Celina and Richard spend a certain amount of money from their money box each month to buy plants.

The table shows the relationship between the amount of money (y) remaining in Celina's money box and the number of months (x):

Function 1:

Numbers of Month Amount Remaining (dollars
(x) (y)
1 20
2 18
3 16
4 14
The equation shows the relationship between the amount of money, y, remaining in Richard's money box and the number of months, x:

Function 2:
y = −6x + 20

Which statement explains which function shows a greater rate of change? (1 point)

A.) Function 2 shows a greater rate of change, because Richard spends $20 each month and Celina spends $6 each month.
B.) Function 1 shows a greater rate of change, because Celina spends $6 each month and Richard spends $14 each month.
C.) Function 1 shows a greater rate of change, because Celina spends $2 each month and Richard spends −$6 each month.
D.) Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.​

Answer:

y = 3.5x

Step-by-step explanation:

y=mx+b. given the points (0,0) and (2,7), you solve using y2-y1 / x2-x1 to find slope. This equals 7/2 which = 3.5. Then just put it into equation form of y=mx+b. But, our b is 0 so your equation just becomes y=3.5x

Answer:

answer is in the image below

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer:

C= 66°

B= 74°

A= 35°

Step-by-step explanation:

sorry I don't have much time to explain- but I hope this answer helps

Answer:

Step-by-step explanation:

9.

a1=-35

d=a2-a1=-28-(-35)=7

a35=a1+(35-1)7

=-35+34×7

=-35+238

=203

Answer:

the missing angle is 45

180-135=45

Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

Answer:

Circumcenter

Step-by-step explanation:

Answer:

Solving a system of inequalities is almost like solving a system of equations. Pretend that the inequality signs are equal signs for a moment. Then, solve the system for the two unknown variables just like how you would solve for in a system of equations.

But, there's a catch. If you divide both sides of the inequality by a negative number, you have to flip the inequality sign. For example, if you are trying to solve the inequality -x > 4 you would have to divide both sides of the equation by -1. We would get x < -4 (see how I switched the inequality sign from > to <).

Once you find the values of x and y (they will be an inequality), graph the solutions.

Answer:

1. -9.  2.i cant see what all the options are but the slope is y= 1/2x -3

Step-by-step explanation:

Hope this helps :)

Answer:

c 89+42x+42y

Step-by-step explanation:

On day 1 :

First Machine= 89 stickers

Second Machine= none

On day 2 :

First Machine= ? stickers ( if in 1min = 42stickers

x min=?

( x min/1 min × 42stickers)

=42x stickers.

Second Machine=?stickers ( if in 1min = 42stickers

y min=?

( y min/1 min × 42stickers)

=42y stickers.

Total = 89 + 42x + 42y

Answer:  

32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5

============================================================

Explanation:

Let's use Pascal's Triangle

In the row that starts with 1,5,... we have the values 1,5,10,10,5,1

These will be the coefficients of the terms.

Let x = 2a and y = 2b

We want to expand out (x+y)^5

Using pascals triangle, we get the following expansion

(x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5

The numbers in bold are the coefficients 1,5,10,10,5,1 found earlier.

Note how the exponents for x start at 5 and count down to 0; while the y exponents start at 0 and count up to 5. For any term, the x and y exponents always add to 5 for the expansion of (x+y)^5. In general, the exponents of any term will add to n for (x+y)^n.

At this point, we plug in x = 2a and y = 2b

Since this will clutter things a bit, I'll do it term by term

So in the end, the expression (2a+2b)^5 expands out to

32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5

The binomial theorem uses the same basic idea, but instead of using Pascal's Triangle to get the coefficients, you'll use the nCr combination formula.

Answer: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex].

Using Pascal's triangle we get:

[tex](x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5[/tex]

Here, x = 2a and y = 2b

So the terms become:

[tex]1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^5\\5x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b\\10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^2\\10x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^3\\5x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^4\\1x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5\\[/tex]

Hence: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex]

Learn more: https://brainly.com/question/13769924

Answer:

GCF=   2 x 5 x 11 = 110

LCM=   2 x 2 x 5 x 11 = 220

Step-by-step explanation:

Answer: b.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A,because it goes diagonally which (with the fraction) means that the fraction should be equal to the problem

Answer:

A

Step-by-step explanation:

I believe this is the right answer becasue all the other lines and curved (not constant) and the other goes in different directions.

Answer:

the slope is 3/4

Step-by-step explanation:

Randomly pick two points

point 1 (0, -1)

point 2 (4, 2)

gradient = (y2-y1)/(x2-x1)

m = (2-(-1))/(4-0)

m = 3/4

Answer:

D.  7 1/2

Step-by-step explanation:

-3 divided by  (-2/5) = 7 1/2

Answer:

780

Step-by-step explanation:

So when you're adding consecutive numbers like this. 1+2+3...+39. You add 39 and 1. This is 40. 2+38 is 40. This is a pattern. Now, we do 40 multiplied by 39 and this will give you the number 1620. After this you would have to divide this product by 2. The answer will soon be 780.

Answer:

I think 27 is the answer

Answer:

Negative Slope.

-7/5

Step-by-step explanation:

Decreasing from left to right.

x = 3- -2 = 5

y = -2 - 5 = -7

y = -7/5x + 11/5

Answer:

7/-5

Step-by-step explanation:

A. f(x)=x+2 is a linear function.

Answer:

A

Step-by-step explanation:

A is a linear function because, x^2 would be a parabola, 2^x would also result in a parabola, and |2x| would be a v shape.

Answer:500 ft.-65 ft.=435 ft.

Step-by-step explanation:435 ft. is your answer because the change of elevation goes down which means you subtract so I subtracted 500-65=435 feet

Answer:

13÷10 5/6

7/8÷3 1/16

how many 1 3/5 inch books can fit on a

14 1/2 inch long book self

Step-by-step explanation:

Answer:

88 i believe

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.

-I got the question right on the test

Hope this helps!

Answer:1

Step-by-step explanation:it’s one decimal

[tex]y=|x+1|+2[/tex]

also that's a huge blank.

Answer:

supplementary angles-either of two angles whose sum is 180°.

transformation- a change made to a shape or object

scalene triangle- a triangle with no equal sides

similar triangles-the same shape but not necessarily the same size

semi-circle- and arc measure up to 180 degrees

I hope this is good enough:

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet