Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
<u>change sides</u>
⇒ x ≤ -7 + 4, x ≥ 7 + 4
<u>add/subtract integers</u>
⇒ x ≤ -3, x ≥ 11
Y=4/x-3/x
y=1x(mean X)
So,y = x
Answer:
Step-by-step explanation:
12x+4=8x-6
Collecting like term
12x - 8x = -6 - 4
4x = -10
x = -10/4
x = -5/2
x = -2 1/2
Answer:
Step-by-step explanation:
AREA FORMULA: LENGTH * WIDTH
L*W=30
L=W+4 thus
(W+4)W=30
W^2+4W=30
W^2+4W-30=0
USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4QC])/2A
X=(-4+-SQRT16-4*1*-30])/2*1
X=(-4+-SQRT16+120])/2
X=(-4+-SQRT136)/2
X=(-4+-11.66)/2
X=(-4+11.66)/2
X=7.66/2
X=3.83M IS THE WIDTH.
THUS THE LENGTH IS
L*3.83=30
L=30/3.83
L=7.83M IS THE LENGTH
Answer:
see explanation
Step-by-step explanation:
Sum the parts of the ratio, that is 5 + 3 + 1 = 9
Divide the total by 9 to find the value of one part of the ratio
$63000 ÷ 9 = $7000 ← value of 1 part of the ratio, thus
5 parts = 5 × $7000 = $35000
3 parts = 3 × $7000 = $21000