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serious [3.7K]
1 year ago
15

1 Without graphing, determine the characteristics of the graph.

Mathematics
1 answer:
olga nikolaevna [1]1 year ago
7 0

Answer: (3, -1)

Step-by-step explanation:

y = |x-3|-1

When y=|x|, vertex is (0, 0).

Now, let's translate the graph so it becomes y = |x-3|-1.

|x| ==> |x-3|         Translate the graph 3 units to the right

Vertex: (0+3, 0) ==> (3, 0)

|x-3| ==> |x-3|-1     Translate the graph 1 unit down

Vertex: (3, 0-1) ==> (3, -1)

Vertex: (3, -1)

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Question 4 i need help on!!
MrMuchimi

Answer:

C  20

Step-by-step explanation:

Set up equations:

Laguna's Truck Rentals

y = 2x + 20

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.

Salvatori's Truck Rentals

y = 3x

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).

Set the equations equal to each other:

2x + 20 = 3x

<em>Why would you do this?</em>

We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.

Solve:

2x + 20 = 3x

Subtract 2x on both sides:

2x + 20 = 3x

-2x           -2x

20 = x

When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.

Hope this helps :)

4 0
3 years ago
Mathias and his brother divided 2,030 marbles equally use compatible numbers to estimate how many marbles each brother received
umka2103 [35]

Answer:

each brother received 1,015 marbles cus 2,030 divided by 2 is 1,015.

6 0
3 years ago
When a certain number is multiplied by 14 and the product is then multiplied by 32, the result is 60. what is the number?
Stolb23 [73]
It might be 0.133928571.....? I am unsure though. Sorry if this doesn't help
7 0
3 years ago
HELP PLEASE I WILL MARK BRAINLIEST
disa [49]

Answer:

See steps below

Step-by-step explanation:

Step 1:  <A ≅ <I   Reason: Given information in the drawing

Step 2: side MX  ≅ NM  Reason: Given information in the drawing

Step 3: angle <AMX ≅ < <NMI  Reason: Angles opposed by the vertex (also called vertical angles)

Step 4: Triangle AXM ≅ triangle NMI   Reason:  SAA theorem

8 0
3 years ago
The original price of a sweater is $36. The sale price is 85% of the original price. What is the sale price of the sweater
wlad13 [49]

36                85

X                  100



3600 = 85x

3600 divided by 85 =42.3529...

6 0
3 years ago
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