1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
2 years ago
14

What are the coordinates of the vertex of the function f(x)=x2 10x−3?

Mathematics
2 answers:
LenaWriter [7]2 years ago
5 0

The coordinates of the vertex of the function \rm f(x) = x^2+10x-3  is

(-5, -28).

It is given that the function  \rm f(x) = x^2+10x-3

It is required to find the coordinates of the vertex.

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

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a function:

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

This function represents a parabola.

We know the standard form of parabola in quadratic style:

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

By comparing the given function to the standard form of parabola, we get

a = 1, b = 10, and c = -3

The vertex of the parabola is given by:

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

Putting the values in the above equation, we get:

\rm x = -\frac{10}{2\times1} \Rightarrow -5

x = -5 put this value in the given parabola function, we get:

\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28

or y = -28

The coordintes = (x, y) : (-5 , -28) which is shown in the graph.

Thus, the coordinates of the vertex of the function \rm f(x) = x^2+10x-3  is (-5, -28).

Know more about the parabola here:

brainly.com/question/8708520

AysviL [449]2 years ago
4 0

Answer:

A. (-5, -28)

Step-by-step explanation:

You might be interested in
How many sides does a cylinder have
ValentinkaMS [17]
<span>Hi, A cylinder has 3 faces - 2 circle ones and a rectangle</span>
5 0
3 years ago
Read 2 more answers
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
Can someone help me with this question?
Masteriza [31]

Answer:

V=2c

Step-by-step explanation:

\\[Looking at the relationship of the numbers in the table, we can see which ones will work right off the bat.]\\[Our first numbers are both zero, so we cant do anything significant there.]\\[Next row, however, we can start doing the process of elimination.]\\\left[\begin{array}{ccc}1&2\\2&4\\3&6\\4&8\\5&10\end{array}\right]\\ \\[After plugging in the formulas to see if they're true, the only one that works every time is V=2c.]\\[That is your answer.]

6 0
2 years ago
Mrs. Carlson wrote the following question for her class: "Ricardo's basketball team is selling raffle tickets, Each ticket costs
IceJOKER [234]

Answer:

michelle, kaley, and Rebecca.

Step-by-step explanation:

They have sold 100 tickets so far ($75), they need to sell 380 ($285) tickets in total and need to sell 280 more tickets.

Michelle was wrong because she should have divided 210 (how much more money they need to sell on tickets) into .75 (which is how much each ticket costs).

Kaley was wrong because she should have also divided 210 into .75 like Michelle.

Rebecca should have also divided 210 into .75.

Eva was the only correct one.

7 0
3 years ago
-1.398 = 2.2 + n/-5.53<br> Does this look good so far? <br> -1398 = 2200 + n/5530 - 2200
insens350 [35]

Answer:

  n = 19.89694

Step-by-step explanation:

You can work the problem using decimal numbers. There is no need to convert everything to integers. Trying to do so just gets you in trouble.

Subtract 2.2 from both sides:

  -1.398 -2.200 = n/-5.53

  -3.598 = n/-5.53

Now, multiply both sides by -5.53:

  (-5.53)(-3.598) = n = 19.89694

_____

The one rule that cannot be violated in algebra is that <em>you must do the same thing to both sides of the equation</em>.

_____

Your "solution" so far has a couple of errors. The first is that you have apparently multiplied all of the numbers by 1000. Unfortunately, when you multiply a denominator by 1000, it is the same as dividing by 1000. So, you have multiplied the left side by 1000, multiplied one term on the right by 1000 and divided another term on the right by 1000. This turns the equation into something different than what you started with, and will give a wrong answer.

The second error is that you have subtracted 2200 only from the right side. This, too, will turn the equation into something different than what you started with, and will give a wrong answer.

7 0
3 years ago
Other questions:
  • Represent the following statement by an equation: 17 times the sum of a number n and 31 is 357
    8·2 answers
  • Use the figure to find the Total Area. (please explain how you got it)
    11·1 answer
  • Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing A: { A 3 appears on each of
    11·1 answer
  • Choose the steps that you could use to subtract a negative fraction from a positive decimal? Select all that apply.
    5·1 answer
  • Un importante grupo de inversionistas, asociado a una línea de buses interurbanos, está considerando instalar un centro logístic
    12·1 answer
  • Substitute 3y+2 for x in the second equation 2(3y+2)-5y=2
    11·1 answer
  • 1. An item is on sale for 40% off. If the original price of the item is $40, what is the total
    10·1 answer
  • Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total
    8·1 answer
  • 1. If you have a McDonalds order where the subtotal comes to
    13·2 answers
  • What is the complete factorization of the polynomial below<br> X3+4x2+16x+64
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!