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olganol [36]
3 years ago
10

Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer:

c = - 2

Step-by-step explanation:

Given inverse function

f^{-1} (5) = - 1 , then

f(- 1) = 5 , that is

- 2c + c(- 1) - (- 1)² = 5

- 2c - c - 1 = 5

- 3c - 1 = 5 ( add 1 to both sides )

- 3c = 6 ( divide both sides by - 3 )

c = - 2

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What is the value of x
VLD [36.1K]

Answer:

value of x = 8

Step-by-step explanation:

if the given lines are parallel, then the shown pair of angles are corresponding angles,

and we know that the the pair of corresponding angles are equal so,

=》16x - 8 = 120

=》16x = 128

=》x = 128 ÷ 16

=》x = 8

6 0
3 years ago
a circular frame that is 3-inches wide surrounds the mirror what I the combined area in square inches of the circular mirror and
Tcecarenko [31]
Assuming the frame is a perfect circle
and 3 inches wide indicates the diameter


area of a circle=pi times radius^2

diameter=2 times radius
radius=1/2 diameter
diameter=3
radius=1/2 times 3
radius=3/2=1.5

area=pi times 1.5^2=2.25
pi is aprox 3.14 so
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the answer is 2.25π square inches or 7.065 square inches

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3 years ago
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6 0
3 years ago
Read 2 more answers
How to do system of equations
aliya0001 [1]

Answer: The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices.

Step-by-step explanation:

Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation.

Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.

Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.

7 0
3 years ago
Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp
Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

<u>Earth</u> takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is \dfrac{1}{365}\frac{\text{rev}}{\text{day}}

so, in a 1000 days how many revolutions will Earth have made?

\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})

see that the 'day's cancel out. Simply multiply the two numbers!

2.739\text{rev}

<u>Next, do the same for Mercury</u>

we can say that the rotational speed of Mercury is \dfrac{1}{88}\frac{\text{rev}}{\text{day}}

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})

multiplying by 1/88 by 1000 yields:  

11.363\text{rev}

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

11.363\text{rev} - 2.739\text{rev}

8.624\text{rev}

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

5 0
3 years ago
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