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2 years ago

Which pair of functions are inverses of each other?

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

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What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

Elanso [62]

Answer:

The volume of a rectangular prism is $28\frac{7}{8}\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

$V=BHL$

Convert the given dimensions to an improper fractions

$B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm$

$H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm$

$L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm$

substitute in the formula

$V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}$

Convert to mixed number

$\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}$

5 0

3 years ago

Which of the following values of x will result in a true statement when

vodka [1.7K]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

-3(x-2)=9 Equation/Question

Step 2

-3(x-2)=9 Remove parenthesis

3x+6=9

Step 3

3x+6=9 Add -6

-3x=3

Step 4

−3x=3 Divide

answer

x=-1

Hope this helps

5 0

2 years ago

What is the slope of the line with equation y-3=-1/2(x-2)?

ludmilkaskok [199]

Answer:

slope = - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - $\frac{1}{2}$ (x - 2) ← is in point- slope form

with slope m = - $\frac{1}{2}$

6 0

3 years ago

Half way point between 1224 and 1000

RSB [31]

You will make 1224-1000=224
then you will divide 224 by two it will be 112
you will add 112 to the less one
112+1000=1112

7 0

3 years ago

Read 2 more answers

Determine whether quantities vary directly or inversely and find the constant of variation. If 5 bushels of wheat weigh 136 kg,

pentagon [3]

Let the bushels of wheat is b and weight of the wheat is w.

We can say that more the bushels of wheat more will be the weight of the wheat.

Hence, the quantities vary directly.

Therefore, we have

$b=kw$ , where k is the constant of variation.

Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have

$5=136k\\
\\
k=\frac{5}{136}$

Thus, the constant of variation is $\frac{5}{136}$

Now, we have been given 3.5 bushels of wheat. Hence, we have

$3.5=\frac{5}{136} w\\
\\
w=\frac{136\times 3.5}{5} \\
\\
w=95.2$

Therefore, 3.5 bushels of wheat weigh 95.2 kg

4 0

3 years ago

Read 2 more answers

Which pair of functions are inverses of each other? ​

Which pair of functions are inverses of each other?