Answer:
- <em>To solve these first swap x and y, solve for y and name it inverse function</em>
3. <u>y = -8x + 2</u>
- x = -8y + 2
- 8y = -x + 2
- y = -x/8 + 2/8
- y = -(18)x + 1/4
f⁻¹(x) = -(18)x + 1/4
-----------------------------------------
4.<u> y = (2/3)x - 5</u>
- x = (2/3)y - 5
- (2/3)y = x + 5
- y = (3/2)x + (3/2)5
- y = 1.5x + 7.5
f⁻¹(x) = 1.5x + 7.5
-----------------------------------------
5. <u>f(x) = 2x² - 6</u>
- x = 2y² - 6
- 2y² = x + 6
- y² = 1/2x + 3
- y =
f⁻¹(x) =
-----------------------------------------
6. <u>y = (x - 3)²</u>
- x = (y - 3)²
= y - 3- y = 3 +
f⁻¹(x) = 3 +
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. A complete question is in the form:
A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.
Solution:
The total number of letters found in the word EXCELLENT = 9
i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3
Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3
probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%
ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6
Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3
probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%
Answer:
see below
Step-by-step explanation:
First we need to find the radius
r =d/2 = 15.8/2 = 7.9 cm
The area of a circle is given by
A = pi r^2
= pi ( 7.9) ^2
=62.41 pi
Using 3.14 for pi
195.9674
To the nearest hundredth
195.97
Using the pi button
196.0667975
To the nearest hundredth
196.07
Answer:
19 people
Step-by-step explanation:
To find how many people went to the mall, count each x
At 0 trips, there are 2 xs, so<u> 2</u> people had 0 trips to the mall
At 1 trip, there are 0 xs, so <u>0</u> people had 1 trip to the mall
At 2 trips, there are 10 xs, so <u>10 </u>people had 2 trips to the mall
At 3 trips, there are 7 xs, so <u>7</u> people had 3 trips to the mall
Add up all the xs
2+0+10+7=19
19 people in all
