Select all of the equations that represent linear relationships.

5 + 2y = 13

y – 5 = 2(x – 1)

x = –4

Answer:

32 Books

Step-by-step explanation:

You know that the bookshelf is 2 feet long, and you know the book is 3/4 inches thick. To start you have to get a common measurement in this case we will use inches. You already know that 1 foot is 12 inches so 2 feet will be 24 inches. Next all you do is divide the 24 inches by 3/4 inches. This will give you 32 which is the total amount of books that can fit on the bookshelf.

Answer:

see explanation

Step-by-step explanation:

The solution to the equation

2x² + 3x + 4 = 0

Is where the graph crosses the x- axis ( that is y = 0 )

However, the graph does not intersect the x- axis , therefore the equation has no real solutions.

Answer:

D) 26 two-pointers and 15 three-pointers

Step-by-step explanation:

x= 2 pointers

y= 3 pointers

Make a system of equations:

x=41-y

2x+3y=97

Plug In:

2(41-y)+3y=97

82+y=97

y= 15 (three point shots)

Check:

15(3)=45

97-45=52

52/2=26

x=26 (2 point shots)

Answer:

22

Step-by-step explanation:

25+27+30+15+18+24+15 all divided by 7

Answer:

10/3 or 3 1/3

Step-by-step explanation:

Answer:

20.98in

Step-by-step explanation:

that is the answer

Answer:

571

Step-by-step explanation:

We solve using z score.

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 480

σ is the population standard deviation = 70

z = 1.3

Hence,

= 1.3 = x - 480/70

Cross Mulitiply

1.3 × 70 = x - 480

91 = x - 480

x = 480 + 91

x = 571

Therefore, Marulla's raw score is 571

Answer:

L ′(3, 4), M ′(6, 2), N ′(5, 0)

Step-by-step explanation:

just took test so theres the answer

Answer: 54 first box 4r+10 other box

Step-by-step explanation:

multiply 4 and 11 for how much he would pay for each ride then add 10 for the admission fee to get the equation if you don't know how many rides he goes on just put how much he pays times r then the admission fee (4r+10)

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

[tex]PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12} \right )^n - 1}{ \dfrac{i}{12}} \right)}[/tex]

Where;

PMT = The monthly payment

Therefore, we get;

[tex]PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12} \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8[/tex]

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

Answer: Acute- (2,3,3.5) Right-(2.5,6,6.5) obtuse- (7,8,12), (7,9,14)

Step-by-step explanation:

Answer:

Amount of nuts did Glenn use = 44 cups

Step-by-step explanation:

Recipe = 56 cup of nuts

He used 12 cup fewer nuts than in the recipe

what amount of nuts did Glenn use?

Cups of nuts used = Recipe - 12

= 56 - 12

= 44 cups of nuts

Amount of nuts did Glenn use = 44 cups

Answer:

16 / 81

Step-by-step explanation:

Between digits 0 ,1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

Prob (prime number) = Prime numbers / Total numbers ; Prime numbers = 1,3,5,7. So, Prob = 4 / 9

Prob (composite number) = Composite numbers / Total numbers ; Composite numbers = 2, 4, 6 , 8.  So, Prob = 4 / 9

Prob (Prime & Composite) = 4 / 9 x 4 / 9 = 16 / 81

Answer:

28 miles per gallon

560/20=28

Step-by-step explanation:

Plz give me brainliest

Number of miles a car travels are 28.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Number of gallons of gas = 20

A car with 20 gallons of gas can drive 560 miles

Based on the given conditions,

= [tex]\frac{560}{20}[/tex]

= 28

Hence, number of miles are 28.

Find out more information about division here

https://brainly.com/question/10850080

#SPJ2

Answer:

3

Step-by-step explanation:

y = -3x^2 + 5x + 3

                          ↑ this is "the number at the end/constant," and according to the question the number at the end/constant is the y-intercept

Thus, the y-intercept is 3.

Answer:

27,824

Step-by-step explanation:

i just calculated it.

here ya go! I hope this helps you! :)

Step-by-step explanation:

volume = [(15×11)+(½×15×8)] x 12

= (165+60) x 12

= 225×12

= 2,700 cm³

Answer:

31350cm^3

Step-by-step explanation:

1/2(5 x 9.5 x 11)

= 261.25

261.25 x 12

= 3135

3135 x 10 =  3135cm^3

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

[tex]2^2+3^2[/tex]

[tex]2^2=4[/tex]

[tex]3^2=9[/tex]

[tex]=4+9[/tex]

[tex]=13[/tex]

----------------------

hope it helps..

have a great day!!

Answer:

i can't explain how but the answer is:

3.98 * 10^8

Answer:

39.8 x 10^7

Step-by-step explanation:

Factor the expression

(8.8+3.1x10) x 10^7

Multiply

(8.8+31) x 10^7

Add

39.8 x 10^7

Hope this helps! If you need any other help lmk! :)

Answer:

The true statements are:

B and D.

Step-by-step explanation:

First, a linear function can be written as:

y = a*x + b

Such that a is the slope, and b is the y-intercept.

If we know that the graph of the function passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have a function that passes through the points (6, 7) and (10, 13), then if this function is linear, the slope is:

a = (13 - 7)/(10 - 6) = 6/4 = 3/2

Then the function will be something like:

f(x) = (3/2)*x + b

Knowing that the function passes through (6, 7), this means that:

f(6) = 7

Then:

(3/2)*6 + b = 7

3*3 + b = 7

9 + b = 7

b = 7 - 9 = -2

The function, if linear, is:

f(x) = (3/2)*x  - 2

Now let's read the statements:

A)  If the graph also contains the point (4, 4) then the function must not be linear.

If the point is a solution of the equation, then the function is linear.

If the point is not a solution of the equation, then the function is not linear.

f(4) = 4 = (3/2)*4  - 2

        4 = 3*2 - 2

        4 = 6 - 2 = 4

Then (4, 4) is a solution, so if the graph also contains the point (4, 4) the function can be linear. Then the statement "A" is false.

Now let's do the same analysis for the other statements:

B)  If the graph also contains the point (12, 16) then the function must not be linear.

F(12) = 6 = (3/2)*12 - 2 = 3*6 - 2 = 18 - 2 = 16

           6 = 16

(12, 16) is not a solution, so if the graph contains this point, the function is not a linear function, the statement is true.

C) If the graph also contains the point (1, 2) then the function could be linear.

f(1) = 2 = (3/2)*1 - 2 = 3/2 - 2 = -1/2

The point (1, 2) is not a solution, so if the graph contains this point, then the function can't be linear, so the statement is false.

D) If the graph also contains the point (8, 10) then the function could be linear.

f(8) = 10 = (3/2)*8 - 2

        10 = 3*4 - 2 = 12 - 2

        10 = 10

The point (8, 10) is a solution of the linear equation, so if the graph contains this point, the function could be linear, so the statement is true.

Answer:

2.796x10^10

Step-by-step explanation:

4.66x10^8 in one second

1 minute is equal to 60 seconds

Multiply 4.66x10^8 by 60

= 2.796x10^10

b)origin

The point of intersection (0, 0) is called the origin.

Hope it helps you

Answer:

D. 15 is correct.

I did the quiz.

Answer:

y=-6/5x -8

Step-by-step explanation:

slope is the same as gradient(m) so find the c in the equation y=mx+c using the point (-5,-2) which gives u -8 then substitute values of m and c in that very equation

Answer:

[tex]y=-\frac{6}{5}x-8[/tex]

Step-by-step explanation:

Same process as the other two lol

y= -(6/5)x+b

solve for b by plugging in the required coordinates

-2= -(6/5)(-5)+b

-2= 6+b

-8=b

put it all together

Answer:

341 SUVs

Step-by-step explanation:

56/345*2100= 7840/23 or around 341 SUVs

Hope this helped! :)

Answer:

B)53

Step-by-step explanation:

Given

6 7 13 20 33 [?] 86 139

The pattern of the sequence is given by adding previous number on the sequence + new answer to get the next answer

6 + 7 = 13

7 + 13 = 20

13 + 20 = 33

20 + 33 = 53

33 + 53 = 86

53 + 86 = 139

The next number on the sequence

86 + 139 = 225

139 + 225 = 364

And the pattern continues like that....

Answer:

equivalent expression.

−2(5+7g) is -10-14g or -14g -10