Mathematics College

Trying to find the inverse of a the function:


s(t) = - 85 - 7t

--------

10

Trying To Find The Inverse Of A The Function:s(t) = - 85 - 7t -------- 10

Answers

Answer 1

The inverse function of the function is s'1(t) = 1/7(10t + 85)

What are inverse functions?

Inverse functions are the opposite of an original equation.

This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

How to determine the inverse functions?

The function f(x) is given as

s(t) = -(85 - 7t)/10

As a general rule, we start by writing s(t) as a variable (say s(t) = s).

So, the equation of the function becomes

s = -(85 - 7t)/10

The next step is to switch/swap the positions of s and t in the above equation s = -(85 - 7t)/10

The equation becomes

t = -(85 - 7s)/10

The next step is to make s the subject of the formula in the above equation t = -(85 - 7s)/10

The equation becomes

10t = -(85 - 7s)

Open the bracket

10t = -85 + 7s

So, we have

7s = 10t + 85

Divide by 7

s = 1/7(10t + 85)

Express as an inverse function

s'1(t) = 1/7(10t + 85)

Hence, the inverse function of the function is s'1(t) = 1/7(10t + 85)

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Related Questions

Which of the following equations is equivalent to log(y)= 3.994

Which of the following equations is equivalent to log(y)= 3.994

Answers

ANSWER:

\(y=10^{3.994}\)

STEP-BY-STEP EXPLANATION:

We have the following expression:

\(log\mleft(y\mright)=3.994\)

Applying property of logarithms we have:

\(\begin{gathered} \log _a(b)=c\rightarrow b=a^c \\ \text{ in this case:} \\ log(y)=3.994\rightarrow y=10^{3.994} \end{gathered}\)

Someone Help Me Please. ?

Someone Help Me Please. ?

Answers

Answer:

I’m guessing number 3

Step-by-step explanation:

Answer question no.3

Answer question no.3

Answers

The diagonal of the Rhombus intersect at point M and thus, m<IMJ is 90 degrees

How to prove the angle

It is important to note the properties of a Rhombus, they are;

All sides of the rhombus are equal.Opposite sides of a rhombus are parallel.Opposite angles of a rhombus are equal.Diagonals bisect each other at right angles, that is 90 degrees in a Rhombus.Diagonals bisect the angles of a rhombus.The sum of two adjacent angles is equal to 180 degrees.

From the diagram shown, we can see that the diagonals are;

Diagonal 1: JL

Diagonal 2: IK

These diagonals intersect at point M and since diagonals in a Rhombus intersect at right angles, that is , 90 degrees.

Then, m< IMJ is 90 degrees

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A hiking trail is 24 miles from start to finish. Anne claims that the distance she has walked and the distance she has left to walk as a ratio of 5:7. how many miles has Anne walked?

Answers

Answer:

10 miles

Step-by-step explanation:

\(24\left(\frac{5}{5+7} \right)=10\)

The distance walked by Anne is 14 miles.

Given that,
A hiking trail is 24 miles from start to finish.
Anne claims that the distance she has walked and the distance she has left to walk as a ratio of 5:7.
how many miles has Anne walked is to be determined.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The hiking trail is 24 miles.

Ratio distance travel and  distance left = 5 : 7
Now,
the sum of ratios = 12
Distance traveled = 5 / 12 * 24 = 10 miles.
Distance left = 7 / 12 * 24 = 14 miles

Thus, the distance walked by Anne is 14 miles.

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what is the slope of the line that passes through the points (-8,3) and (-8,2). write your answer in the simplest form​

Answers

Answer:

0

Step-by-step explanation:

The slope is 1/0, and that equals 0.

Answer:

It's undefined

Step-by-step explanation:

PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points

PLEASE HELP THIS IS DUE NOWwill mark brainliest!10 points

Answers

the photo’s too blurry or is it just my eyes im sorry but i think it’s B

PLEASE HELP ASAP AND THANKS :P

PLEASE HELP ASAP AND THANKS :P

Answers

Answer:

The type of function that the table represents is a radical function because in the table shown there is a pattern, all the roots of ALL the values of x multiplied by 4 results in the value of f(x) therefore, as 100% of values in the table comply with this pattern, we can assert that it is a radical function

PLEASE HELP ASAP AND THANKS :P
PLEASE HELP ASAP AND THANKS :P

Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?

A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3

Answers

The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

What are the relative minimums and the relative maximums of a function?

The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.

Hence the critical points of the graphed function are given as follows:

Maximum: x = -0.3.Minimum: x = 2.3.

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Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local

I need help with is proof if -4(x-3) +5x=24,then x=12

Answers

well, replace all x with the number 12

-4(12-3)+5(12) = 24

-4(9) +60 = 24

-36+60 = 24

24 = 24

Hope this helps!

D) tape measure
12. A compact car is 5.5 meters in length. How many of these compact
cars can be parallel parked on a street in a neighborhood that is three
hundred thirty feet long?
1 meter = 3.28 feet
A) approximately 18
B) approximately 60
C) approximately 196
D) approximately 230
13 Mount St Helen's is 2510667 motor

Answers

Answer:

the answer is A

Step-by-step explanation:

Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one. Blueberry Breakfast Treats Number of Batches 1 2 3 4 Cups of Blueberries Three-fourths -- -- -- On a coordinate plane, a graph titled Blueberry Breakfast Treats has batches on the x-axis and Blueberries on the y-axis. Points A is (2, 1.5), point B is (2.6, 2.25), point C is (3, 2.25), point D is (4, 3). If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins? A B C D

Answers

Answer:

A

Step-by-step explanation:

Which was a factor in explosive population growth in cities? Please help

Which was a factor in explosive population growth in cities? Please help

Answers

Answer:

b

Step-by-step explanation:

someone please help I will give biranlyest to who ever is right.​

someone please help I will give biranlyest to who ever is right.

Answers

Answer:

A. cd4

Step-by-step explanation:

Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?

Answers

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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Simplify
6sqrt20 + 8sqrt5 – 5sqrt45

Answers

Answer:

5√5

Step-by-step explanation:

Simplify

6√20 + 8√5 - 5√45 = 6√4(5) + 8√5 - 5√9(5) =6(2)√5 + 8√5 - 5(3)√5 = (12 + 8 - 15)√5 =5√5

What is the value for x

What is the value for y

What is the value for x What is the value for y

Answers

Answer:

y=155, x=65

Step-by-step explanation:

y+25=180

y=155

y=90+x

155=90+x

x=65

if my answer helped please mark as brainliest.

The required measure of angles x and y are 65° and 155° respectively.

Following the given figure, to determine the value of y and x.

In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.

To determine y, follow the property of supplementary angle:

y + 25 = 180
y = 180 - 25
y = 155°

To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65

Thus, the required measure of angles x and y are 65° and 155° respectively.

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4x-3(x+4)=7 i need to know this i need help with this.

Answers

Answer:

x=19

Step-by-step explanation:

4x-3x-12=7

x-12=7

x=7+12

x=19

Answer:

x=19

Step-by-step explanation:

first you would distribute the -3 to the x and the 4 which would give you

4x-3x-12=7

next you would combine like terms (there's always an invisible 1 one front of a variable)

x-12=7

then to get the variable by itself you would add 12 on each side

x=19

hope this helped :)

60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?

Answers

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

5 pound each pound has 1/4 how many

Answers

Answer:

5/4

Step-by-step explanation:

5 pounds, and if each of those has 1/4 of something then they would have 5/4 or 1.25 of that something

P=x-2 ÷ x+1 for what value of x is P undefined​

Answers

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1


Laura invests $100 in an account that continuously compounds. In 50 years, her money will triple. What is the interest rate for this account

Answers

Answer:

its something close 5%

Step-by-step explanation:

PLEASE HELP ITS DUE NOW
(fifth grade math)

PLEASE HELP ITS DUE NOW(fifth grade math)

Answers

Answer:

Below.

Step-by-step explanation:

He made 64 pots so?

2.77x64=177.28now since he made 3.19 selling all of them we have to multiply 64x3.19=204.16, now subtract this from how much it cost for him to make it.

He made 26.88$ in profit.

simply:80 divided by 4 minus 2(2+1)2 squared

Answers

Answer: 2

Step-by-step explanation: (I'm not sure if you meant 80/4 - 2*(2+1)^2 but I will solve that one just in case)
80/4 = 20
(2+1)^2 = 3*3 = 9
2*9 = 18
20 - 18 = 2

The simplified value of  the expression 80/4 - 2*(2+1)² is: 2.

Here, we have,

given that,

the expression is:

80 divided by 4 minus 2(2+1)2squared

we get, we have to simplify this

now, we have,

80/4 - 2*(2+1)²

as, we know,

80/4 = 20

and, we have,

(2+1)²

= 3×3

= 9

so, we get,

2×9 = 18

so, we have,

20 - 18 = 2

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4.
X =
x
16
60°
_____y=_
-
y

Answers

Answer: what the hell the happened

Step-by-step explanation:

SOMEONE HELP, PLEASE!!

BD−→− bisects ∠ABC.

Find m∠ABD, m∠CBD, and m∠ABC.

SOMEONE HELP, PLEASE!!BD bisects ABC.Find mABD, mCBD, and mABC.

Answers

Answer:

Step-by-step explanation:

6x + 14 = 3x + 29

3x = 15

x = 5

m∠ABD = (6(5) + 14)° = 44°

m∠CBD = (3(5) + 29)° = 44°

m∠ABC = 2(44)° = 88°

A makeup artist charges $40 to travel to a wedding, plus $20 per hour for the makeup she is doing at the wedding. The bride receives a bill for $100. How many hours did the makeup artist work at the wedding? First write an equation that models the situation using function notation.

Answers

Answer:

The makeup artist worked for 3 hours.

Step-by-step explanation:

Giving the following information:

A makeup artist charges $40 to travel to a wedding, plus $20 per hour for the makeup she is doing at the wedding. The bride receives a bill for $100.

We need to structure the total cost formula:

f(x)= 40 + 20x

x= number of hours

Now, for $100:

100= 40 + 20x

60/20= x

3= x

The makeup artist worked for 3 hours.

Find the missing side length. Show all of your work. I'll give you the brilliant crown if you answer the question correct.

Find the missing side length. Show all of your work. I'll give you the brilliant crown if you answer

Answers

Answer:

h = 6

Step-by-step explanation:

We need to use Pythagorean theorem.

h² + 8² = 10²

h² = 100 - 64 = 36

h = 6

GIVE ME THE INVERSE EQUATION
f (x) = -2x + 3​

Answers

Answer:

f⁻¹(x) = -(x - 3)/2

Step-by-step explanation:

Step 1: Write equation

f(x) = -2x + 3

y = -2x + 3

Step 2: Find inverse

x = -2y + 3

x - 3 = -2y

y = (x - 3)/-2

y = -(x - 3)/2

f⁻¹(x) = -(x - 3)/2

Find the missing value so that the two points have a slope of -13/2
(-2,y) and (0,-4)

Answers

Solution:

Note that:

Given points = (-2,y) and (0,-4)Slope = -13/2Formula: y₂ - y₁/x₂ - x₁

Forming an equation:

y₂ - y₁/x₂ - x₁ = Slope=> -4 - y/0 - (-2) = -13/2

Solving the equation:

=> -4 - y/0 + 2 = -13/2=> -4 - y/2 = -13/2=> -4 - y = -13=> -y = -13 + 4=> -y = -9=> y = 9

The missing value is 9.

Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)

Answers

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

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