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3 years ago

Algebraically, find the inverse for the following relation; f(x)= 4x² - 1

Mathematics

1 answer:

Talja [164]3 years ago

5 0

To find the inverse, interchange the variables and solve for y.

$f^{-1} (x)=\frac{\sqrt{x+1} }{2} ,-\frac{\sqrt{x+1} }{2}$

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What is the name of the figure? Name the base and if it's a pyramid or prism. EX: rectangular prism or rectangular pyramid. The

ivanzaharov [21]

pyramid ig i am not sure

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4 years ago

You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are fil

max2010maxim [7]

Answer:

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

Combinations Formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

$D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45$

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

$T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435$

Probability:

$P = \frac{D}{T} = \frac{45}{435} = 0.1034$

10.34% probability that you both pick chocolate

8 0

3 years ago

YOU KNOW THE DRILL! First CORRECT answer will get BRAINLIEST!

Effectus [21]

Answer:

91 cm^2

Step-by-step explanation:

The bottom rectangle has an area of

A = l*w = 5* 14 =70

The top right rectangle has an area of

A = 3 *7 = 21

Add the areas together

A = 70+21 = 91 cm^2

4 0

3 years ago

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the

bagirrra123 [75]

Answer:

$c = -6$

$d = -1$

Step-by-step explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

$a = (3,5)$ --- Point on A

$a' = (-3,-6)$ --- Corresponding point on B

When A is reflected across the x-axis, the rule is:

$(x,y) \to (x,-y)$

So, we have:

$(3,5) \to (3,-5)$

Next, is to calculate the translation from $(3,-5)$ to $(-3,-6)$

This is calculated using:

$3 + c = -3$

and

$-5 + d = -6$

So, we have:

$3 + c = -3$

$c = -3-3$

---- i.e. Shift by 6 units to the left

$-5 + d = -6$

$d = 5 - 6$

$d = -1$ --- i.e. Shift by 1 unit down

3 0

3 years ago

Compound interest compounded quarterly is given every ______ months. *<br> 1 point<br> 1<br> 3<br> 6

Ipatiy [6.2K]

Answer:

3 months

a quarter is a period of three months

Step-by-step explanation:

7 0

3 years ago