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3 years ago

Which table shows a proportional relationship between x and y?

Mathematics

1 answer:

kvasek [131]3 years ago

6 0

Answer:

the third table listed here

Step-by-step explanation:

A "proportional" relationship has the same y/x ratio for all values of x and y.

... first table: all entries but one have y/x = 1/3. The 3rd entry has y/x = 0.4—not the same.

... second table: 6/4 ≠ 8/6

... third table: all entries reduce to y/x = 15

... fourth table: 3/2 ≠ 4/3

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Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

3 years ago

A pen costs twice as much as a pencil. The total cost of 1 pen and 1 pencil is $2.10. If p represents the cost of 1 pencil, whic

oksano4ka [1.4K]

Answer:

A:2p+p=10

Step-by-step explanation:

3 0

3 years ago

Convert 26 centimeters per second to METERS PER MINUTE

sineoko [7]

Answer:

15.6 meters/minute

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Need the answer for my hw

andrew-mc [135]

The answer is (1,1)

5 0

3 years ago

(04.01)

otez555 [7]

Answer:

A function can be any set of points where one input is equal to one output. You cannot have two X values with the same Y value, for example.

<u>I believe the answer is neither</u> because in both sets you can see they have different Y values for the X values 2 and 9.

6 0

3 years ago