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3 years ago

Amelia worked for 5 hours and 30 minutes. how should she write that on her time card?

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

5 hours and 30 minutes or 5.5 hours

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please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.

likoan [24]

ANSWER:

$\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4$

STEP-BY-STEP EXPLANATION:

We have the following equation:

$f(x)=\sqrt{x}-4$

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

$\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\ \\ \sqrt{f^{-1}(x)}=x+4 \\ \\ f^{-1}(x)=(x+4)^2 \end{gathered}$

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

$\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4$

4 0

5 months ago

Determine if the triangles, ΔSXC and ΔDXY, are similar. If so, identify the similarity criterion.

Lesechka [4]

THE ANSWER IS B SAS SIMILARITY

3 0

3 years ago

Read 2 more answers

What is 2/5 as a decimal

Natali5045456 [20]

Answer:

0.4

Step-by-step explanation:

2/5 = 4/10

5 0

3 years ago

Read 2 more answers

Detetmine the next two terms in the sequence.

iragen [17]

Detetmine the next two terms in the sequence.
3, 16, 29, 42,
21, 25, 29, 33,
1, 2, 3, 5, 8, 1,

Determine the missing number in each sequence.

5,____, 10, 12 1/2
11, 5, 9, 4,____, 5, 2
40, ____, 37 1/3, 36

4 0

2 years ago

A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?

KATRIN_1 [288]

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

$\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}$

so the ratio is 1:10

5 0

2 years ago