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Alika [10]
3 years ago
5

Question 1 (1 point) Which equation can be represented by a graph with a vertex at (1,3)?

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

f(x) = a {(x - h)}^{2}  + k

Then (h,k) is the vertex, and 'a' is a constant.

For instance

f(x) = 5 {(x - 1)}^{2}  + 3

has vertex at (2,3).

Also, an absolute function in the form

g(x) = a  |x - h|  + k

has vertex at (h,k).

This means

g(x) =   |x - 1|  + 3

also has vertex at (1,3).

I hope this explanation is helpful.

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Answer:

Step-by-step explanation:

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Ariana wants to ride her bicycle 37 miles this week. She has already ridden 14 miles. If she rides for 5 more days, write and so
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Answer:

4.6 miles for 5 days.

Step-by-step explanation:

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7 0
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What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
4 years ago
Jake can make 2 airplane models in 3 hours. At this rate, how many models can Jake complete 7 ½ hours?
Charra [1.4K]

Answer:

5

Step-by-step explanation:

7.5/3= 2.5

2.5 x 2 = 5

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All you have to do is divide 190 liters by 3.8 liters. To get the calculated amount of gallons.
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