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
Travka [436]
3 years ago
9

Write the quadratic function in vertex form. y=-3x^2+24x-50

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

Step-by-step explanation:

y = -3x² + 24x - 50

factor out leading coefficient

y = -3(x² - 8x) - 50

complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = -3(x² - 8x + 4²) + 3(4²) - 50

y = -3(x-4)² - 2

You might be interested in
Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and
Alchen [17]

Answer: i. There are 140 students willing to pay $20.

ii. There are 200 staff members willing to pay $35.

iii. There are 100 faculty members willing to pay $50.

Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.

For each concert:

A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?

C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

8 0
2 years ago
The product of any two numbers is composite ( true/false) and why?
Reptile [31]
<u><em>FALSE.</em></u><em></em> 
A composite number is the opposite of a prime number. This is false because of the possibility of the following scenario:
The two numbers are 1 and a prime number.
This is because <em>one multiplied by any number is that number.</em> A prime number cannot become a composite number just because it is being multiplied by one. For example:
1 x 7 = 7 (prime) 
Hope this helps!
~<em>Archimedes El</em>∈<em>ven</em>
7 0
3 years ago
Newton Street and Oakland Avenue intersect. If the diagonal distance across the intersection is 17 meters and Newton Street is 1
Margarita [4]
The Oakland Avenue is approximately what the time you think is it now though you have 120 days to
8 0
2 years ago
Find the approximate value of 2.49 and 2.98 when they are cubed​
Karo-lina-s [1.5K]

\huge\fbox\orange{S} \huge\fbox\red{C}\huge\fbox\blue{R}\huge\fbox\green{O}\huge\fbox\gray{L}\huge\fbox\purple{L>}

\huge\underline\mathtt\colorbox{cyan}{2.49 cubed=15.438249}

\huge\underline\mathtt\colorbox{red}{2.98 cubed=26.463592}

6 0
3 years ago
Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = - 1/2 x + 5. (3 poi
telo118 [61]
First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.

The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.

The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.

I hope this helps!
7 0
2 years ago
Other questions:
  • Need help ASAP thank you
    5·1 answer
  • Two thirds a number plus 4 is 7
    8·1 answer
  • 1.Which explanation justifies how the area of a sector of a circle is derived?
    5·1 answer
  • Help please?????????????????
    6·1 answer
  • What is 4 raised to the second power
    15·2 answers
  • Solve The Problems
    8·2 answers
  • find the diameter of a cylinderical log of wood if needs 132m long rope to tie around at three different places​
    10·1 answer
  • You have a basket containing 10 apples. You have 10 friends, who each desire an apple. You give each of your friends, 1 apple.
    7·2 answers
  • Find the equation of the linear function represented by the table
    6·1 answer
  • Can you help me with this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!