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kiruha [24]
3 years ago
7

1 3/4 + 1 + y = 4 1/3 what does the ‘y’ represent?

Mathematics
2 answers:
castortr0y [4]3 years ago
3 0
The answer is y=1 12/17
iris [78.8K]3 years ago
3 0

Answer:

1 \frac{3}{4}  + 1 + y = 4 \frac{1}{3}  \\  \frac{7}{4}  +  \frac{1}{1} +  y =  \frac{13}{3}  \\  \frac{7}{4}  \frac{ \times }{ \times }  \frac{3}{3}  +  \frac{1}{1}  \frac{ \times }{ \times } \frac{12}{12}   + y =  \frac{13}{3}   \frac{ \times }{ \times }  \frac{4}{4} \\  \frac{21}{12}  +  \frac{12}{12}  + y =  \frac{52}{12}  \\  \frac{33}{12}  + y =  \frac{52}{12}  \\  y =  \frac{52}{12}  -  \frac{33}{12}  \\ y =  \frac{19}{12}  \\  \:  \:  \:  \:  = 1 \frac{7}{12}

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The question is:
saul85 [17]
f(x) = \sqrt{x+1} \\ y = \sqrt{x+1} \ or \ y^2 = x+1 \ or \ x = y^2 - 1 \\ Therefore, \ f^{-1}(x)=x^2 - 1

(fof^{-1})(a) = f(f^{-1}(a))=f(a^2-1) \\ =\sqrt{a^2-1+1}=\sqrt{a^2}=a \\  \\ (f^{-1}of)(a)=f^{-1}(f(a))=f^{-1}(\sqrt{a+1})= \\ (\sqrt{a+1})^2-1 = a+1-1 = a

Therefore, (fof^{-1})(a) = (f^{-1}of)(a) = a

8 0
3 years ago
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c
Marat540 [252]

Answer:After choosing the color she still has the choices of brands and style so:

Tahari has 4*3=12 options left.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?
BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:  

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}

Where n = 8 and r = 0,1....8

When r = 0

\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1

When r = 1

\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8

When r = 2

\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8

When r = 3

\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56

When r = 4

\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70

When r = 5

\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56

When r = 6

\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28

When r = 7

\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8

When r = 8

\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

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3 years ago
When Anita planted a large bush in her garden, it was 5 feet tall. Now it is 40% taller. How tall is the bush now?
goblinko [34]

Answer:

7 feet

Step-by-step explanation:

the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40

1.40 x 5 = 7 feet

Method 2

find 40% of 5 feet

0.4 x 5 = 2

Add 5 + 2 = 7 feet

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Whats the key way to resolve reading math problems
Lady bird [3.3K]
I would say read it well and then write down an equation or expression to represent the data so its easier for you to understand and/or solve.
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3 years ago
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