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2 years ago

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Which multiplication fact can help you find 24 divided 4?

1 answer:

tia_tia [17]2 years ago

5 0

The multiplication fact that can help you find 24 divided by 4 is 4 x 6.

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

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

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:

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

$Product = -14$

8 0

2 years ago

Plz help it due today and i will give brainliest.

tiny-mole [99]

It is B. You divide 10 by 25 and multiply it by 100

8 0

2 years ago

Read 2 more answers

In the U.S thirteen of twenty cans are recycled. What % of cans are recycled?

madam [21]

A percent is how many out of 100.

13/20 is how many out of 100?

You multiply the top and bottom by 5, as 5x20 is 100

13x5 is 65

Therefore, 65 out of every hundred cans, or 65%, are recycled

8 0

3 years ago

Tyler answered 26 of 40 test questions correctly. What percent did he answer correctly?

Keith_Richards [23]

Answer:

65%

Step-by-step explanation:

26/40

5 0

2 years ago

Read 2 more answers

Divide. (6.496×10−6)÷(2.8×105) Express your answer in scientific notation. Enter your answer in the boxes.

ss7ja [257]

we have been asked to perform $(6.496*10^{-6})\div (2.8*10^5)$

The given expression can be written as

$\frac{(6.496*10^{-6})}{2.8*10^5}$

Now it can be re-written as below

$=\frac {(6.496*10^{-6})}{2.8*10^5}=\frac{6.496}{2.8}*\frac{10^{-6}}{10^5}\\ \\ \text{Now using the exponent rule } \\ \\ \frac{a^m}{a^n}=a^{m-n}\\ \\ \text{we can re-write as below}\\ \\ \frac{6.496}{2.8}*\frac{10^{-6}}{10^5}= \frac{6.496}{2.8}*10^{-6-5}= \frac{6.496}{2.8}*10^{-11}\\ \\ \text{Now divide we get}\\ \\ =2.32*10^{-11}$

6 0

3 years ago