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omeli [17]
3 years ago
11

Complete the equation describing how

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

  • y = 5x + 3

Step-by-step explanation:

<u>According to table:</u>

  • The y - intercept is b = 3 (point (0, 3))
  • The slope is m = 13 - 8 = 5 (points (1, 8) and (2, 13))

<u>The equation is:</u>

  • y = mx + b
  • y = 5x + 3
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A simple exponential has the form y =bx explain how to determine what the graph would look like
mezya [45]
You mean y = b^x.

By plugging different values of x, we find different y-values forming points in the form (x, y).

After 2 or 3 points, we can clearly see that the graph of y = b^x passes through the point (0, 1) and extends forever in the upward direction through quadrant 1.

4 0
4 years ago
A need help Dilations-He Said, She Said (12/10)
Elodia [21]

Answer:

We conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

Step-by-step explanation:

Checking the location of the vertices of the original triangle ΔDEF

  • D(-2, 4)
  • E(2, 4)
  • F(0, 2)

Checking the location of the dilated vertices of the image triangle ΔD'E'F'

  • D'(-5, 10)
  • E'(5, 10)
  • F'(0, 5)

Notice that if we multiply the vertices of the original triangle ΔDEF by 5/2, we get the correct image vertices of image triangleΔD'E'F'

i.e.

D(-2, 4) → D'(5/2 (-2), 5/2 (4))  → D'(-5, 10)

E(2, 4) → E'(5/2 (2), 5/2(4))  → D'(5, 10)

F(0, 2) → E'(5/2 (0), 5/2(2))  → F'(0, 5)

Thus, we conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

6 0
3 years ago
You lent your cousin $25.75 and she sent you $30.00 who owes who money and how much money
gogolik [260]

Answer:

you owe her 4.28

Step-by-step explanation:

30.00-25.75= 4.28

7 0
3 years ago
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A dairy farm produces 126.45 liters of milk per hour. How many liters of milk does the farmer produce in 8 hours?
LenaWriter [7]
Hello there! So off of the question, we know that 126.45 liters of water are made each hour. To find out the amount that is made in 8 hours, all you have to do is multiply both numbers together. 126.45 * 8 is 1,011.6. There. The farmer can produce 1,011.6 liters of milk in 8 hours.
5 0
3 years ago
10. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3
BlackZzzverrR [31]

Answer:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Let the price of the student ticket be $x and the price of a child ticket be $y.  An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

2(x+y)+x+y=15

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

(x+y)+4x+2y=23

Now, solve the system of two equations:

\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.

Solve the last equation

5x+15-3x=23\\ \\2x=23-15\\ \\2x=8\\ \\x=4\\ \\y=5-x=5-4=1

Students ticket = $4

Child ticket = $1

Adult ticket = $5

8 0
3 years ago
Read 2 more answers
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