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3 years ago

Do i combine like terms ? 5x+3=10x-2

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:

Yes, in order to solve equations make sure to collect terms together - usually this makes the problem a lot easier to solve!

So subtract 5x from both sides to get

3 = 5x - 2

add 2 to both sides to get

5x = 5

now divide both sides by 5 to get

x = 1

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Daltons dad rode 1 kilometer north 2 kilometers west 1 kilometer south and 2 kilometers east. Dalton rode the same path 5 times

Fynjy0 [20]

Answer:

Dalton didn't ride any kilometer farther since he keeps threading in the same path as that of his father.

Step-by-step explanation:

If Dalton's dad rode 1 kilometer north, 2 kilometers west 1 kilometer south and 2 kilometers east, then he has been moving in a rectangular path.

If Dalton rode in the same path 5times, then Dalton's has not move farther than his dad since he is still moving in the same rectangular path. He is only expending more energy.

Their final destination will still be the same for both of them no matter how many times Dalton keeps threading in the same path.

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3 years ago

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Kyle solved 18 of 24 puzzles ina puzzle book. He says that he can use an equivalent fraction to find the percent of puzzles in t

Rashid [163]

$\frac{18}{24} = \frac{9}{12} = \frac{3}{4}$
The percentage is 75℅

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3 years ago

The sum of the digits of a two-digit number is 13. The units digit is one more than twice the tens digit. Find the number, and..

SCORPION-xisa [38]

Answer:

1)49

2)231

Step-by-step explanation:

4+9=13

4*2=8

8+1=9

2+3+1=6

2+1=3

1*2=2

8 0

3 years ago

Read 2 more answers

I NEED HELP ASAP!!!!!

MAXImum [283]

Answer:

Part A)

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Part B)

$y=6x+10$ is the function that bets fits the data.

Part C)

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be $6x$ .

The y-intercept defines that for the total number of units produced $y$ by $x$ number of workers, $10$ units would be added.

Step-by-step explanation:

Part A)

We know that

Negative correlation means when one variable decreases, then the other variable also decreases.

Positive correlation means when one variable increases, then the other variable also increases.

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Thus, the two variables i.e. Number of employees (x) and Number of Products (y) will have positive correlation.

Please check the attached graph in figure a to determine that the positive correlation as the value of variable $x$ increases when the value of variable $y$ also increases.

Part B)

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

As we know that the point slope form

$y=mx+b$

where $m$ is the slope and $b$ is the y-intercept.

Lets take the point (0, 10) and point (200, 1210)

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

$m=\frac{1210-10}{200-0}$

$m=\frac{1200}{200}$

$m=6$

$y-y_{1} = m(x-x_{1})$

$m = \frac{y-y_{1}}{x-x_{1}}$

Taking any point, let say (25, 160), and putting in

$m = \frac{y-y_{1}}{x-x_{1}}$

$6\:=\:\frac{y-160}{x-25}$

$y=6x+10$

Hence, $y=6x+10$ is the function that bets fits the data.

Part C)

As we have determined the equation

$y=6x+10$

Here,

Slope = m = 6
y-intercept = 10

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be $6x$ .

The y-intercept defines that for the total number of units produced $y$ by $x$ number of workers, $10$ units would be added.

Keywords: slope, function, linear function, correlation

Learn more about correlation from brainly.com/question/14688591

#learnwithBrainly

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3 years ago

Which represents a quadratic function

mr_godi [17]

Answer:

A quadratic function is one of the form $f(x) = {ax}^{2} + bx + c$ , where $a$ , $b$ , and $c$ are numbers with a not equal to zero. The graph of a quadratic functionis a curve called a parabola

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4 years ago