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alex41 [277]
3 years ago
7

Which of the given expressions results in 0 when evaluated at x = 5? A. 5x(x − 7) B. (x − 8)(x − 5) C. (x + 7)(x − 2) D. (x + 5)

(x − 8)
Mathematics
2 answers:
Luda [366]3 years ago
6 0
The answer is B. My reasoning is because x is equal to 5 and the expression in the first set of parenthesis equals (-3) and the expression in the second set of parenthesis equals (0). Now when you get those expressions simplified, you multiply them together. Making it equal to 0. I hope this helps you understand. Use PEMDAS if you can recall what that is from school.
SSSSS [86.1K]3 years ago
3 0

Answer:

B. (x - 8)(x - 5)

Step-by-step explanation:

If you plugged in x = 5 into the 2nd equation, you would see that you would be multiplying by 0, which would turn everything zero.

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Please help<br><br> In which table does y vary directly with x?
grigory [225]

Answer:

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

<em>Table A</em>

For x=1, y=3

Find the value of k

k=y/x -----> k=3/1=3

For x=2, y=9

Find the value of k

k=y/x -----> k=9/2=4.5

the values of k are different

therefore

The table A not represent a direct variation

<em>Table B</em>

For x=1, y=-5

Find the value of k

k=y/x -----> k=-5/1=-5

For x=2, y=5

Find the value of k

k=y/x -----> k=5/2=2.5

the values of k are different

therefore

The table B not represent a direct variation

<em>Table C</em>

For x=1, y=-18

Find the value of k

k=y/x -----> k=-18/1=-18

For x=2, y=-9

Find the value of k

k=y/x -----> k=-9/2=-4.5

the values of k are different

therefore

The table A not represent a direct variation

<em>Table D</em>

For x=1, y=4

Find the value of k

k=y/x -----> k=4/1=4

For x=2, y=8

Find the value of k

k=y/x -----> k=8/2=4

For x=3, y=12

Find the value of k

k=y/x -----> k=12/3=4

All the values of k are equal

therefore

The table D represent a direct variation or proportional relationship

The linear equation is y=4x

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