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kolezko [41]
3 years ago
9

Cathy pays $25 a month plus $0.05 per text message. She models this with the function C = 0.05x + 25. If the text messaging fee

increases to $0.10, what is her new function?
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
5 0
C=0.10x+25
nothing changes except the monthly fee so just replace the old with the new
Vlad1618 [11]3 years ago
3 0

Answer:

C=0.10x+25

Step-by-step explanation:

1. The current function which express the fee that Cathy pays is the following:

C=0.05x+25

where $0.05 is the payment per text message, $25 is the payment a month and x is the quantity of text messages.

2. If the text messaging fee increases to $0.10 the change in the function will be:

C=0.10x+25

it means that for each text message Cathy will pay $0.10 and the montly fee remains the same.

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Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi
maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ x=\frac{x_{1}+x_{2}}{2} and y=\frac{y_{1}+y_{2}}{2}

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is x=\frac{-31+29}{2}=-1

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is y=\frac{8+-10}{2}=-1

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed \frac{2}{3} of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

  is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}} and y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is x=\frac{(8)(1)+(-1)(2)}{2+1}=2

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0
3 years ago
The other two options are…
Sunny_sXe [5.5K]
It’s B

Explanation: use desmos or trust me lol
8 0
3 years ago
Can someone pleaseeee help and if you’re correct i’ll give brainliest
balandron [24]

Answer:

the first one

Step-by-step explanation:

8 0
3 years ago
Order 0.75, 1/2, 0.4, and 1/5 from least to greatest
In-s [12.5K]
1/5, 0.4, 1/2, 0.75 is in order from least to greatest
3 0
3 years ago
What is the sum of 5.3 x 10 to the fifth power and 3.8 x 10 to the fourth power in scientific notation
sweet-ann [11.9K]

Answer:5.6 x 10^5

Step-by-step explanation:

When ever we hear sum, what comes to our mind must be addition

Here we are Adding 5.3 x 10 to the fifth power= 5.3 x 10^5 to

3.8 x 10 to the fourth power = 3.8 x 10^4

First,

Expanding the scientific notation we have that

5.3 x 10^5 = 530,000

3.8 x 10^4=     38,000

Add           = 568,000

Putting back in Scientific notation  we have 568000 = 5.6 x 10^5

8 0
3 years ago
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