D and E —> substitute the x or y of the point given into the functions to test if it is correct
Answer:
A
Step-by-step explanation:
1) first there are a few rules we need to know:
a) the sum of any two sides of a triangle is always larger than the 3rd side
b) the difference between any two sides of a triangle is always smaller than the 3rd side;
hence,
3+4=7
4-3=1
triangle 3,4,5 follows all the rules,
triangle 13,2,11:
11+2=13
the sum of any two sides must always be GREATER than the 3rd side-so this is not an option
triangle 10,4,5
5+4=9
9<10
not an option
Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.
N = no solution
-4 ( 6 - 2n ) = 30 + 8n
-24 + 8n = 30 + 8n
Subtract 8n from both sides
-24 = 30
This is invalid therefore no solution