What is 5/24+7/24? I need help for 7th grade review!

1 answer:

3 0

When adding fractions, you only add the numerator if the denominators are the same.

In this case, the answer would be:
$\frac{5+7}{24}$ or $\frac{12}{24}$

Which when simplified is:
$\frac{1}{2}$

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What is the product 4^3* 4^-3

frozen [14]

Hey there! :D

Take care of the exponents.

4^3= 4*4*4

4^3= 64

4^-3

Make it a fraction to make the power positive.

$\frac{1}{4^3}$

Now, simplify.

$\frac{1}{64}$

64* 1/64= 1

The answer is 1.

I hope this helps!
~kaikers

3 0

3 years ago

Read 2 more answers

Inverse for h(x)=2x-4/3

seraphim [82]

Answer:

$y=\frac{x}{2}+\frac{2}{3}$

Step-by-step explanation:

The inverse function $f^{-1}$ of a function $f$ must meet that if $f(a)=b$ , then $f^{-1}(b)=a$ .
To find the inverse function one can clear out x from the initial equation, and once obtained an expression x=f(y), replace x by y, where y=f(x).
In this case, $y=h(x)=2x-\frac{4}{3}$ .
To find the inverse function, we clear out x, as follows: $y=2x-\frac{4}{3}$ ⇒ $y+\frac{4}{3} =2x$ ⇒ $x=\frac{y}{2}+\frac{2}{3}$ .
Now that we have clear out the value of x as a function of y, we just have to replace x by y: $y=\frac{x}{2}+\frac{2}{3}$ , which is the inverse function we have been looking for.

To corroborate the function is correct, we can use the fact that $f(a)=b$ , then $f^{-1}(b)=a$ . If we take x=1, in the first equation $f(1)=2-\frac{4}{3} = \frac{2}{3}$ . If now we replace b=2/3 in the inverse function we obtain $f^{-1}(\frac{2}{3})=\frac{\frac{2}{3} }{2} +\frac{2}{3} =1$