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
xenn [34]
3 years ago
5

How to find the vertex of a function

Mathematics
1 answer:
belka [17]3 years ago
4 0

Step-by-step explanation:

1.Get the equation in the form y = ax2 + bx + c.

2.Calculate -b / 2a. This is the x-coordinate of the vertex.

3.To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

You might be interested in
What is the correct factorization of:<br> x? - 11x + 18
Dominik [7]

9514 1404 393

Answer:

  x² -11x +18 = (x -9)(x -2)

Step-by-step explanation:

The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.

  18 = (-1)(-18) = (-2)(-9) = (-3)(-6)

The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...

  x² -11x +18 = (x -9)(x -2)

8 0
3 years ago
Between what two integers is the square root of 147
Sergio039 [100]
One of the more familiar squares is 144; the sqrt of 144 is 12.  The next higher perfect square is 169, whose square root is 13.    Thus, the sqrt of 147 lies between 144 and 169.

7 0
3 years ago
Read 2 more answers
I need help.<br> Math is really hard
alekssr [168]

Answer:

The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3 is: x = -1

Step-by-step explanation:

We are given the function: -2(bx-5)=16

First we need to find

The value of x in terms of b

We need to find value of x

-2(bx-5)=16

Multiply -2 with terms inside the bracket

-2bx+10=16

Subtract 10 from both sides

-2bx+10-10=16-10\\-2bx=6

Divide both sides by -2b

\frac{-2bx}{-2b}=\frac{6}{-2b}\\x=-\frac{6}{2b}

So, The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3

We have the equation for the value of x in terms of b:

\mathbf{x=-\frac{6}{2b}}

Put b = 3

x=-\frac{6}{2(3)}\\x=-\frac{6}{6}\\x=-1

So, The value of x when b is 3 is: x = -1

3 0
3 years ago
BillieÍs monthly cell phone bill includes the cost of cell phone service, 15% tax on the cost of the cell phone service, and a $
dem82 [27]
X - <span>the cost of cell phone service before tax is added

</span>x+15\%x+9.25=61&#10;\\x+ 0.15x=61-9.25&#10;\\1.15x=51.75&#10;\\x= \frac{51.75}{1.15}&#10;\\x= 45<span>
</span>
6 0
2 years ago
Alan's go kart travels 1750 feet per minute and Barry's go kart travels 21 miles per hour whose go kart travels faster round you
krok68 [10]

Answer:

Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.

Step-by-step explanation:

First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.

7 0
3 years ago
Other questions:
  • For what values of x is x2 + 2x = 24 true?<br><br> –6 and –4<br> –4 and 6<br> 4 and –6<br> 6 and 4
    15·2 answers
  • A green rectangle tile and a yellow rectangular tile are similar. The green tile has a length of 24 centimeters and a perimeter
    15·1 answer
  • Mickey's bowling score is 16 less
    11·1 answer
  • A pair of sunglasses on sale for 30% off original price.if the original Price is $18.00 what is the sale price?
    7·2 answers
  • [24+9-(4×2)+11]÷2 what is the answer ​
    12·2 answers
  • Can someone please solve this?<br> a-3 Times a+7
    6·2 answers
  • Help pls vv quick ! ​
    12·1 answer
  • Just giving some po!nts away yUh but what is 2+2
    15·1 answer
  • Which measure is greater? 5 kilograms or 5 pounds?
    13·1 answer
  • If seven out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as Buzz Lightyear, what pro
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!