Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer 1

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”


Related Questions

algebra applications: find the value of x and y

Answers

Answer:

x = 10°

y = 35°

Step-by-step explanation:

9x + 20 + 7x = 180 (supplementary angles)

16x = 180 - 20

16x = 160

x = 10°

2y = 7x ( opposite angles)

2y = 70

y = 35°

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
Support | Schlogging | PROFPOLICE | Tesale

Answers

Answer:

C =31.4 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14 * 5

C =31.4 inches

________________________________

Solution,

Radius(r)=5 inches

Circumference of the circle=?

Now,

Circumference of circle= 2 pi r

=2*3.14.5

=31.4 inches.

Hope it helps...

Good luck on your assignment

_______________________________

Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability

What is the area of the triangle?
8
10
6
units

Answers

Answer:

A = 24 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

The base is 6 and the height is 8

A = 1/2(6) *8

A = 24 units^2

Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000

Answers

Answer:

1,000

Step-by-step explanation:

The more rolls you make, the closer the experimental and theoretical probabilities get closer together

Answer:

1000

Step-by-step explanation:

Please someone help me, i need thier solve please my teacher told me to solve them ​

Answers

Answer:

A. Domain : (-∞, ∞)

B. Function is increasing in the interval (-2, 0) and (2, ∞)

   Decreasing in the interval of (-∞, -2) and (0, 2).

Step-by-step explanation:

A. Given function is, y = |2x - 1|

This function is the transformed form of the parent function, y = |x|

Domain of the parent function is { x | x is a set of real numbers}

Therefore, domain of the transformed function will be the same as the domain of the parent function.

Domain of the function = {x | x is a real number}

B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]

Domain of the function : (-∞, ∞)

Critical points of the function are,

⇒ x = 0, ±2

Now we find the three intervals where we have to check the function to be increasing or decreasing.

(-∞ -2), (-2, 0), (0, 2), (2, ∞)

Derivative of the function f(x),

f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]

Here, f'(x) < 0 for (-∞, -2)

f'(x) > 0 for (-2, 0)

f'(x) < 0 for (0, 2)

f'(x) > 0 for (2, ∞)

Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)

And it's decreasing in the interval of (-∞, -2), and (0, 2).

Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?

Answers

Answer:

≈201 in²

Step-by-step explanation:

Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²

Answer:

201 in²

Step-by-step explanation:

Hope this helps! :)

Factor completely 3x2 − 11x + 8
A. (x + 4)(3x - 2)
B. (x − 2)(3x − 4)
C. (x + 1)(3x − 8)
D. (x − 1)(3x − 8)

Answers

Answer:

The Answer is D. (x - 1) (3x - 8)

Step-by-step explanation:

So, we start with [tex]3x^2 - 11x +8[/tex].

First step is to break the expression into groups, by doing this, you get:

[tex]\left(3x^2-3x\right)+\left(-8x+8\right)[/tex]

Next, factor out the 3x from  [tex]\left(3x^2-3x\right)[/tex]. By doing this, you should get:

3x(x - 1)

Then, factor out the 8x from  [tex]\left(-8x+8\right)[/tex]. By doing this, you will get:

-8(x - 1)

Last, factor out the common term, x - 1, When you do this, you get:

(x - 1) (3x - 8)

Hope this helps!

Answer:

D.(x − 1)(3x − 8)

Step-by-step explanation:

What value of b will cause the system to have an infinite
number of solutions?
y = 6x-b
3x+1/2y=-3
-3x + 2 y = -3
b =
O 2
X
04
6
8

Answers

Answer:

6

Step-by-step explanation:

Given the system of equations:

y = 6x-b  (eq. 1)

-3x+1/2y = -3 (eq. 2)

We can rewrite eq. 1 as follows:

-6x + y = -b

Dividing by 2:

(-6x + y)/2 = -b/2

-6x/2 + y/2 = -b/2

-3x + 1/2y = -b/2

The system of equations will have infinite number of solutions if both equations are equal. Therefore:

-b/2 = -3

b= -3*(-2)

b = 6

A laptop that costs $250 is on sale with a 20% discount. What is the amount of discount? What’s the explanation to do this

Answers

Answer: $50

Step-by-step explanation:

250 x 0.20 = 50

$50 discount

or you pay 80%, so

250 x 0.80 = 200

$200 final cost

$250 original cost - $200 final cost = $50 discount

Answer: 50

Step-by-step explanation:

Discount = 250 x .20 = 50

Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?

Answers

Answer:

y=-5x+44

Step-by-step explanation:


The last time Andy went bowling he had a mean score of 158
per game.
After three games Andy has a total score of 473. He thinks he
needs to score over 160 in game four to get a mean score
greater than 158.
(a) Is Andy correct?
Show why you think this.
Show a check of your working.
Your answer:​

Answers

Answer:

no

Step-by-step explanation:

suppose he will get exactly the score of 160 in the game four, the mean score this time will be (473+160)/4=158.25

which has already reached the mean score 158 and even higher than it

therefore, his statement is wrong

In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale

Answers

Answer:

C (46)

Step-by-step explanation:

Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't).  OA and OB are both radius of circle O, making them congruent because all radii are congruent.  Also PO is congruent to PO by reflexive.  

Angle AOC is the same thing is Angle AOP.  Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent).  Therefore, Angle POB is 46 degrees.

The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.

Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.

Answers

Answer:

18% , 27 Hours

Step-by-step explanation:

On edge 2020

The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.

Therefore, the value can be written as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Put x = 10;

⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]

⇒ y = 17.677

⇒ y = 17.7

Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.

Learn more about Function visit:

brainly.com/question/5245372

#SPJ7


What is the equation of the line that contains (-5,1) and has a slope of 4
PLEASE HELP

Answers

Answer:

y=4x +21

Step-by-step explanation:

How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2​

Answers

Answer:

2 half cubes

Step-by-step explanation:

this has only half the width, you just need 1 more to make a whole, therefore 2


Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t

Answers

Answer:

Either

x = 4+3i /5   or     x = 4-3i /5

Step-by-step explanation:

To solve the quadratic equation using the quadratic formula, we will follow the steps below;

write down the quadratic formula;

x = -b±√b² - 4ac   /2a

First lets compare the equation 5x² - 8x + 5 = 0  to the standard quadratic equation  ax² + bx + c

a = 5  b = -8  and c= 5

we can now proceed to substitute the above value into the quadratic formula and then solve. That is;

x = -b±√b² - 4ac   /2a

   = -(-8)±√(-8)² - 4(5)(5)   /2(5)

    = 8 ±√64-100 /10

   =8 ±√-36  /10

    = 8 ±√36 . √-1    /10                           note that √-1 = i

      =8±6i   /10

       =[tex]\frac{8}{10}[/tex]  ± [tex]\frac{6 i}{10}[/tex]

         =[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]

         

Either

x = 4+3i /5   or     x = 4-3i /5

Answer:

answer in picture

Step-by-step explanation:

which of the following circles lie completely within the fourth quadrant? Check all that apply.

Answers

Answer:

B and D

Step-by-step explanation

Answer:

B and D

Step-by-step explanation:

What is m∠D? Enter your answer in the box.

Answers

Answer:

D = 32

Step-by-step explanation:

A+ B + E = 180 since they form a triangle

14+ 45 + E = 180

E = 180 -14-45

E =121

E on either triangle is the same since they are vertical angles

C+D+E = 180 since they form a triangle

27+ D + 121 = 180

D = 180-121-27

D =32

which answer justifies why 10 1/3= 3^10

Answers

Answer:

they are not equal

Step-by-step explanation:

10 1/3 = 10.33333

3^10 =59049

10.333 does NOT equal 59049

Answer:

Brainliest here!

Step-by-step explanation:

10 1/3 = 10.33333 3333333...

3^10 = 59049

10.333 < 59049

not equal to

Dominique is buying water. She needs 2 liters. A​ half-liter of water costs ​$2.46. A 250​-milliliter container of water costs ​$1.48. What should Dominique buy so she gets 2 liters at the lowest​ price? Explain.

Answers

Answer:

[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]

Step-by-step explanation:

Dominique wants to buy [tex]2[/tex] liters of water.

Case 1:

A half-liter of water costs [tex]2.46[/tex].

The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply  the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:

[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]

=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $

Case 2:

A quarter-liter of water costs [tex]1.48[/tex].

The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:

[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]

=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $

Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.

=> She should buy the water, in which a​ half-liter of water costs ​$[tex]2.46[/tex]

Hope this helps!

:)

The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?

Answers

Answer:

29.17m/s²

Step-by-step explanation:

Acceleration is defined as the change in velocity of a body with respect to time.

Acceleration = velocity/time

Given velocity of the space shuttle = 525m/s and time = 18.0seconds

Its average acceleration = 525/18

Its average acceleration (in m/s²) = 29.17m/s²

In the image below, m2OMN = (2x+9) and m2 LMN = (6x-7) and m2 OML = 66.
Find m ZOMN and m LMN

Answers

Answer:

m<OMN = 25

m<LMN = 41

Step-by-step explanation:

m<OMN = 2x + 9

m<LMN = 6x - 7

m<OML = 66

m<OMN + m<LMN = m<OML

2x + 9 + 6x - 7 = 66

8x + 2 = 66

8x = 64

x = 8

m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25

m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41

Answer:

m<OMN = 25

m<LMN = 41

Can someone help me with this, I will mark you as brainliest!

Answers

The second one is the answer because you have to start with 180 first meaning you rotate 180 and reflect which is rx .hope this helps

Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).

Answers

Answer:

[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]

Step-by-step explanation:

The translation [tex]T_{(3,-1)}[/tex] shows that we need to add three units to the x-cordinates and -1 units to y-coordinates, as follows

[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]

Therefore, the image of the coordinates are

[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]

A new club sent out 195 coupons to boost sales for next years memberships they provided four times as many then to existing members how many coupons that they sent to existing members

Answers

Answer:idk

Step-by-step explanation:

sorry

Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8

Answers

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Step-by-step explanation:

Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?

Answers

Answer:

$2.50

Step-by-step explanation:

67.50/27 = 2.50

Answer:

$2.50

67.50/27 = 2.50

Step-by-step explanation:

Find the product:

-2x(-y - 3x + 3)

Answers

Answer:

[tex]=2xy+6x^2-6x[/tex]

Step-by-step explanation:

[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

37
35
Х
x =

What’s the answer?

Answers

Answer:

12

Step-by-step explanation:

use Pythagorean theorem

37^2 = 35^2 + x^2

x= ±[tex]\sqrt[2]{37^2-35^2}[/tex]

x1 = 12

x2= -12 but it is illogical as length cannot be negative

answer: x = 12

Answer: x = 12

Step-by-step explanation:

a^2 + b^2 = c^2

35^2 + b^2 = 37^2

b^2 = 1369 - 1225

b = √144 = 12

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