Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
Answer:
Start by laying out 7 tiles, and then adding 3. Whatever that number of tiles is equals x.
x = 10
10 - 3 = 7
Answer:
Unit rate
Step-by-step explanation:
unit rate: A rate is a ratio that is used to compare different kinds of quantities.
Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.
The probability of getting a lemon-lime flavored drink is 4/10 or 40%.
The probability of getting a orange flavored drink is 3/10 or 30%
The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.
If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.
.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.
