3x+2 = 6x-13 what is x

Answers

Answer 1
Answer:

Step-by-step explanation:

3x + 2 = 6x - 13

3x - 6x =  - 13 - 2

- 3x =  - 15

x =  (15)/(3)

x = 5

Answer 2
Answer:

Answer:

x = 5

Step-by-step explanation:

Isolate x:

3x + 2 = 6x - 13

Subtract 3x from both sides:

2 = 3x - 13

Add 13 to both sides:

15 = 3x

Divide each side by 3:

5 = x


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Answers

Answer:ididnt ask

Step-by-step explanation:

yes

Solve for all values of b in simplest form. 13=|2b+12|

Answers

Answer:

b = 1/2, -12.5

Step-by-step explanation:

13 = |2b+12|

Case 1:

13 = |2b+12|

13 = 2b + 12

1 = 2b

b = 1/2

Case 2:

13 = |2b+12|

13 = - (2b + 12)

13 = -2b - 12

25 = -2b

b = -12.5

So, the answer is b = 1/2 & -12.5

Using a twenty sided number cube, what is the probability that you will roll an even number or odd prime number? the number 1 isnt an odd prime. round to three decimals. A) 0.85
B) 0.8
C) 0.9
D) 0.75

Answers

0.85 is the probability that you will roll an even number or odd prime number

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

A twenty-sided number cube has 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) and 7 odd prime numbers (3, 5, 7, 11, 13, 17, 19).

To find the probability of rolling an even number or an odd prime number

We need to calculate the total favorable outcomes (even numbers and odd prime numbers) divided by the total possible outcomes (numbers 1 to 20).

Total favorable outcomes = 10 (even numbers) + 7 (odd prime numbers) = 18

Total possible outcomes = 20

Probability = Total favorable outcomes / Total possible outcomes = 17 / 20 = 0.9

Hence, 0.85 is the probability that you will roll an even number or odd prime number

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

The perimeter is the sum of the lengths of the traingle. So,
P = 12x2 - 6
Plugging in the given value of x,
P = 12 (1.5)^2 - 6
P = 21 inches

Assuming that the ends of the straw are not overlapping in forming the triangle, the perimeter is just equal to the original length of the straw.

Ax+b=3(x-a) solve for x

Answers

Ax + b = 3x -3a
Ax- 3x = -(3a+b)
x(A-3) = - (3a+b)
x = - (3a+b) / (A-3)

Apply the distributive property.
ax+b=3(x)+3(−a)

Multiply 3 by x to get 3x.
ax+b=3x+3(−a)

Move −1. 
ax+b=−1⋅3a 

Multiply −1 by 3 to get −3. 
ax+b=−3a 

Replace back in to larger expression. 
ax+b=3x−3a 

Since 3x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 3x from both sides.
ax+b−3x=−3a

Factor out the GCF of x from each term in the polynomial.
x(a)+x(−3)=−b−3a

Factor out the GCF of x from ax−3x.
x(a−3)=−b−3a

Divide each term in the equation by (a−3).
x=−3a+b/a−3


Answer:
x=−3a+b/a−3

Three roots of the polynomial equation x4 - 4x3 - 2x2 + 12x + 9 = 0 are 3, -1 and -1. Explain why the fourth root must be a real number. Find the fourth root.

Answers

Hello,

P(x)=x^4-4x^3-2x^2+12x+9=0
P(3)=3^4-4*3^3-2*3²+12*3+9=81-108-18+36+9=0
P(-1)=(-1)^4 - 4*(-1)^3 -2*(-1)²+12*(-1)+9=1+4-2-12+9=0
P'(x)=4x^3-12x²-4x+12
P'(-1)=4*(-1)^3-12*(-1)²-4*(-1)+12=-4-12+4+12=0
(-1) is a double root
Ok 3,-1,-1 are roots.

If the 4th root is not a real but a complex (a+ib), its conjugate will be also a root , there would be 5 roots and not 4


So, the 4th root is real and equal to 3 ( a double root)

x^4-4x^3-2x²+12x+9=0
==> x^4+x^3-5x^3-5x²+3x²+3x+9x+9=0
==>x^3(x+1)-5x²(x+1)+3x(x+1)+9(x+1)=0
==>(x+1)(x^3-5x²+3x+9)=0
==>(x+1)(x^3+x²-6x²-6x+9x+9)=0
==>(x+1)[x²(x+1)-6x(x+1)+9(x+1)]=0
==>(x+1)²(x²-6x+9)=0
==>(x+1)²(x-3)²=0


P(x)=(x+1)²*(x-3)²