Solve for x: 5|2x − 2| + 8 = 18.x = 2, x = −2
x = −2, x = 0
x = 2, x = 0
x = 0, x = 1 over 2

Answers

Answer 1

Answer: remember
|x| makes x posotive
5|2x-2|+8=18
minus 8 both sides
5|2x-2|=10
divide both sides by 5
|2x-2|=2
assume
2x-2=2 and 2x-2=-2

2x-2=2
add 2
2x=4
divide 2
x=2

2x-2=-2
add 2
2x=0
x=0

x=0 or x=2

3rd choice

Answer 2

Answer:

Answer:

C. x = 2, x = 0

Step-by-step explanation:

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(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]

⇒ (x - 2)(x - 1)(x + 2)(x + 3)

Hence "The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".

To learn more about the roots of an equation,

brainly.com/question/12029673

#SPJ2

Answer:

Step-by-step explanation:

The given equation is:

$x^4+2x^3-7x^2-8x+12$

Now, (x-2) is a factor of the given equation, therefore

$(x-2)(x^3+4x^2+x-6)$

$(x-2)(x-1)(x^2+5x+6)$

$(x-2)(x-1)(x^2+3x+2x+6)$

$(x-2)(x-1)(x(x+3)+2(x+3))$

$(x-2)(x-1)(x+2)(x+3)$

Therefore, the other factors are (x-1), (x+2) and (x+3).

Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of -2/3 -3/2 2/3

Answers

2/3

Explanation;
Parallel lines have equal gradients.

Answer:

2/3

Step-by-step explanation:

Hope this helps

Simplify expression:
3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

Answers

$3^(-(4a+1))-3^(-(4a-1)) + 3^(-4a) =3^(-4a-1 )-3^(- 4a+1 ) + 3^(-4a)=\n \n=3^( -4a )*3^(-1)-3^( - 4a )*3^1 + 3^(-4a) =3^(-4a)(3^(-1)-3+1)=3^( -4a )*((1)/(3)-2)=\n \n=3^( -4a )*(-1(2)/(3))=3^( -4a )*(-(5)/(3))=3^( -4a )*(-5)*(1)/(3) =-5 *3^( -4a )*3^(-1)=\n \n =-5 *3^( -4a +(-1))=-5 *3^( -4a -1)$

Which of the following distributions describes the ratio of two variances drawn from the same normal population? a. F statistic b. Student’s t-test c. Chi-square d. Normal

Answers

Answer:

The distribution that describes the ratio of two variances drawn from the same normal population is a) F statistic.

Answer: THE ANSWER IS A (F STATISTIC)

Step-by-step explanation:

THE DISTRUBUTION THAT DESCRIBES THE RATIO OF TWO VARIANCE DRAWN FROM THE SAME NORMAL POPULATION IS A) f statistic

Which of the following demonstrates the commutative property across multiplication for 2× 10 × 7A. 10 ×7 × 2
B. 2 × (10 × 7)
C. (2 × 10) × 7
D. 2 + 10 × 7

Answers

Its A. Kelp dont you dare.

Hey there, commutative property is when you mix up the numbers but you will still the same answer. 2*10*7=140. 10*7*2=140. Therefore, the answer would be A. 10*7*2

Which expression is equivalent to 6(3x + 4)?1: 18x + 4
2: 18x + 24
3: 9x + 10
4: 9x + 4