M<A = m<C = 53
answer is B. 53
-------------
2x = 8
x = 4

answer
D. 4

--------------
y = 3x (1)
y + 12 = 6x so y = 6x - 12 (2)
from (1) and (2) you haev
3x = 6x - 12
3x = 12
x = 4
y = 4x = 4(3) = 12

answer
C. y = 12

8 0

2 years ago

What is the value of y in the equation 4x +3 y= 23 when x=2 , x=6

balandron [24]

Answer:

5, -⅓

Step-by-step explanation:

x = 2:

4x + 3y = 23

3y = 23 - 4(2)

3y = 15

y = 5

x = 6:

4x + 3y = 23

3y = 23 - 4(6)

3y = -1

y = -⅓

8 0

2 years ago

Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.

melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten from the factoring.

$x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0$ . Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

$x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}$

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).