Graph the data.

Find and interpret the slope of the line through the points.

Answer:

B. [tex]-1 \le x \le 3[/tex]

Step-by-step explanation:

The domain is the possible x- values of a function. The x- values of this graph range from -1 to 3, so the answer is B.

Chef Alfredo made the investment 4 years ago.

To solve this problem, we have to use the formula of simple interest.

Data;

The formula of simple interest is given as

[tex]S.I = \frac{PRT}{100}[/tex]

Let's subtract the principal from the final amount to know the simple interest

[tex]6000-4800=1200[/tex]

Substitute the values into the formula

[tex]s.i=\frac{prt}{100} \\1200=\frac{6000*5*t}{100}\\ 1200*100=6000*5*t\\120000=30000t\\t = 4[/tex]

The time he made that investment was 4 years ago

Learn more on simple interest here;

https://brainly.com/question/20690803

Answer:

1820

Step-by-step explanation:

n = 16

r = 4

(16)C(4) = 1820

Answer:

  A. 4,5

Step-by-step explanation:

No x-value can be repeated if the relation is to remain a function. The x-values already in the table are {-4, -2, 0, 2}. This list eliminates all answer choices except the first one: (4, 5) may be added to the table.

Answer:

a = 21°

b = 70°

c = 89°

Step-by-step explanation:

a = 21° as vertically opposite angles are equal

to work out b:

angles on a straight line add up to 180

b + 110 = 180

b = 180 - 110

b = 70°

to work out c:

the sum of angles in a triangle add up to 180

we have a and b

21 + 70 + c = 180

91 + c = 180

c = 180 - 91

c = 89°

Answer:

y = -2x + 3

Step-by-step explanation:

[]Let us write an equation in slope-intercept form.

-> See attached

-> Our equation will start out as y = x

[] The slope can be found by taking the change in y divided by the change in x

-> [tex]\frac{-3-1}{3-1}=\frac{-4}{2}=\frac{-2}{1}=-2[/tex]

-> Now our equation is y = -2x

[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.

-> y = -2x + b

(1) = -2(1) + b

1 = -2 + b

3 = b

-> Now our equation is y = -2x + 3, which is our final answer.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

y = -2x +3

Step-by-step explanation:

coordinates given (1,1) and (3,-3)

How to find equation? first find slope.

slope formula:

(y2-y1)/(x2-x1)

using this formula:

(-3-1)/(3-1)

-4/2

-2 ........this is slope also refereed as (m) in short form.

Use the formula:

y - y1 = m( x - x1)

using the formula:

y - 1 = -2( x - 1)

y -1 = -2x + 2

y = -2x +3

Answer:

y=3x.

Step-by-step explanation:

simplified, it should be -8.5n+8.5

Answer:

11,990

9% of 5500 is 495

(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.

Hope it helps

Answer:

f(-2) =-32

Step-by-step explanation:

f(x) = 5x* - 3x² + 6x + 2. f(-2)

f(-2) = 5(-2) - 3([tex]-2^{2}[/tex]) + 6(-2) + 2

f(-2) = -10 - 3(4) -12 + 2

f(-2) = -10 - 12 -12 + 2

f(-2) = (-10 - 12 -12) + 2

f(-2) = (-10 -24) + 2

f(-2) = (-34) + 2

f(-2) =-32

Hope that helps!

Answer:

[tex] \boxed{f( - 2) \: is \: - 32}[/tex]

Step-by-step explanation:

f(x) = 5x - 3x² + 6x + 2

f(-2) ?

substitute -2 as x into the equation of the function

f(-2) = 5(-2) - 3(-2)² + 6(-2) + 2

[tex]f( - 2) = - 10 - 3.4 + ( - 12) + 2[/tex]

[tex] f( - 2) = - 10 - 12 + ( - 12) + 2[/tex]

[tex] f( - 2) = - 22 - 12 + 2[/tex]

[tex]f( - 2) = - 32[/tex]

Answer: No, it's not the solution

Explanation:

Let's plug x = -5 into the second equation

y = 2x+10

y = 2(-5)+10

y = -10+10

y = 0

This shows that (-5,0) is the actual solution, instead of (-5,2)

Answer:

4/15

Step-by-step explanation:

They have baked 1/3 + 2/5. To add you need common denominators.

1/3 = 5/15,     2/5 = 6/15

5/15 + 6/15 = 11/15. This is what they baked.

To find what is left, we need to subtract from 1.  1 = 15/15

15/15 - 11/15 = 4/15

The expression to describe the situation is $1500m, which represent the total amount you’ve earned.

Expressions can be regarded as the mathematical statements which posses  two terms  or more as well as  numbers or variables, along with an operator.

sincere the total earning is $1500 a month,Then it can be expressed in term of m as   $1500m

learn more about expression at: https://brainly.com/question/723406

#SPJ9

Answer:

20.5 : 61.5

Step-by-step explanation:

1:3

1 + 3 = 4

82 ÷ 4 = 20.5

ratio of 1:3

1 × 20.5 = 20.5

3 × 20.5 = 61.5

20.5 : 61.5

Answer:

a. 60%

b. increase

Step-by-step explanation:

To find the percentage, you can divide 72 by 45 to get the decimal increase, or 1.6. Percentage rates are decimals, and you can think about this like coloring 60 circles out of 100, representing 60% of 100. Since 72 is higher than 45, this was a percentage increase.

Answer:

135,000

Step-by-step explanation:

1.5 hour means 90 minutes

1500 * 90 = 135000

The greatest number for circle B is letter E

Answer:

75

Step-by-step explanation:

for the square in the middle, 7x4=28

for the triangles on the left and right 7x5=35 and since there are two of them you dont need to divide by 2

for the triangles on top and bottom, 3x4=12 and also 2 of them so you dont need to divide by 2

then just add it all up

Answer:

A. f + y ≤ 11

17f + 287 ≤ 242

Step-by-step explanation:

[] Let f be football players and v be volleyball players.

-> The total time must be less than or equal to 242 seconds.

-> If football players talked for 17 seconds, we can write it as 17f.

-> If volleyball players talked for 28 seconds, we can write it as 28v.

[] Coming back to the first point I made, the total time must be less than or equal to 242 seconds.

-> 17f + 28v ≤ 242

[] This is going to be a part of our system of inequalities

-> Because of this, we rule out the following options.

B & D - the football players talk for 17 seconds, not the volleyball players

C ​ - not less than or equal too, only less than

[] This leaves us with the option of A.

-> The first part of it also works. If 11 players can talk to the crowd, then the total of f and v must be equal too or less than 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

  a. the investment earns 4%

  b. yes

Step-by-step explanation:

The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...

  f(x) = 72/x

__

We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.

__

Using the above formula, ...

  f(4) = 72/4 = 18

The friend's math is correct.

Answer:

The variable x is equal to 10 degrees.

Step-by-step explanation:

A triangle's angles, in total, must equal 180 degrees.

71 + 50 + (6x-1) = 180

71 +50 = 121

121 + (6x-1) = 180

6x - 1 = 59

6x = 60

x = 10

Answer:

Step-by-step explanation:

A car moves from rest. During the first 20 seconds, it moves uniformly to a distance of 40 m. Then it stopped there for 10 seconds. Then It takes 20 seconds to move uniformly back to the starting position.

Answer:

7 tickets

Step-by-step explanation:

First, do 173 - 5 which is 168

Then, divided 168 by 24

That is equal to 7

You and ur friends ordered 7 tickets!

Hope this helps! :)

Answer:

Nonexistent

Step-by-step explanation:

The constant of proportionality k is given by k=y/x

We have three examples:

1. x=-3, y=1 (k=-1/3)

2. x=-1, y=3 (k=-3/1)

3. x=3, y=-1 (k=-1/3)

Because the constants are inconsistent, the answer is the last option, Nonexistent.

Answer:

I believe your answer is 76.

Hope this helped!