Answer:
see below
Step-by-step explanation:
1. The inverse means take the not of both sides
If it is Saturday, then there is no school.
Inverse If it is not Saturday, then there is school.
The converse flips the then and the if
If there is no school, then it is Saturday.
2.) The first given part is the if, what will happen is the then part
If you are a freshman, then you are required to attend orientation.
3.)
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 Subtraction Property of equality ( since we subtract 1 from each side)
3. X=-5 Division Property ( since we divide each side by 3)
Answer:
92 feet and each animal has 2 feet so divide by 2 = 46
then minus it by 33 the number of heads and get 13
<u>answer is 13 animals</u>
Step-by-step explanation:
64lb = 4 boxes
7*4= 28
64-28=36
Each bag of rice weighs 9 pounds
G(x) = 2x + 1
<u>Find g(a + h):</u>
g(a + h) = 2(a + h) + 1 = 2a + 2h + 1
<u>Find g(a):</u>
g(a) = 2(a) + 1 = 2a + 1
<u>Find g(a + h) - g(a):</u>
g(a + h) - g(a) = 2a + 2h + 1 - ( 2a + 1)
Distribute the negative sign:
g(a + h) - g(a) = 2a + 2h + 1 - 2a - 1
Combine like terms:
g(a + h) - g(a) = 2h
Answer: 2h
The definite integral from x=2 to x=k of (6x-5) is
x^2
6*------- - 5x, [2,k] or 3[ k^2 -5k] - 3 [ 2^2 - 5(2) ]
2 or
3[k^2 - 5k] - 3[4-10] = 10 (as given)
3k^2 -15k + 18 = 10, or
3k^2 - 15k + 8 = 0
This is a quadratic equation; solve it using the quadratic formula:
-(-15) plus or minus sqrt( [-15]^2 - 4(3)(8) )
k = ------------------------------------------------------------
6
15 plus or minus 26.36
= ------------------------------------
6
