The graph shows the number of books, y, Melissa read during the weeks of summer break, x. She also read several books during the school year.



Determine the equation that can be used to represent this situation.


y = 3x

y = x + 5

y = 3x + 15

y = x + 15

Answer:

The answer is

[tex] \huge \boxed{y = 3x - 10}[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, 4) and the slope is 3

The equation of the line is

[tex]y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4[/tex]

We have the final answer as

[tex]y = 3x - 10[/tex]

Hope this helps you

Answer:

100 thousandths

Step-by-step explanation:

Hope this helps:)

Percent - 24%

Decimal - 0.24

Fraction - 24/100=6/25

Answer:

15p^2. Hope this helps

Step-by-step explanation:

Answer:

People drank 75 cups, First find the amount of juice that Mrs. Jackson bought .Then subtract the 3 cups of juice that were left over

5 x 16=80

80-3= 77

Answer:

[tex] y - 2 = -3(x - 2) [/tex]

Step-by-step explanation:

Given that after she buys 2 lattes, she has $2 left, this represents a point on the line in the graph, which is (2, 2).

Point-slope form of equation for a line is given as [tex] y - b = m(x - a) [/tex]. Where,

(a, b) = a point on the line

m = slope

The equation of the line in point-slope form is given by the formula, [tex] y - b = m(x - a) [/tex], where,

(a, b) = coordinates of a point on the line.

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

We already have values for (a, b) = (2, 2), let's find the slope (m).

Using (2, 2) and any point on the line, such as (0, 8), we can find the slope as follows:

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{0 - 2} [/tex]

[tex] = \frac{6}{-2} [/tex]

[tex] m = -3 [/tex]

Now we know that a = 2, b = 2 , and m = -3. Let's plug in this values into the point-slope equation as shown below:

[tex] y - b = m(x - a) [/tex]

[tex] y - 2 = -3(x - 2) [/tex]

Answer:

Step-by-step explanation:

[tex]1-\frac{4}{2\cdot \:7+4}\\\\\frac{4}{2\cdot \:7+4} = \frac{2}{9} \\\\=1-\frac{2}{9}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot\:9}{9}\\\\=\frac{1\cdot \:9}{9}-\frac{2}{9}\\\\Since\:the\:denominators\:are\:equal,\\\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{1\cdot \:9-2}{9}\\\\1\cdot \:9-2 =7\\\\=\frac{7}{9}[/tex]

Answer:

36

Step-by-step explanation:

half of 8 is 4 so half of 24 is 12 and 12 plus 24 is 36

Answer:

$36

Step-by-step explanation:

First divide the $24 to find how much each tennis ball costs.

24 / 8 = 3

Then multiply 3 (the cost per tennis ball) by 12 (the amount of tennis balls)

3 x 12 = 36

36 is your answer

Answer:

(1,4) and (0,-1)

Answer:

(2x + 3) • (x + 2) • (x - 1)

Step-by-step explanation:

Answer:

a. -10 + 8

b. -20 +10

c. -20 + 20

d. -20 +5

Step-by-step explanation:

can u give me brainliest please?? :>

Answer:

my name is keff 4

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

Answer:

a) Demand equation :[tex]y=-\frac{2}{25}x+725[/tex]

b) Supply equation : [tex]y=\frac{7}{100}x+350[/tex]

C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively

Step-by-step explanation:

We are given that  For each decrease in unit price of $20 below $485, the quantity demanded increases by 250 units.

Since decrease in unit price of $20 increase demand by 250 units

So, Slope =[tex]\frac{-20}{250}=\frac{-2}{25}[/tex]

We are given that The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485.

Now for demand equation:

Use point slope form : [tex]y-y_1=m(x-x_1)[/tex]

So, [tex]y-485=\frac{-2}{25}(x-3000)\\y=-\frac{2}{25}x+725[/tex]

a)So, Demand equation : [tex]y=-\frac{2}{25}x+725[/tex]

Now to find supply equation

We have two points (0,350) and (2500,525)

[tex](x_1,y_1)=(0,350)\\(x_2,y_2)=(2500,525)\\y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-350=\frac{525-350}{2500-0}(x-0)\\y-350=\frac{7}{100}x\\y=\frac{7}{100}x+350[/tex]

b) So, Supply equation : [tex]y=\frac{7}{100}x+350[/tex]

Now to find equilibrium quantity and price equate demand and supply equation

[tex]-\frac{2}{25}x+725=\frac{7}{100}x+350\\725-350=\frac{7}{100}x+\frac{2}{25}x\\x=2500[/tex]

So, equilibrium quantity = 2500

To find equilibrium price substitute equilibrium quantity in any equation

[tex]y=\frac{7}{100}x+350\\y=\frac{7}{100}(2500)+350\\y=525[/tex]

C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively

Answer:

35/5 and 60/30

Step-by-step explaning

i got it right on enginuity

Answer:

35/5 and 60/30

There are 5 spaces and 2 slots, so there are 5*5 = 25 different outcomes.

Think of a table that has 5 rows and 5 columns. There would be 25 cells in this table. Each cell is a different outcome.

The probability tree would have 5 branches on the upper level. Then for each upper branch, there are 5 lower sub-branches. Add up all the possible paths and you should find 25 total paths (each path representing a different outcome).

Answer:

interest rate= 4.5%

Step-by-step explanation:

steve paid back=7945

loan------------------7000

total interest for 3 years=945

for one year-----------------=315

rate of interest= (315 X 100)/7000= 4.5%

Answer: m = -3/2

Step-by-step explanation: In algebra, we use the word slope

to describe how steep a line is and slope can be found using

the ratio rise/run between any two points that are on that line.

Let's start from the point (0, 0).

From this point, we go down 3 units and to the right 2 units.

So our rise is -3 and our run is 2.

So our slope or rise/run is -3/2.

The variable that's used to represent slope is m.

So we say that m = -3/2

Answer:

-3/2

Step-by-step explanation: Rise 3 from the first (lower) dot then run 2 to the higher dot. Its negative because it is going down from left to right.

Answer:

k=2   k=-8

Step-by-step explanation:

Answer:

Vertex

Step-by-step explanation:

I think

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Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

To determine if the set of vectors is linearly independent, we need to check if any of the vectors can be expressed as a linear combination of the others.

Let's consider the first vector [8 -6 4].

If we try to express this vector as a linear combination of the other vectors, we get:

[8 -6 4] = a[12 -9 6] + b[0 0 0]

where a and b are constants.

We can immediately see that this equation has infinite solutions, because the third component of the second vector is zero, which means we can choose any value for b and still satisfy the equation.

Therefore, the set of vectors is linearly dependent.

Hence, Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.

To learn more on Matrices click:

https://brainly.com/question/28180105

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Determine by inspection whether the vectors are linearly independent. Justify your answer.

[8  -6  4][12  -9  6]

A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. ​(Type an integer or a simplified​ fraction.)

B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. ​(Type an integer or a simplified​ fraction.)

C. The set of vectors is linearly dependent because one of the vectors is the zero vector.

D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.

Step-by-step explanation:

6 goes in ones or the green

3 goes in tenths or the yellow

2 goes in hundreths or the purple

4 goes in thousands or the orange

Answer: 6 goes in the ones then the 3 goes tenths 2 in hundredths and 4 in the thousands

eight hundredths six tens three ones decimal one tenths four hundredths one thousand

Step-by-step explanation:

Answer:

y=1/8x + 15

Step-by-step explanation:

y=1/8x+15 because 1/8 hours and add 15

Answer:

13

Step-by-step explanation:

because a is the missing number. Well, 21 minus or -  8 is equal to 13.

Answer:

it is stq utv

Step-by-step explanation:

Answer:

its top right option

Step-by-step explanation:

Answer:

1 x 1 = 1

Step-by-step explanation:

Anything that is multiplied by 1, is going to stay the same

Example would be 1 x 5

that would equal 5

Hope this helped<3

Answer:

it is one, no matter what

Step-by-step explanation: if u take on and make it bigger (multiply it) one time, u still only get one!!

Brainliest please!! Have a great day!!

Answer:

5,12

Step-by-step explanation:

because 7-2 is 5 and it would take 12 to get to 7