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3 years ago

For what value of X is the rational expression below equal to zero?

Mathematics

1 answer:

Sophie [7]3 years ago

5 0

Answer:

Option D, x = 1

Step-by-step explanation:

In order for that equation to equal to zero, you need the numerator (the top) to equal zero and the denominator (the bottom) to equal literally anything BUT ZERO.

To satisfy the first part we set the top binomial equal to zero.

x - 1 = 0

x = 0 + 1

x = 1

Plug in x = 1 to the bottom to see if it satisfies to second part; we're looking for everything but zero.

(x - 3)(x + 1)

(1 - 3)(1 + 1)

(- 2)(2) = - 4

Your answer is x = 1, option D.

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A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What

andre [41]

Answer:

Step-by-step explanation:

Dimensions of the rectangular park = 4 inches by 6 inches

Since scale factor = $\frac{\text{Dimensions of the park on map}}{\text{Dimensions of the original park}}$ = $\frac{1}{30}$

$\frac{4}{\text{Length of the original park}}=\frac{1}{30}$

Length of the original park = 120 miles

Similarly, width of the park = 180 miles

Area of the park = Length × Width

= 120 × 180

= 21600 square miles

Therefore, area of the original park is 21600 square miles.

Formula for the ratio of area of the park on map and original park is,

$\frac{\text{Area of the park on map}}{\text{Area of the original park}}=(\text{Scale factor})^2$

$\frac{6}{21600}=(\text{Scale factor})^2$

Scale factor = $\sqrt{\frac{1}{3600}}$

= $\frac{1}{60}$

Scale factor to reproduce the map so that it fits in the brochure will be 1 inch for every 60 miles.

5 0

4 years ago

Which equation below would result in the highest earnings, y, when the number of hours worked, x, is 20?

BartSMP [9]

Answer:

(B)

Step-by-step explanation:

(A)The given equation is:

$y=2x^2$

Substituting the value of x=20, we get

$y=2(20)^2$

$y=2(400)$

$y=800$

(B) The given equation is:

$y=2^x$

Substituting the value of x=20, we get

$y=2^{20}$

$y=1048576$

$y=2x+2$

Substituting the value of x=20, we get

$y=2(20)+2$

$y=42$

(D) The given equation is:

$y=|2x|$

Substituting the value of x=20, we get

$y=|2(20)|$

$y=40$

Thus, the equation $y=2^x$ results in the highest earning y.

6 0

3 years ago

Are these ratios equivalent 3/7, 18/42

galina1969 [7]

Yes, the two ratios are equivalent. If you multiply both the numerator and the denominator by 6, you will get 18/42.

3 0

3 years ago

Read 2 more answers

A fair six-sided die is rolled 72 times. Theoretically, about how many times should a roll of "4" occur?

Fynjy0 [20]

Answer:

OB. 12

Step-by-step explanation:

Since the die is a fair six-sided die and the question uses should... we know that a roll of "4" has a 1/6 chance to land every time the die is rolled.

1. 72 rolls * 1/6 chance to roll a 4 = 12 times

7 0

3 years ago

Divide the polynomial 4a^6-5a^4+3a^2-a divided by 2a-1

amm1812

Using synthetic division with a divisor zero value of 1/2, you get quotient coefficients of 4, 2, -4, -2, 2, 0. Dividing those by 2 (the coefficient of "a" in the given denominator), we get a quotient of

... 2x⁵ +x⁴ -2x³ -x² +x

You will get the same result using long division.

8 0

3 years ago