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4 years ago

What is the inverse of the function f(x) = x +3?

Mathematics

1 answer:

Novay_Z [31]4 years ago

7 0

Y=x+3

Find the inverse by flipping x and y and simplifying
x=y+3
x-3=y

Rearrange
y=x-3

Final amswer: C

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The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways

denis-greek [22]

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

$\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B$

Hope that helps!

8 0

3 years ago

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Vesnalui [34]

Answer:

Rate of change for the linear relationship modeled is $\dfrac{-1}{2}$

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Putting the points as (-1, 10) and (1, 9), we get

$m=\dfrac{9-10}{1-(-1)}$

$=\dfrac{9-10}{1+1}$

$=\dfrac{-1}{2}$

Rate of change is the slope of the line joining all these points.

7 0

3 years ago

Read 2 more answers

At 12 noon, leslie recorded the temperature as 56 degrees f. The temperature had increased by 8 degrees f from 10am. The tempera

Marat540 [252]

Let the temperature at 10am be x, then
x + 8 = 56
x = 56 - 8 = 48 degrees F

Let y be the temperature at 8am, then
y - 2 = 48
y = 48 + 2 = 50 degrees.

4 0

3 years ago

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Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

Delvig [45]

Hello :
all points <span>lies on a circle with a radius of 5 units and center at P(6, 1)are :
M(x,y) : (x-6)² + (y-1)² = 25</span>

4 0

4 years ago

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gtnhenbr [62]

Answer: