In Mr. Rojo’s art class, students are asked to create an orange background for their new painting. They mixed red paint and yellow paint to create a shade of orange. The table shows the number of pints of red paint, y, and yellow paint, x, different students used to create the orange color. Pints of Yellow (x) Pints of Red (y) 2 3 3 4.5 4 6 6 9 Identify the equation that relates the number of pints of red and yellow paint used. x=1.5y y=1.5x y=4.5x x=4.5y

Answer:

[x]   f(x)

[-6]  13

[-3]   4

[0]   1

[3]   4

[9]   28

Step-by-step explanation:

f(0) = (1/3)(0^2)+1 = 1

f(3) = (1/3)(3^2)+1 = 4

f(9) = (1/3)(9^2)+1 = 28

Answer:

Step-by-step explanation:

It is comes under geometric sequence;

40 , 80 , 160 ,320 , ........

First term = a = 40

Common ratio = r = 2

nth term = [tex]ar^{n-1}\\[/tex]

Number of sheep on the farm by the end of each year = [tex]40*(2)^{n-1}\\[/tex]

Answer:

the answrr is option a 9

Answer:

3/10

Step-by-step explanation:

1/5 of total income - spent on car

remainder income = 4/5

3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)

the word "of" means you can find it by multiplication

e.g. 2 of 1/2 means 2 × 1/2 which is 1

Answer: C) ŷ = 0.06X + 4

Step-by-step explanation:

Given the following :

Number of minutes since Rahul got online :

0 - - - - - 2 - - - - - 4 - - - - - 6 - - - - - 8

Total amount paid :

4.0 - - - 4.12 - - - 4.24 - - - 4.36 - - - 4.48

Using the online regression calculator to create a linear model with number of minutes since Rahul got online on the x-axis and the total amount paid on the y-axis :

The linear model obtained is : ŷ = 0.06X + 4

With y being the predicted variable

X = values of the independent variable

0.06 = gradient or slope of the line

4 = intercept

Answer:

Step-by-step explanation:

Given: <AOB and an interior point D.

Prove: a point, D, in the interior of an angle is equidistant from the sides of the angle, then it belongs to the angle bisector of the angle.

Join D to A and B, then;

OA ⊥ AD (right angle property)

OB ⊥ BD (right angle property)

AD = BD (angle bisector theorem)

<AOD = <BOD (congruent angle property)

ΔAOD = ΔBOD (congruence property of triangles)

Therefore, point D lies on the bisector of <AOB.

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        = [tex]\frac{5-0}{-3-2}[/tex]

                        = -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

the first one is : -1

the second one is: y-5 = -1 ( x + 3)

the third one is: -x + 2

the first one to the right side is: 0,2

and the second one on the right side is: x+y=2

your welcome

Answer:

The first relation is not a function.

Step-by-step explanation:

If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.

The first relation is not a function.

Answer:

15 units

Step-by-step explanation:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - (-6))² + (8 - 8)²]

d = √[(15²) + (0²)]

d = √15²

d = 15

Answer:

15 units

Step-by-step explanation:

9-(-6) = 15

Answer:

D

Step-by-step explanation:

From the graph, the solutions are x = -2 and x = 3, therefore, the equation must be (x - (-2)) * (x - 3) = (x + 2)(x - 3).

Answer:

B & C

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

● 2-a > -12+4

●2-a > -8

Substract 2 from both sides

● 2-a-2 > -8-2

● -a > -10

Multiply both sides by -1 and switch the sign

● a < 10

So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .

Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2

hope this helps!

Hey there! I'm happy to help!

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PART A

We see that our bowler gets a strike 25% or 1/4 of the time. This means he has a 75% chance of not getting a strike. To find the probability of him getting five strikes, we use multiplication rule, which says that if you multiply the probability of one event by another it equals the probability of both events occurring.

However, this time, we have twenty separate throws, and we have to multiply all of the probabilities of a certain event happening on each roll. This means that we will multiply five 25%s to signify the five strikes and 15 75%s to represent the 15 times he misses and this will give us the probability of this event happening. I will put these in decimal form for now and then convert it back. I will also use exponents so I don't have to write out the entire thing.

P(5 strikes)=0.25^5×0.75^15≈0.000013=0.0013%

The probability of him getting five strikes is 0.0013%.

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PART B

To find the answer, we will first need to find the probability that he makes no strike at all, which will 75% multiplied 20 times.

P(no strike)=0.75^20≈0.003171211938934

We see that the percentage of the bowler getting a strike is 25%, while a miss is 75%. These add up to 100%. If these add up to 100%, then so should to probabilities of making at least one strike and making no strike at all!

100%-0.003171211938934%≈99.999682%

Basically, with twenty throws, he is guaranteed to make at least one strike with a probability of about 99.99%.

I hope that this helps! Have a wonderful day!

Answer:

(-1,1), (1,3), (2,2)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 1/3 --> 1/3(x, y)

Before-> After dilation

1/3(-3,3) = (-1,1)

1/3(3,9) = (1,3)

1/3(6,6) = (2,2)

Please leave a 'thanks' if this helps!

Answer:

  arithmetic, finite

Step-by-step explanation:

Each term is 1 more than the previous term, so there is a common difference of 1. That means the series is arithmetic.

The entire series consists of the 10 terms shown, so the series is finite.

_____

If each term were multiplied by some number to get the next, then it would be a geometric series. If it went on forever, it would be an infinite series.

Answer: 63 degrees.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Therefore: 54 + y + y = 180

So 54 + 2y = 180

So 2y = 126

Therefore y = 63 degrees.

Answer:

The answer is D: the number of candies in a box.

Step-by-step explanation:

Answer:

D) number of candies in a box

Step-by-step explanation:

Answer:

5|x+2|-1

Step-by-step explanation:

Evidence is included

Hey there! :)

Answer:

m∠QPR = 25°.

Step-by-step explanation:

Given:

m∠QPS = 40°

m∠RPS = 8x + 7°

m∠QPR = 9x + 16°

m∠QPS = m∠RPS + m∠QPR, therefore:

40° = 8x + 7° + 9x + 16°

Combine like terms:

40° = 17x + 23°

Subtract 23° from both sides:

17° = 17x°

Divide both sides by 17:

x = 1°

If m∠QPR = 9x + 16°, substitute in 1 for 'x':

9(1) + 16 = 9 + 16 = 25°.

We need to find the value of x.

If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.

Now substitute the measures into the equation.

9x + 16 + 8x + 7 = 40.

Now combine like terms to get 17x + 23 = 40.

Now subtract 23 form both sides to get 17x = 17.

Now divide both sides by 17 to find that x = 1.

Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.

So we have 9(1) + 16 which is 25.

So m<QPR is 25°.

Answer:

8 and 8/35

Step-by-step explanation: simplify the equation hope this helps:)

Answer:

9 27/35

Step-by-step explanation:

3 3/5 * 2 5/7

Change each to an improper fraction

( 5*3 +3)/5  * ( 7*2+5)/7

18/5 * 19/7

342/35

Change back to a mixed number

35 goes into 342 9 times

342-315 = 27   with 27 left over

9 27/35

Answer:

A) C

B) 47 inches

Step-by-step explanation:

A)  The range on the horizontal axis is 0 to 5, we cannot tell how many students collected the exact number of bottles.

The correct option would be the number of students who collected exactly 4 bottles.

B) The mean of a data set is written as:

[tex]mean = \frac{sum \: of \: terms}{number \: of \: terms}[/tex]

[tex]mean=\frac{45+48+49+40+53}{5}[/tex]

[tex]mean=\frac{235}{5}[/tex]

[tex]mean=47[/tex]

The average height of the students is 47 inches.

Answer:

A & B

Step-by-step explanation:

Let's set this up in equation form!

We know that 15 equals b and 8 together.

15 = b + 8

b = 7

The value of b that makes the equation true is 7.

Hope this helps!! :)

Answer:

21 and 67

21<x<67

Step-by-step explanation:

The smallest side with two sides of 23 and 44 must be more than 44-23=21

The largest side with two sides of 23 and 44 must be less than 44+23=67

So the range is between 21 and 67.

As an equation, it would be 21<x<67

Answer:

21 and 67

21<x<67

Step-by-step explanation:

Answer

the answer is (-3,-5)

Step-by-step explanation:

Step-by-step explanation:

1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]

2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].

Answer:

8

Step-by-step explanation:

If you want the dot product, here it is:  (0)(0) + (-2i)(4i) = 8

Answer:

f(4) = 4

Step-by-step explanation:

We have x = 4 so we use the middle line of the piecewise function since 0≤x≤4

f(x) = x

f(4) = 4

Answer: 2:3

Step-by-step explanation:

2:5,

3+2=5, which is the total amount,

2 is the number of white chocolate candies

Answer:

y-3=-2(x+0)

Step-by-step explanation:

Answer:  see below

Step-by-step explanation:

Use the slope (m) formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let (x₂, y₂) = (2, -1) and (x₁, y₁) = (0, 3)

[tex]m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2[/tex]

Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (0, 3):

y - 3 = -2(x - 0)      -->    y - 3 = -2x

Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (2, -1):

y - (-1) = -2(x - 2)      -->    y + 1 = -2(x - 2)