times.

10\times 5=50

Since the maximum score is 50, therefore, 58 is an impossible score.

Since the minimum score is 2 and number of hits are 5, therefore, the minimum score can be hitting 2 each of the 5 times.

2\times 5=10

Since the minimum score is 10, therefore, 6 is an impossible score.

Since all scores on board are even, so the sum of 5 hits must be even, therefore, odd numbers like 15, 23, 31 are not possible scores.  

5 0
3 years ago
Graph the following system <br> X+y=4<br> X-y=2
Lapatulllka [165]
Points that are given on x+y=4 are (0,4),(3,1) and (4,0) and points that are give for x-y=2 are (0,-2),(2,0) and (3,1)

3 0
3 years ago
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