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alisha [4.7K]
3 years ago
9

The area of a parallelogram is 24 square meters. Find the height if the length of the base is 6 meters. Enter the measurement no

t the unit.
Mathematics
1 answer:
san4es73 [151]3 years ago
4 0
The height is 4 meters.
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Given that f(x) = x + 3<br> a) Find f(2)
Nataly_w [17]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

In the above question, it is given that :

\qquad \sf  \boxed{ \sf f(x) =  \frac{x + 3}{2} }

A.) Find f(2) :

\qquad \sf  \dashrightarrow \: f(2) =  \dfrac{2 + 3}{2}

\qquad \sf  \dashrightarrow \: f(2) =  \dfrac{5}{2}

or

\qquad \sf  \dashrightarrow \: f(2) = 0.5

B.) Find { \sf {f}^{-1}(x) } :

\qquad \sf  \dashrightarrow \: let \: y = f (x)

so, we can write it as :

\qquad \sf  \dashrightarrow \: y =  \dfrac{x + 3}{2}

\qquad \sf  \dashrightarrow \: 2y = x + 3

\qquad \sf  \dashrightarrow \: x = 2y - 3

Now, put x = { \sf {f}^{-1}(x) }, and y = x and we will get our required inverse function ~

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3

C.) Find { \sf {f}^{-1}(12) } :

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 36- 3

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 33

7 0
1 year ago
The mean age of 9 women in an office is 27 years old.
Veronika [31]

26 to nearest year

We require the total of the sums of ages for both groups before calculating the mean for all 16

using mean = \frac{sum}{count}

Women

27 = \frac{sum }{9} ( cross- multiply )

sum = 9 × 27 = 243

Men

25 = \frac{sum}{7} ( cross- multiply )

sum = 7 × 25 = 175

Total sum of all 16 = 243 + 175 = 418

mean = \frac{418}{16} = 26 ( to nearest year )


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3 years ago
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Add like terms: -3x - (-7x)
olga nikolaevna [1]

Answer:

-3x + 7x = 4x

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THE NUMBER THAT IS 7 MORE THAN THE NUMBER N
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N+7
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Find a solution to the following system of equations.
Nina [5.8K]

Answer:

A. \displaystyle (2, 5)

Step-by-step explanation:

Plugging these coordinates into the system of equations will give you these genuine statements:

\displaystyle -10 + 5 = -5 \\ -8 + 10 = 2☑

I am joyous to assist you anytime.

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