Answer:
x² + x - 12 = 0
Step-by-step explanation:
If x = -4 and x = 3 are solutions to a quadratic equation, then
(x + 4)(x - 3) = 0
Expand the brackets: x² - 3x + 4x - 12 = 0
Combine like terms: x² + x - 12 = 0
Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
Answer:
All real numbers except .
Step-by-step explanation:
The given function is
This is a rational function.
The domain of a rational function is all real numbers except values that will make the denominator zero.
The denominator of the given function is .
So the domain is all real numbers except
We solve for to obtain,
or .
Therefore the domain is all real numbers except .
Answer:
The 99% confidence interval for the mean paper products recycled per person per day for the population of Dallas is
Step-by-step explanation:
From the question we are told that
The sample size is n = 20
The sample mean is
The standard deviation is
Generally given that the sample size is small , n< 30 we will be making use of t distribution table
Generally the degree of freedom is mathematically represented as
=>
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 99% confidence interval is mathematically represented as
=>
=>
Answer:
3
Step-by-step explanation: