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ValentinkaMS [17]
3 years ago
14

What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

(-5,-28)

Step-by-step explanation:

Given

f(x)=x^2+10x - 3

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

x = \frac{-b}{2a}

Substitute 10 for b and 1 for a

x = \frac{-10}{2*1}

x = \frac{-10}{2}

x = -5

Substitute x = -5 in the given function;

y=x^2+10x - 3

y=(-5)^2+10*-5 - 3

y=25-50 - 3

y=-28

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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Pie

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

4 0
3 years ago
Read 2 more answers
Write the expression in factored form s^2-20s-100
KatRina [158]

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

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Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

Hence, the factors of given expression are 10+10√2 and 10-10√2.

3 0
3 years ago
What is the product of (3√8)(4√3)? Simplify your answer
andreyandreev [35.5K]
The answer is:  24√6 .
_______________________________
The question asks:
_______________________________
"<span>What is the product of (3√8)(4√3)? Simplify your answer/

First, let us simplify:  "</span>√8" 

"√8 = √4*√2 = 2√2 ;

So, "3√8 = 3*2√2 = 6√2" .

So, "what is the product of "(3√8)(4√3)"?  

Rewrite, replacing the "(3√8)" with "6<span>√2" ; as follows:

</span>6√2* 4√3 = 6*4 *√2*√3 = 24 *√(2*3) = 24√6 . 
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3 0
3 years ago
How do you know the quotient of 639÷6 is greater than 100 before you actually divide
svp [43]
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4 0
3 years ago
Find the fifth term in the sequence that is defined as follows an=n2+2
Angelina_Jolie [31]
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Step-by-step explanation:
This sequence is defined as a(n) = 2 + n^2.
Thus, a(1) = 2 + 1^2 = 2 + 1 = 3
Then a(5) = 2 + 5^2 = 2 + 25 = 27
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