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xenn [34]
3 years ago
9

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

Mathematics
1 answer:
Ratling [72]3 years ago
5 0

Answer:

{f}^{ - 1} (f(93)) = 93

f(f(7)) =  - 15

Step-by-step explanation:

A function and its inverse has the following properties

{f}^{ - 1} (f(x)) = x

This implies that;

{f}^{ - 1} (f(93)) = 93

From the table,

f(7) =  - 6

This means that:

f(f(7)) = f( - 6)

f(f(7)) =  - 15

Note that: f(7) means the value of f(x) when x=7.

From the table f(x)=-6 when x=7.

That is why f(7)=-6.

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A total of 754 tickets were sold for the school play. They were either adult tickets or student tickets. There were 54 more stud
inn [45]
Answer: 350

Explanation:

a = adult tickets
s = student tickets

║ a + s = 754
║s = a + 54

Plug s = a + 54 into a + s = 754

a + (a + 54) = 754

a + a + 54 = 754

2a + 54 = 754

2a = 754 - 54 

2a = 700

a = 350
3 0
3 years ago
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To make meatloaf. mix 2 pounds of beef and 0.5 of a cup of breadcrumbs. How many pounds of beef
yawa3891 [41]

Answer:

18 pounds of beef.

Step-by-step explanation:

For every 0.5 cups of breadcrumbs there's 2 pounds of beef.

0.5 x 9 = 4.5

9 x 2 = 18 or 2 x 9 = 18

multiples of two: 2 4 6 8 10 12 14 16 18

This shows that when we multiply 2 nine times we get 18!

6 0
3 years ago
Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie
vlada-n [284]

Recall the double/half angle formulas:

\cos^2\dfrac x2=\dfrac{1+\cos x}2

\sin^2\dfrac x2=\dfrac{1-\cos x}2

We're given \sin u=\frac{24}{25}, and since u is between π/2 and π, we expect \cos u to be negative. So from the Pythagorean identity, we find

\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}

Also, we know \frac u2 will fall between π/4 and π/2, so both \sin\frac u2 and \cos\frac u2 will be positive. Then we find

\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35

\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45

and it follows that

\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43

8 0
4 years ago
Matt measures 3 pieces of string. The first piece is 544 cm. The second piece is 144 cm, and the third piece is 112 cm. How many
xxMikexx [17]
544 cm + 144 cm + 112 cm = 800 cm = 8m
6 0
3 years ago
Read 2 more answers
What is 0.25% of K2 000?
goldfiish [28.3K]

\huge\text{Hey there!}

\large\text{When you hear/see the word of  in mathematics, it usually means }\\\large\text{\bf multiplication. }

\large\text{So, when you  think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }

\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}

\large\textsf{0.25\% of 2,000}

\large\textsf{= 0.25\%} \times \large\textsf{2,000}

\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}

\mathsf{= \dfrac{25}{100} \times 2,000}

\mathsf{\dfrac{25}{100}= \bf 0.0025}

\large\textsf{= 0.0025} \times \large\textsf{2,000}

\large\text{= \bf 5}

\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

7 0
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