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Bogdan [553]
3 years ago
7

Write in standard notation.

Mathematics
1 answer:
lora16 [44]3 years ago
4 0
This is how u write your question in standard form 196.75
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Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
Write the phrase as an expression. The quotient of 40 and the difference of a number y and 16.
klio [65]

Answer:

40/y-16

Step-by-step explanation:

5 0
3 years ago
There are 12 football teams in a competition. The lions have a probability of 1/12 of winning the competition. How is this true?
MaRussiya [10]
Asuming that all the teams have the same skill levels the game will mostly be chance. The chance of winning will be 1/12 because they are 1 out of 12 teams.
7 0
3 years ago
What is 0.26 x 4.3?????????????????
andrew11 [14]

Answer: 1.118

Step-by-step explanation:

Factor x Factor = Product

0.26(Factor) x 4.3(Factor) = 1.118(Product)

To check your work, divide the product by one of the factors and the result you should get is the other factor.

1.118(Product) ÷ 4.3(Factor) = 0.26(Factor)

-or-

1.118(Product) ÷ 0.26(Factor) = 4.3(Factor)

To show work:

     .26

<u>    x4.3</u>

   .078

<u>+1.040</u>

  1.118

7 0
3 years ago
What is the answer to 3(2-x)-2 if x equal -2
hoa [83]

Answer:

0.


Step-by-step explanation:

3(2-2)

Distribute 3 to -2 and you would get 6.

Then you would distribute 3 too -2 and get -6.

After, you would have 6-6, which is 0.

7 0
3 years ago
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