Answer:
Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:
1 + 12x - 40 -12x
= 1 - 40
= -39
Answer:
f(x) = -3x
--->#6
f(x) = |x-1|+3
--->#5
f(x) = √(x+3)
--->#3
1/2x²
--->#1
f(x) = (x+1)²-3
--->#4
4|x|--->#2
Step-by-step explanation:
Recall for transformations:
- Adding a number outside the function moves it up
- Subtracting a number outside the function moves it down
- Adding inside the function moves it to the left
- Subtracting inside the function moves it to the right
- Multiplying to the function by a number less than 1 compresses
- Multiplying to a function by a number greater than 1 stretched it
- Multiplying by a negative flips the graph
f(x) = -3x
This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.
f(x) = |x-1|+3
Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.
f(x) = √(x+3)
Addition inside the function shifts it to the left 3. This is #3
1/2x²
Multiplication by 1/2 which is less than 1 compresses it. This is #1.
f(x) = (x+1)²-3
Addition inside the function shifts the function to the left once. This is #4.
4|x|
Multiplying by 4, a number greater than 1, stretches it. This is #2.
Answer:
The p-value would be 0.0939
Step-by-step explanation:
We can set a standard t-test for the Null Hypothesis that 
The test statistic then takes the form

with this value we then can calculate the probability that is left to the right of this value
. From theory we know that t follows a standard normal distribution. Then
which is smaller than the p-value set by Breyers of 0.10
Answer:
0.245
Step-by-step explanation:
24/1/2%=24.5%
=0.245
Answer:
no solution
Step-by-step explanation:
If we subtract the left side of the equation, we get ...

This equation will equal zero only if m=3, which is disallowed because it makes the denominator zero. Thus, there is no solution.