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Aliun [14]
3 years ago
5

Which points are solutions??

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers. 

Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)

y < 4
-1 < 4 (TRUE)

x < 6 
1 < 6 (TRUE)

Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)

y < 4
2 < 4 (TRUE)

x < 6 
5 < 6 (TRUE)

Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)

y < 4
-2 < 4 (TRUE)

x < 6 
4 < 6 (TRUE)
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The line represented by 2y = x + 8 is dilated by a scale factor of k centered at the origin, such that the image of the line has
Mandarinka [93]

Answer:

k=\frac{1}{2}

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two lines are similar, then the lines are parallel

Lines parallel have the same slope

so

we have

Line A

2y=x+8

isolate the variable y

y=0.5x+4 ----> equation A

The slope of the line A is m=0.5

The y-intercept of the line A is b=4

Line B

y-\frac{1}{2}x=2

isolate the variable y

y=\frac{1}{2}x+2 ----> equation B

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The y-intercept of the line B is b=2

Remember that

The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B

so

4k=2

solve for k

k=\frac{1}{2}

4 0
3 years ago
Plssssss HELP ASAPPPPP
Anika [276]

Answer:

The formula for an exponential decay problem is: y = x (1 - r)^x

 

Where x = initial amount, r = rate of decay and x = # time periods

 

So, x = $258, r = 8% = .08 and x = 11 years

 

y = 258 (1 - 0.08)^11 = 258 (0.92)^11 = 258 * 0.3996 = $103.10

Step-by-step explanation:

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