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3 years ago

If function g is the inverse of function f, then what does f(g(-5)) equal?

Mathematics

1 answer:

alekssr [168]3 years ago

5 0

Answer:

C). -5.

Step-by-step explanation:

If g is the inverse of f then f(g(x) = x.

So f(g(-5)) = -5.

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satela [25.4K]

Answer:

The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.

Step-by-step explanation:

We need to complete the table.

Positive Integer: value having + sign

Negative Integer : Value having - sign

The digits in bold are those that were given, and other two we had to fill

Positive Integer Negative Integer Value

15 -15 15

101 -101 101

4 -4 4

82 -82 82

1121 -1121 1121

33 -33 33

10 -10 10

999 -999 999

47 -47 47

1 -1 1

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3 years ago

Use multiplication to solve the proportion. h/15= 16/3

julia-pushkina [17]

Answer:

h=80

Step-by-step explanation:

15/3=5 so 16*5=80

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3 years ago

Ungrouping 5000 using place value

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3 years ago

Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their an

densk [106]

Answer:

see the explanation

Step-by-step explanation:

we have

Felicia

$-5(3x+2)+10x$

Apply distributive property

$-5(3x)-5(2)+10x$

$-15x-10+10x$

Combine like terms

$-5x-10$

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant term in Gregory's expression

$-12-4x+ax+b$

equate Gregory's expression to Felicia's expression

$-12-4x+ax+b=-5x-10$

$-12+b=-10$ -----> $b=2$

$-4x+ax=-5x$ ------> $a=-1$

Gregory's expression is

$-12-4x+2-x$

therefore

The missing terms are 2 and -x

7 0

3 years ago

The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would

Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, $A_1$ = 2 x × 3 x

Or, $A_1$ = 6 x²

Again

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or, $A_2$ = 4 x × 4.5 x = 18 x²

So, The percentage increase in area = $\dfrac{A_2 - A_1}{A_1}$ × 100

Or, The percentage increase in area = $\frac{18 x^{2}-6x^{2}}{6x^{2}}$ × 100

Or , The percentage increase in area = $\dfrac{12}{6}$ × 100

∴ The percentage increase in area = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

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3 years ago