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3 years ago

Which function is the inverse of f (x) = 2x + 8?

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Answer:

f-1(x) = (x-8)/2

Step-by-step explanation:

f(x) = 2x+ 8

y = 2x + 8

replacing y and x

x = 2y + 8

2y = x- 8

y =( x-8)/2

f-1 (x) =( x-8)/2

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10 pink cards, 10 blue cards, and 10 yellow cards, each color-set labeled 1-10, are placed in a bucket. What is the probability

icang [17]

Answer:

0.00176

Step-by-step explanation:

Probability = 10/30 × 9/29 × 8/28 × 7/27 × 6/26

= 56/31668

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3 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

3 years ago

If NTM is congruent to OUM, SP is congruent to SQ, S is the center of the circle, and OM = 18, find NT. Round the answer to the

Aleks [24]

OM=18, so OQ=QM=18/2=9.
Given QU=8
from figure OQU is a right angled triangle , so OU^2=OQ^2 + QU^2
OU^2 = 9*9 + 8*8 = 81+72=153;
OU=sqrt(153) = 12.37 =13(approx);
From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13

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3 years ago

Solve by completing the square with working out <br><br> -6x-x^2-8

Goryan [66]

-6x-x^2-8 = -(x+2) x (x+4)

(This is if you are factoring the expression)

7 0

3 years ago

Can the ratio of a parent's age to his or her child's age ever be exactly 10 : 9 ?

slega [8]

Mathematically, yes.
Realistically, no.
The difference in their ages is the parent's age when the child was born.
Let's say that the youngest possible is 12.
Then the ratio would be 10:9 when the parent is 120 and the child is 108.
Not likely.

3 0

3 years ago

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