<h3>
Answer: x > 2</h3>
Work Shown:
5x - 14x < - 18
-9x < - 18
x > -18/(-9)
x > 2
The inequality sign flips when dividing both sides by a negative number.
Here's another approach you could take.
5x - 14x < - 18
-9x < -18
0 < -18+9x
18 < 9x
9x > 18
x > 18/9
x > 2
It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.
The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.
The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4
Answer: 
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do 
. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
Now do 
. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
Your final step is to do 
. Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times
Answer:
u = (-21)/20
Step-by-step explanation:
Solve for u:
u + 1/4 = (-4)/5
Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:
(4 u)/4 + 1/4 = -4/5
(4 u)/4 + 1/4 = (4 u + 1)/4:
1/4 (4 u + 1) = -4/5
Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:
(4 (4 u + 1))/4 = (-4)/5×4
4×(-4)/5 = (4 (-4))/5:
(4 (4 u + 1))/4 = (-4×4)/5
(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:
4 u + 1 = (-4×4)/5
4 (-4) = -16:
4 u + 1 = (-16)/5
Subtract 1 from both sides:
4 u + (1 - 1) = (-16)/5 - 1
1 - 1 = 0:
4 u = (-16)/5 - 1
Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:
4 u = (-16)/5 - 5/5
-16/5 - 5/5 = (-16 - 5)/5:
4 u = (-16 - 5)/5
-16 - 5 = -21:
4 u = (-21)/5
Divide both sides by 4:
u = ((-21)/4)/5
5×4 = 20:
Answer: u = (-21)/20
