Mathematics High School

Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: If the product of x and 3 is y, write an equation to represent the relationship between the two variables.

Part B: Explain your work in Part A.

Part C: Create a table of values to display five solutions to the equation. Write the solutions as ordered pairs.

Answers

Answer 1

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Related Questions

PLEASE HELP ME ASAP AND PLEASE DONT GUESS!!

Answers

Answer:

the 3rd one is the answer .

Step-by-step explanation:

Hope it was helpful .

I need this done, please

Answers

Ansewer : H - The mode of the number of miles Ian skated each day in July is less than the mode of the number of miles Ian skated each day in august

Find the derivative of
y= 1/(3x^3)

Answers

Answer:

[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{1}{3x^3}[/tex]

Step 2: Differentiate

Rewrite: [tex]\displaystyle y = \frac{x^{-3}}{3}[/tex]Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-3}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-3x^{-4})[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{x^4}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

3 drinks and 2 hot dog costs 7.70 and 2 drinks and one hot dog is 4.55 system of equation on drink and one hot dog to the nearest cents

Answers

Answer:

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

Step-by-step explanation:

Let drink = x ; hot dog = y

3x + 2y = 7.70 - - (1)

2x + y = 4.55 - - - (2)

From (2)

y = 4.55 - 2x - - - (3)

Put y = 4.55 - 2x in (1)

3x + 2(4.55 - 2x) = 7.70

3x + 9.1 - 4x = 7.70

-x = 7.7 - 9.1

-x = - 1.4

x = 1.4

Put x = 1.4 in (3)

y = 4.55 - 2(1.4)

y = 4.55 - 2.8

y = 1.75

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

Plz helpp I’m bad at math

Answers

Answer:

Step-by-step explanation:

because a straight line is 180 degrees so 140 plus 40 equals 180

Answer:

Step-by-step explanation:

straight line is 180 degrees

180=140+x

140+40=180

The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation

Answers

Answer:

Step-by-step explanation:

let x be the population

so we have ,

2x= 6h

?= 3 days or 3×24h

by cross multiplication we have

2x× 72h= 6h×?

?= 2x×72/6 = 24x

So, in three days the bacteria will b 24 times current population.

I'm so stuck I was taught this 5 months ago I don't remember this lol.

Answers

Answer:

C. 24 12/20

Step-by-step explanation:

4 3/4 × 6 4/5

24 3/4 × 4/5

24 12/20

Is 8 a solution to the equation 3(x-6)=3x/4?

Explain your answer

Answers

yes,
both sides equal 6

I need help on 13 and 14, you will get 25 points with brainlyist!!!

Answers

Answer:

14 is C and 13 is also C

Step-by-step explanation:

so 14 and 13 a both C

mark brainliest or give 1 heart and 5 stars or maybe both

Which of the following statements are true?

A) 3 lbs of sugar is sugar is required to make 60 muffins.

B) 120 lbs of sugar is required to make 6 muffins.

C) 0 lbs of sugars required to make 0 muffins.

D) The maximum number of muffins that can be made is 220

Answers

Answer:

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Help plsssssss:)))))))

Answers

Answer:

x = -14

Steps:

Rewrite the equation as -8 = 6+x

Then move all terms not containing x to the right side of the equation.

x = -8-6

Afterwords subtrack.

x = -14.

hope this helps :)

answer is x= -14. hope this helped!

A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.

Answers

Answer:

55.64

Step-by-step explanation:

The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses

We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

= 11,236 - 8,464

= 2,772

= √2,772

x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

≈ 55.64 feet

Step-by-step explanation:

the answer to the nearest is 55.64

Which addition does the model below represent?
+
+
+
+
OOO
8+(-3)
2+(-3)
5+3
5+(-3)

Answers

Answer:

5 + (-3)

Step-by-step explanation:

there are 5 positives and 3 negatives

so when you add them together you get 5 + (-3)

SOMEONE PLEASE HELP!!!!! I’m not quite sure

Answers

Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest

Step-by-step explanation:

Find a unit vector in the direction of the given vector.
v = 9i − 6j

Answers

Given:

The given vector is:

[tex]v=9i-6j[/tex]

To find:

The unit vector in the direction of the given vector.

Solution:

If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is

[tex]\hat v=\dfrac{v}{|v|}[/tex]

Where, [tex]|v|=\sqrt{a^2+b^2[/tex]

We have,

[tex]v=9i-6j[/tex]

Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,

[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]

[tex]|v|=\sqrt{81+36}[/tex]

[tex]|v|=\sqrt{117}[/tex]

[tex]|v|=3\sqrt{13}[/tex]

Now, the unit vector in the direction of the given vector is:

[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]

Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].

Simplify 15.6 divided by negative 3..

Answers

Answer:

-5.2

Answer:

B: y = 3x + 6

The equation would be y=3x+6

you can plug in to test answer

6=3(0)+6
18=4(3)+6
27=7(3)+6
42=12(3)+6

PLZS HELP NEED BY TODAY!!

Answers

X=20. Because that line is 180 and u subtract 40 and u do 140/7= 20

Answer:

20°

Step-by-step explanation:

ok so if 40 degrees is on one side its also on the side parallel from it

a straight line = 180 degrees

so 180 - 40 = 140

so 7x =140

we now divide 7 on both sides and get x=20 because the 7 cancels out

180 -40 =140

7x = 140

7x/7 =140/7

x=20

Hope I helped?

53+2444= ??????? HELP I D K THE ANSWER

Answers

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Kara's playlist has three songs: • "Each Day" (3 minutes) • "Best Friends" (3 minutes) • "This Weekend" (2 minutes) How many times can Kara listen to her entire playlist during a 35-minute car ride?

Answers

Answer:

4 times

Step-by-step explanation:

3+3+2=8

8*4=32

She can listen to part of her playlist in those extra three minutes, but the question asks for the ENTIRE PLAYLIST

This is for now I need help pls !!!!!!!

Answers

10 in would be iquviletnt to 30 but you do 30 so I belive it would be 50

Which expression represents the perimeter of the figure below? *
2x + 4 y

w + 2x + 4y

w + x + y

2w + 2x + 4y

Answers

Step-by-step explanation:

Perimeter of figure =

[tex]w + x + x + y + y + y + y \\ = 1 \times w + 2 \times x + 4 \times y \\ = w + 2x + 4y[/tex]

G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4

Answers

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

. Find the indicated term of the arithmetic sequence.

Find a_23 in the sequence -18,-34,-50,-66,…

Answers

Answer:

Hello . ♡

The answer to your question is : −370 .

Step-by-step explanation:

Hope this helps u ;)

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