Answer: D
<u>Step-by-step explanation:</u>
x - 2 = 0 --> x = 2
Using synthetic division:
2 | 4 -5 3 -1
|<u> ↓ 8 6 18</u>
4 3 9 17 ← this is the remainder!
Using remainder theorem:
f(x) = 4x³ - 5x² + 3x - 1
f(2) = 4(2)³ - 5(2)² + 3(2) - 1
= 32 - 20 + 6 - 1
= 17
To simplify this, first, multiply the whole equation with x to get rid of the denominator.
[ x + 3/9/x + 12/6] * x
Simplify 12/6 beforehand, which is 2.
[ x + 3/9/x + 2] * x
Distribute x to each of the terms
x2 + 3/9 + 2x
This is already a simplified equation. If you wan to further simplify by getting rid of the fraction, multiply the whole equation with 9 to eliminate the denominator.
[x2 + 3/9 + 2x]*9
9x2 + 3 + 18x
9x2 + 18x + 3 =0
Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.
Answer:
$8.00
$32.00
$62.000
N.$6.00 + $2.00
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) So -8+2v<2, 2v<10, v<5. That means that at "5" on the axis, you'll draw a circle that's <em>not</em> filled in (because it's <5, not
5) and then draw a box-y thing to the left. Sorry, can't really describe it, but if you look at the picture attached, you'll understand
2) -12m-8
-5m-7m, so -12m-8
-12m, -8
0. This one doesn't have a variable... so you can't really graph it?