Solve for x, y, and z. Show all your work.

Mathematics

1 answer:

hjlf2 years ago

5 0

Answer:

1. X= - -4+y-z/3

Step-by-step explanation:

1. -6x-2y+2z=-8

1. Subtract -2y+2z from both sides -6x-2y+2z-(-2y+2z)=-8-(-2y+2z)

1. Simplify -6x=-8+2y-2z

1. Divide both sides by -6 -6x/-6 = - 8/-6+ 2y/-6 - 2y/-6

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A claw arcade machine contains stuffed animals and mystery boxes. There are 51 items in the machine. Winning a stuffed animal ha

Oliga [24]

Answer: 34 stuffed animals & 17 mystery boxes.

First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.

The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.

17 x 2 = 34

As for the mystery boxes, you need to multiply it by one.

17 x 1 = 17.

In summary, the answer is 34 stuffed animals and 17 mystery boxes.

4 0

3 years ago

Enter the lengths of QS and TV<br><br>QS=<br>TV=

kicyunya [14]

3v + 2 = 7v
2 = 4v
1/2 = v

QS = 3v + 2
= 3(1/2)+ 2
= 1.5 + 2
= 3.5

TV = 7v
= 7(1/2)
= 3.5

5 0

2 years ago

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$