Answer:
Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.
Step-by-step explanation:
First you need to distribute the 1/2 by the numbers in the parentheses
1/2•4x and 1/2•10 which equals
2x+5=10
next, you will need to get the 2x by itself so you would do
2x+5=10
-5=-5
2x=5
finally, you divide the 2 by the 5 so you can get the x by itself
2x divided by 5
the answer is: x=2.5
These are the steps for transforming y=1/x to y=1/4x -12:
Step 1: Compress the original function by 4 in x direction. This will yield,
y= 1/4x
Step 2: The resulting function in step 1 is moved down by 12 spaces. The resulting function will be;
y= 1/4x -12
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
Answer:
interval = [17.3948 , 20.6052]
Step-by-step explanation:
given,
random sample (n) = 45
average product lifespan = 19 years
standard deviation = 4 years
confidence interval of 99 % = ?
we know,
t* = qt(1.99/2 + 44 ) = qt(0.995,44)
t* = 2.692
so,
interval
interval = [19 - 1.6052 , 19 + 1.6052]
interval = [17.3948 , 20.6052]
