Answer:
4.
a) 
b)
5. Yes
Step-by-step explanation:
The distributive property is:
It can be extended to a lot of terms as well.
We will use this to multiply both of the probelms shown.
4 a)
The answer is
4 b)
The answer is
5. Yes
Answer:
B. 3x² -17
Step-by-step explanation:
f(x)= 3x+1
g(x)= x² -6
(f °g)(x) =f(g(x)) so plug in in f for variable x²-6
(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17
Answer:
W=7 and L=11
Step-by-step explanation:
We have two unknowns so we must create two equations.
First the problem states that length of a rectangle is 10 yd less than three times the width so: L= 3w-10
Next we are given the area so: L X W = 77
Then solve for the variable algebraically. It is just a system of equations.
3W^2 - 10W - 77 = 0
(3W + 11)(W - 7) = 0
W = -11/3 and/or W=7
Discard the negative solution as the width of the rectangle cannot be less then 0.
So W=7
Plug that into the first equation.
3(7)-10= 11 so L=11
Answer:
x<8
Step-by-step explanation:
x+7<15
x<15-7
x<8
Answer:
9801
Step-by-step explanation:
Given the general term for calculating the nth term of a sequence;
Sn = n²
Where n is the number of terms.
To find the 99th term of the sequence using the nth term of the sequence;
Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;
S99 = 99²
S99 = 9,801
