Answer:
Step-by-step explanation:
a) distance/unit rate = 1600/12.5 = 128
b) liters of gas × unit price = 128 × 0.90 = 115.2
Step-by-step explanation:
Notation x^2-6x-7<0
x2−6x−7<0
Convert the inequality to an equation.
x2−6x−7=0
Factor
x2−6x−7
using the AC method.
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(x−7)(x+1)=0
Set
x−7=0
and solve for x.
Set the factor equal to 0.
x−7=0
Add
7
to both sides of the equation.
x=7
Set
x+1=0
and solve for x.
x=−1
Consolidate the solutions.
x=7,−1
Use each root to create test intervals.
x<−1−1<x<7x>7
Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.
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x<−1
False
−1<x<7
True
x>7
False
The solution consists of all of the true intervals.
−1<x<7
Convert the inequality to interval notation.
(−1,7)
<h2>
The factoring the GCMF of 12y - 16 = 4(3y - 4)</h2>
Step-by-step explanation:
We have,
12y - 16
To find, the factoring of GCMF of 12y - 16 = ?
∴ 12y - 16
The factors of 12 = 1, 2, 3, 4, 6 and 12 and
The factors of 16 = 1, 2, 4, 8 and 16
The greatest common multiple factor(GCMF) = 4
12y - 16
= 4(3y - 4)
∴ The factoring the GCMF of 12y - 16 = 4(3y - 4)
Thus, the factoring the GCMF of 12y - 16 is 4(3y - 4).
Answer:
35
Step-by-step explanation:
4 x 4+4(5-2)+7
4 x 4+4(3)+7
16+12+7
28+7
35
3x^2 -6x + 6 :) hope this is alright
