Answer:
X = -15
Step-by-step explanation:
6X +12 = 4X -18
Subtract 4X from both sides
2X +12 = -18
Subtract 12 from both sides
2X = -30
Divide both sides by 2
X = -15
So basically just have the unknown on one side and normal numbers on the other. Make sure you do the same thing on both sides.
Mark me as brainliest if this helps!
Answer:solutions, search about Complex Numbers
Step-by-step explanation:−2||=−6
−
2
|
x
|
=
−
6
||=−6−2=3
|
x
|
=
−
6
−
2
=
3
The value inside the absolute value brackets could be positive or negative and give a positive result.
()=3
(
x
)
=
3
OR −()=3
−
(
x
)
=
3
=3
x
=
3
OR =−3
x
=
−
3
On a number line, that would translate to a number line with two dots on it, one at -3 and one at +3.
Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54
If there are real roots to be found for this polynomial, the Rational Root Theorem and synthetic division are the best way to find them. I teach from a book that uses c and d for the possible roots of the polynomial. C is our constant, 2, and d is the leading coefficient, 1. The factors of 2 are +/- 1 and +/-2. The factors for 1 are +/-1 only. Meaning, in all, there are 4 possibilities as roots for this polynomial. But there are only 3 total (because our polynomial is a third degree), so we have to find the first one, at least, from our possibilities above. Let's try x = -1, factor form (x + 1). If there is no remainder when we do the synthetic division, then -1 is a root. Put -1 outside the "box" and the coefficients from the polynomial inside: -1 (1 2 -1 -2). Bring down the first coefficient of 1 and multiply it by the -1 outside to get -1. Put that -1 up under the 2 and add to get 1. Multiply 1 times the -1 to get -1 and put that -1 up under the -1 and add to get -2. -1 times -2 is 2, and -2 + 2 = 0. So we have our first root of (x+1). The numbers we get when we do the addition along the way are the coefficients of our new polynomial, the depressed polynomial (NOT a sad one cuz it hates math, but a new polynomial that is one degree less than that of which we started!). The new polynomial is

. That can also be factored to find the remaining 2 roots. Use standard factoring to find that the other 2 solutions are (x+2) and (x-1). Our solutions then are x = -2, -1, 1, choice B from above.
1/3 / (5/6) = 1/3*6/5 = 2/5