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
alexdok [17]
3 years ago
11

What is the y value of the vertex of the function f(x)=-(x-3)(x+11)

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

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

Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

You might be interested in
The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers ?
Hoochie [10]

Answer:

the two numbers are 19 and 6

Step-by-step explanation:

so we know that there are two numbers that added together give us 25

x+x=25


one of the numbers is twice the amount of the second plus 7

(2x+7)+x=25


simplify 2x+7+x

3x+7=25


subtract 7 from both sides

3x=18


divide 3 by both sides

x=6


and there is your answer.

4 0
3 years ago
What is the domain of the function f(x)=2x+5
Black_prince [1.1K]
The answer is B. All real numbers. :)
3 0
3 years ago
Read 2 more answers
The roots of an equation are x=-1 plus or minus I the equation is x^2+ ?
Oxana [17]

Answer:

x^2+2x+2

Step-by-step explanation:

If the roots of the equation are -1\pm i, then by the zero product rule:

x=-1\pm i \\\\x+1\pm i=0 \\\\(x+1+i)(x+1-i)=0\\\\x^2+x-ix+x+1-i+ix+i+1=0 \\\\x^2+2x+2=0

You can confirm this with the quadratic equation:

x=\dfrac{-2\pm\sqrt{4-8}}{2}=\dfrac{-2\pm 4i}{2}=-1\pm i

Hope this helps!

8 0
3 years ago
A man bought a bicyicle at sh 3000 and sold it at a profit of 5% how much did he sell at?
TEA [102]

Answer:

3150 is right answer......

3 0
3 years ago
Mario is cutting loaves of bread into slices each loaf of bread is 15 centimeters tall, 15 centimeters wide, and 30 centimeters
denis23 [38]
Divide the is 2. but not that sure
5 0
3 years ago
Other questions:
  • Can you simplify the equation?
    14·2 answers
  • Solve the system of equation 2x+3y=40 and -2x+2y=20
    12·2 answers
  • What is the relationship between turning points of a graph and its derivative function​
    15·1 answer
  • The sum of 14 and a number is equali to 17
    8·1 answer
  • The library at a certain university reported that journal prices had increased by 130% over a period of 10 years. The report con
    11·1 answer
  • What is the scale factor of the dilation of line segment BA?
    10·2 answers
  • Use the compound interest formula A= P1+
    6·1 answer
  • If a carton of a dozen eggs cost $3.99 how much would 3 eggs be?
    7·2 answers
  • Use the table to write a linear function that relates y to x.
    15·1 answer
  • Express 620 ft in yards and feet <br><br> Thanks
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!