Regina’s teacher recently gave her a homework assignment on solving equations. Since she has been thinking about saving for a new cell phone, she decided to use the assignment as an opportunity to model a savings plan.

She created this equation to model the situation. In it, y represents the total amount saved for the new cell phone, 74 is the amount of money she has now, 40 is the amount of money she saves each month for the phone, and x represents the number of months since she started saving a regular amount:

74 + 40x = y.

She then solved the equation to determine how many months she’d need to save to have enough to purchase the new cell phone. Review her work, and select the error.

Answer:

The figure becomes congruent

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

Answer:

Step-by-step explanation:

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 175

x = 25

Answer:

4x

Step-by-step explanation:

Answer:

i think Point C

Step-by-step explanation:

Because Point A is you walking to the bus stop-

Point B is u waiting at the bus stop-

And point C is u on the bus

Sorry if it didn't help :/

Answer: B  about 13 m

Step-by-step explanation:

Calculate 8²  = 64  and 10² = 100  Add to get 16

Then get √164 = =12.80624847

Round up to 13.  

Answer:

Stretched vertically by a factor of 17 and translated 17 units left

Step-by-step explanation:

Answer:

1.) f(x)

is translated 17 units left.

2.) ​ f(x)

​is vertically stretched by a factor of 17.

Step-by-step explanation:

Answer:

J''(- 3, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

Thus J(1, 1 ) → J'(- 1, 1 )

Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is

J'' = (3(- 1), 3(1)) = (- 3, 3 )

Answer:

c

Step-by-step explanation:

An.

Step-by-step explanation:

Answer:

[tex]d = 2\sqrt{5}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]

[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]

[tex]d = \sqrt{(4)^2+4}[/tex]

[tex]d = \sqrt{16+4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

Answer:-370

Step-by-step explanation:

Answer: 35

Step-by-step explanation: 36−(−4)+5−10 =40+5−10

45-10=35 :) hope this helps!

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Answer:

4 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.

Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]

Answer: 2 . (7)

Step-by-step explanation:2 7/9 equals to 2.(7)

It is, a so called, 'repeating' decimal

`~hope i helped~

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

Answer:

16- this question is already here from other people! :-)

Step-by-step explanation:

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

m = (9-5)/(3-2)

m = 4

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is y= 4x -3

The y intercept is -3 and the slope of line is 4 .

Then the equation of line will be : y= 4x -3

Given,

Points on x and y axis .

Standard equation of line :

y = mx + c

m = slope of line

c = y intercept

Now

Firstly find out the slope of line ,

m = (y2-y1)/(x2-x1)\

m = (9-5)/(3-2)

m = 4

Now to calculate the value of y intercept

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is m = (y2-y1)/(x2-x1)

Know more about slope of line,

https://brainly.com/question/14511992

#SPJ2

Answer:

56 = 128-z

Step-by-step explanation:

Answer:

128-z=58

z=70

Step-by-step explanation:

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

Answer:

[tex]September = 2697[/tex]

Step-by-step explanation:

Given

[tex]June = 1,898[/tex]

[tex]July = 2,643[/tex]

[tex]August = 2,287[/tex]

[tex]Expected = 9,525[/tex]

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

[tex]Total = 1898 + 2643 + 2287[/tex]

[tex]Total = 6828[/tex]

September is then calculated as follows:

[tex]September = 9525 - 6828[/tex]

[tex]September = 2697[/tex]

Hence:

2697 cans are still needed

Answer:

0

Step-by-step explanation:

8q-12=8q-12

0=0

Answer:yz

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

i had this on a test

Answer:

add 3, add 5, add 7, add 9

Step-by-step explanation:

1+3=4

4+5=9

9+7=16

16+9=25

add by odd numbers, for a simpler answer

Answer:

If you understand how I solved a you can do B. Keep at it!

Step-by-step explanation:

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

Answer:

-11.48

Step-by-step explanation:

-7.2 + (-4.28)

-7.2 - 4.28

-11.48

Answer:

a,y=‒2x+7

Step-by-step explanation:

2x+y=7

y=7‒2x or y=‒2x+7

i think it is easy to understand