Answer:
(x+7)(x+8)
Step-by-step explanation:
By using calculator,
x= -8 & x= -7
Split the second term in 4m^2 + 16m + 15 into two terms
4m^2 + 10m + 6m + 15
Factor out the common terms in the first two terms, then in the last two terms
2m(2m + 5) + 3(2m + 5)
Factor out the common term 2m + 5
(2m + 5)(2m + 3)
Answer:
Step-by-step explanation:
Graph of the given piecewise function will show the three straight lines,
f(x) = 2 If 2 < x ≤ 4
x + 3 If 4 < x < 8
2x If x ≥ 8
1). f(x) = 2 will be a straight line parallel to x-axis for 2 < x ≤ 4
2). f(x) = x + 3 is a straight line with input output points in the interval 4 < x < 8
x 4 5 6 7 8
f(x) Not defined 8 9 10 Not defined
3). f(x) = 2x
x 8 9 10 11
f(x) 16 18 20 22
By using these points on a graphing calculator we can graph the piecewise function as attached.
Answer:
17 units
Step-by-step explanation:
add 8 to get to 0.
and 9 more to get to point 9.
add 8 and 9 to get the answer of 17.
The first answer, using a number line, is a good answer.
I have two other ways:
Way #1:
5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.
We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.
There's no reason that should change if the 'things' are eighths.
Way #2:
-- Get 2 friends to help you.
-- Take one good-size veggie pizza or coconut cream pie.
-- Carefully cut it up in eight (8) equal pieces.
Now each piece is 1/8 of the pie or the pizza.
-- Give 5 pieces (5/8) to the first friend.
Give 3 pieces (3/8) to the other friend.
-- Ask them to get together and agree on who has more.
