Answer:
2x³ + 11x² + 8x - 16
Step-by-step explanation:
Multiply:
(x + 4) (2x² +3x - 4)
2x³ + 3x² - 4x + 8x² + 12x - 16
Combine like terms:
2x³ + 11x² + 8x - 16
Answer:
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Step-by-step explanation:
Answer:is (4x-5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
x + 40 = 10
x = -30
She paid $30 on her credit card
This is a simple system of equations. We first write the words in math as 4x + 6y = 36 and 5y - 3x = 49.
Now we isolate 5 in the second equation to get 5y = 49+3x or y=(49+3x)/5. We can now substitute our value for y into our first equation and simplify.
4x + 6y = 36 is the same as 4x+6((49+3x)/5) = 36. This can be simplified to 4x+(294+18x)/5 = 36, which is the same as 20x+294+18x = 180. We can combine like terms to get 38x +294 = 180 or 38x = -114. Now we divide by 38 on both sides to get x = -3.
Now that we have our value for x, we substitute that value into the second equation and solve for y.
5y - 3x = 49 is the same as 5y - 3(-3) = 49 or 5y+9 = 49. This can be simplified to 5y=40 or y=8.
Our values for x and y are -3 and 8. Hope this helps!
