Which of the following best describes the equation below?

Anyone ?? will mark as brainliest

Komok [63]

$5+5(x+4)\leq20\\\\
5(x+4)\leq15\\\\
x+4\leq3\\\\
x\leq-1$

6 0

2 years ago

Read 2 more answers

Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

$x+\frac{120}{x}=-22$

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether. Do this by multiplying everything by x to get

$x^2+120=-22x$

Get everything on one side of the equals sign and factor:

$x^2+22x+120=0$

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

$x^2+12x+10x+120=0$

Use factoring by grouping now.

$(x^2+12x)+(10x+120)=0$

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0. Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which. They are not asking you to specifically define x and y. They are asking you to find the numbers, and you did!

6 0

2 years ago

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

emmasim [6.3K]

Answer: $200\ cm^3$

Step-by-step explanation:

Given

The dimension of the rectangular prism is

$l=5\ cm\\w=10\ cm\\h=4\ cm$

The volume of the prism is given by $V=l\times w\times h$

$\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3$

Therefore, the volume of the prism is $200\ cm^3$ .

7 0

2 years ago

Simplify each expression (mx+2ny+z) and (y^3-zx^3)(-yz) AND 4xy^3(x^4y-5x)

Sliva [168]

Answer: mx+2ny+z −zy4−zx3 4xy3x4y−5x

Step-by-step explanation:

there u go

8 0

3 years ago

The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set. Create a histogram

alexdok [17]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required lengths are not given.

I will use the following data set to answer the question.

$Dataset: 35, 51, 39, 42, 68, 62, 32, 59$

First, is to determine the range of the dataset

$Range = Highest - Least$

$Range = 68 - 32$

$Range = 36$

Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval

$Class= Range/10$

$Class = 36/10$

$Class = 3.6$

$Class \approx 4$

So, we use 4 classes

Plot the frequency distribution table as follows:

$\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}$

See attachment for histogram

5 0

2 years ago