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Misha Larkins [42]
3 years ago
5

Write a quadratic equation to represent a function with the vertex (-4, 1)

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

y=a(x+4)^2 +1, for a real number a hat is different of 0.

Step-by-step explanation:

If we know only the vertex, there are many quandratic equations.

* Result: Vertex (m,n), the quadratic equation is y= a(x-m)^2 + n for a real number a that is different of 0.

Here, the vertex (-4,1), we have the equation: y=a(x+4)^2 +1, for a real number a hat is different of 0.

Hope you understand.

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Step-by-step explanation:

heght x base

13 x 18

the hight can be measured by the paralel

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2 years ago
What is the reliability of a two-component product if the components are in parallel, with individual reliabilities of 0.95, and
user100 [1]

The reliability of a two-component product if the components are in parallel is 0.99.

In this question,

The probability of failure-free operation of a system with several parallel elements is always higher than that of the best element in the system. Reliability can be increased if the same function is done by two or more elements arranged in parallel.

A system contains two components that are arranged in parallel, they are 0.95 and 0.80.

Therefore the system reliability can be calculated as follows

⇒ 1 - ( 1 - 0.95 ) × ( 1 - 0.80 )

⇒ 1 - (0.05 × 0.20)

⇒ 1 - 0.01

⇒ 0.99

Hence we can conclude that the reliability of a two-component product if the components are in parallel is 0.99.

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6 0
1 year ago
On squared paper draw a 7 x 7 square. Divide it up into nine smaller squares.​
wariber [46]

Answer/Step-by-step explanation:

Each square would be about 0.78 by 0.78

7 0
2 years ago
Noah had 3 boxes of marbles. Each box has 34 marbles. Noah gave Michelle 9 marbles from each box. How many marbles does Noah hav
Thepotemich [5.8K]
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3 0
3 years ago
What is the value of h when the function is converted to vertex form?
elena-s [515]

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

 f(x)=(x-7)^{2}-20

Then:

h=7

4 0
3 years ago
Read 2 more answers
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