Answer:
Step-by-step explanation:
step 1
we know that
Nicole can mow a large lawn in about 4 hours
That means----> In 4 hours Nicole mow the 100% of the lawn
so
using proportion
Find out what percentage Nicole mow in 2.5 hours
step 2
we know that
When Nicole and Jessica work together, they can mow the same lawn in about 2.5 hours
Remember that in 2.5 hours Nicole mow 62.5%
That means -----> Jessica in 2.5 hours mow 100%-62.5%=37.5%
using proportion
Find out how many hours would it take Jessica to mow the lawn (100%) by herself
Answer:
24, 48, 108
Step-by-step explanation:
2:9:4
2x+9x+4x=180
15x=180
x=12
2(12)=24
9(12)=108
4(12)=48
P(x)=2x 4 −x 3 +2x 2 −6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x,
Tresset [83]
Answer:
P = -x^3 +12 / x+6
Step-by-step explanation:
Let's solve for p.
px=(2)(4)−x3+(2)(2)−6p
Step 1: Add 6p to both sides.
px+6p=−x3−6p+12+6p
px+6p=−x3+12
Step 2: Factor out variable p.
p(x+6)=−x3+12
Step 3: Divide both sides by x+6.p(x+6)
x+6
=
−x3+12
x+6
p=
−x3+12
x+6
F(x) = x^4 - 3x^3 + 2x^2 - 2x + 5
(x - 3) is a factor of f(x), if f(3) = 0
f(3) = (3)^4 - 3(3)^3 + 2(3)^2 - 2(3) + 5 = 81 - 81 + 18 - 6 + 5 = 17
Therefore, (x - 3) is not a factor of x^4 - 3x^3 + 2x^2 - 2x + 5