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3 years ago

Help me pleaseeeeeeeeee

Mathematics

1 answer:

matrenka [14]3 years ago

5 0

The answer would be D. Because the solution is where the lines intersect.
They only intersect at the origin in D.

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Jade drinks 1/4 of a full bottle of water. An hour later she drinks 1/6 of the original volume. What fraction remains?

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She drinks 1/4th of the bottle and then another 1/6th of the bottle. So he drinks 3/12+2/12 of a bottle which is 5/12

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Julia is going for a walk through the neighborhood. What unit of measure is most appropriate to describe the distance she walks?

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Answer:

Possibly meters or feet/yards.

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Find the product of all real values of r for which 1/2x=r-x/7

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Answer:

$r = \±\sqrt{14$

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Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

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3 years ago

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What is the inverse of the function f(x) = 2x + 1?

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Step-by-step explanation:

Use an inverse function calculator

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