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1 year ago

The cube of the sum of a number and 3

Mathematics

1 answer:

Radda [10]1 year ago

8 0

The expression for the cube of the sum of a number and 3 is (x+3)³

<h3>What are algebraic expressions?</h3>

Algebraic expressions are simply defined as arithmetic expressions made up of variables, terms, coefficients, factors and constants

They may also be known to consist of certain mathematical operations, such as;

Parentheses
Addition
Subtraction
Division
Bracket
Multiplication, etc

Based on the information given, we have;

cube of the sum of a number and 3

Let the number be x

We have the expression to be;

x + 3

Find the cube

(x+3)³

Hence, the expression is (x+3)³

Learn more about algebraic expressions here:

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The complete question is;

Write the expression for The cube of the sum of a number and 3

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Brainliest and 20 pints please help

morpeh [17]

Step-by-step Explanation:

Part A: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.

Considering the data

Age (in years) Weight (in pounds)

2 32

6 47

7 51

4 40

5 43

3 38

8 60

1 23

Considering the slope intercept form

$y = mx + b$

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

Taking two points, lets say (2, 32) and (8, 60)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:32\right),\:\left(x_2,\:y_2\right)=\left(8,\:60\right)$

$m=\frac{60-32}{8-2}$

$m=\frac{14}{3}$

$y = mx + b$

$\:\:32\:=\:\left(\frac{14}{3}\right)2\:+\:b$

$\mathrm{Switch\:sides}$

$\left(\frac{14}{3}\right)\cdot \:2+b=32$

$b=\frac{68}{3}$

Thus

$y = mx + b$

$m=\frac{14}{3}$ and $b=\frac{68}{3}$

substituting in the slop-intercept form

$y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$

Therefore, $y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$ is the equation of the best fit line in slope-intercept form.

Part B: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

As the equation of line is

$y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$

So in order to find the weight of the little girl at an age of 14 years old, put

$x = 14$ in the above equation.

$y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$

$y=\left(\frac{14}{3}\right)\left(14\right)+\left(\frac{68}{3}\right)$ ∵ $x = 14$

$\:y=88$

Therefore, the approximate weight of the little girl at an age of 14 years old will be 88 pounds.

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Verdich [7]

Answer:

Step-by-step explanation:

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BartSMP [9]

Answer:

y=10x+57

Step-by-step explanation:

30pieces of candy/3 minutes=10 pieces of candy/minute (slope)

He has already eaten 57 pieces at x=0 minutes so this must be the Y-Intercept

Slope intercept form is y=mx+b

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b: y-intercept (57)

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

on halloween kaleb scored 34 pieces of gummi candy. he got 8 times as much sugar candy and 4 times as much chocolate candy. how

Lady bird [3.3K]

We can first find the number of different types of candy he got:

The number of sugar candy he got:

34×8
=272

The number of chocolate candy he got:

34×4
=136

We can then add them all up to find the total pieces of candy he got:

272+136+34
=442

Therefore, the answer is 442.

Hope it helps!

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3 years ago