For this, we use the FOIL method of expanding brackets; start by multiplying the FIRST terms of each bracket together to get xx=x^2. Next multiply the OUTSIDE elements, ie the first element in the first bracket and the last in the second, giving x(-5)=-5x. Then comes the INSIDE elements, giving 4x=4x, and finaly the LAST elements of each bracket, giving 4(-5)=-20. Adding all these terms together gives us our answer; x^2+4x-5x-20, which can be simplified to x^2-x-20.
Hope this helps!
So hmm check the picture below
a circle has a total of 360°, thus arcBC + x + arcCD is 360, so arcCD is just 360 - 112 - x, whatever "x" was that you found
- Slope Formula:

So using the slope formula, plug in the two points and solve for it as such:

<u>The slope is -3/7.</u>
Answer:
H0 : μ1 = μ2
H0 : μ1 < μ2
Step-by-step explanation:
Given :
Early studiers, group 1, mean μ1
Late studiers, group 2 ; mean, μ2
To test the claim that students who study earlier have an average score that is less than the average score for students
The null hypothesis ; there is no difference in average score
H0 : μ1 = μ2
Alternative hypothesis is early studiers means is less than average score of late studiers
H0 : μ1 < μ2
Answer:
x-12≤7
x≤19
Step-by-step explanation:
less than means it comes after
x-12
is at most means less than or equal to
x-12≤7
Add 12 to each side
x-12+12≤7+12
x≤19