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zalisa [80]
3 years ago
13

The zeros of a quadratic function are 2 and 4 what is the vertex of the function

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

The x-coordinate of the vertex is precisely halfway between the given roots 2 and 4; thus, x = (2+4)/2, or x=3.  The y-coordinate is the value of the function at this x=3.  

We can actually determine the equation of this quadratic from the zeros:

f(x) = (x-2)(x-4), or   f(x) = x^2 - 6x + 8.  To find the y-coord. of the vertex,, subst. 3 for x in f(x) = x^2 - 6x + 8:    f(3) = 3^2 - 6(3) + 8 = 9 - 18 + 8, or -1.  Then we know that the vertex is at (3, -1).


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Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate
kirill [66]

After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.

The above problem can be solved using concept of arithmetic sequence

The starting value = $1750

After one year = 1750 - 250 = $1500

After second year = 1500 - 250 = $1250

Common difference = 1500 - 1750 = -250

a(n) = 1750 + (n - 1)(-250)

a(n) = 0  (final value is zero given)

0 = 1750 + (n - 1)(-250)

n - 1 = 7

n = 8 years

Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

Learn more about the sequence here:

brainly.com/question/21961097

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4 0
2 years ago
If (x-1)/(x)=20 then x=
nadezda [96]
D:x\neq0\\\\\frac{x-1}{x}=20\ \ \ \ |cross\ multiply\\\\20x=x-1\ \ \ \ |subtract\ x\ from\ both\ sides\\\\19x=-1\ \ \ \ \ \ |divide\ both\ sides\ by\ 19\\\\\boxed{x=-\frac{1}{19}}

6 0
3 years ago
Read 2 more answers
The larger of two numbers is seven less than three times the smaller number. If the sum is 61, find the numbers.
swat32

Answer:

17 and 44

Step-by-step explanation:

Let S = smaller number, then L = the larger = 3S - 7

 

The sum = 3S - 7 + S = 4S - 7 = 61

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S = 17 and L = 44

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3 years ago
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Sveta_85 [38]
(8xn)+6   would be your equation. please mark me as brainiest.
6 0
4 years ago
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HELP PLEASE!! EXTRA POINTS AND BRAINLIEST WILL BE GIVEN!!
mezya [45]

Answer:

0.02651

Step-by-step explanation:

P(all 5 are boys) =

\frac{7}{12}  \times  \frac{6}{11} \times  \frac{5}{10}   \times  \frac{4}{9}  \times  \frac{3}{8}

= 0.02651 ( wow low)

3 0
3 years ago
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