Answer:
Answer is given below.
Step-by-step explanation:
let us solve the numerator first
=4x²-14x+6
=2(2x²)+2(-7x)+2(3)
= GCF of the terms of the numerator is 2.
denominator
x³-7x²+12x
x(x²)+x(-7x)+x(12)
GCF of the terms of the denominator is x.
factorise the numerator
4x²-14x+6
4x²-2x-12x + 6 (by splitting the middle term; the numbers should produce the product 4*6 and when the no.s are added they should give -14)
(4x²-2x) + (-12x+6)
2x(2x-1) -6(2x-1)
(2x-6)(2x-1)
factors are
(2x-6), (2x-1)
denominator
this can also be done by splitting the middle term
x³-7x²+12x
x³-3x²-4x²+12x
(x³-3x²) + (-4x²+12x)
x²(x-3) -4x(x-3)
(x²-4x)(x-3)
factors are
(x²-4x), (x-3)
Alonzo is correct
When dividing two negative numbers together they become positive so it’s basically 48 divided by 6
Answer:
$461
Step-by-step explanation:
First, find the cost with the daily charge of $29.
Multiply 14 by 29, since the car was rented for 14 days:
14(29)
= 406
Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.
320 - 100
= 220
Find the charge by multiplying this by 0.25:
220(0.25)
= 55
Add this to the daily charge:
55 + 406
= 461
So, the cost will be $461
Answer:
1)
2)0
Step-by-step explanation:
for part 1:
Given cos(x) - cos^3(x)
= cos(x) (1- cos^2(x))
Using the identity 
= cos(x)sin^2(x)
for part 2:
given
=
Using the identity cos(a)cos(b) + sin(a)sin(b)= cos(a-b)
=
=
=
=0!
Answer:
Anneliese needs 
cups of butter to make 
of the recipe for cookies.
Step-by-step explanation:
According to the statement, a recipe for cookies require 
cup of butter and the amount of butter required to prepare of the recipe is determined by the following simple rule of three:
Anneliese needs cups of butter to make of the recipe for cookies.
