|2x+4| > 8 breaks down into two inequalities: 2x+4 > 8 or 2x+4 < -8
Solving <span> 2x+4 > 8 leads to...
</span><span>2x+4 > 8
</span><span>2x+4-4 > 8-4
</span>2x > 4
2x/2 > 4/2
x > 2
Solving <span>2x+4 < -8 leads to...
</span><span>2x+4 < -8
</span><span>2x+4-4 < -8-4
</span>2x < -12
2x/2 < -12/2
x < -6
So either x > 2 or x < -6
You'll have 2 open circles at 2 and -6 on the number line. The shaded region will be the region to the left of -6 and to the right of 2. Basically everything but in between -6 and 2
Step 1 :
Equation at the end of step 1 :
15
((——•(m6))•(0-2m2))•4
10
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3
((— • m6) • -2m2) • 4
2
Step 3 :
Equation at the end of step 3 :
3m6
(——— • -2m2) • 4
2
Step 4 :
Multiplying exponential expressions :
4.1 m6 multiplied by m2 = m(6 + 2) = m8
Canceling Out :
4.2 Canceling out 2 as it appears on both sides of the fraction line
Equation at the end of step 4 :
-3m8 • 4
Step 5 :
Final result :
-12m8
4x^3+2x-7
three terms
degree of three
Answer:
slope : 1/15
Step-by-step explanation:
slope = change in y / change in x
change in y = 1 / change in x = 15
therefore, 1/15 = slope
Answer: D
Step-by-step explanation: slope = "rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
slope is the change in height, the vertical change, divided by the change in horizontal distance
2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
slope = 1/18 = (1/2)/9
the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically