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
Maru [420]
3 years ago
13

What is the maximum or minimum value of the function? What is the range? y = -2x^2 + 32x - 12

Mathematics
1 answer:
alexira [117]3 years ago
5 0
Y= -2x² + 32x -12
Take the derivative, and set it equal to zero. We are finding where the slope equals zero (the peak of the parabola)
y'= -4x + 32
0 = -4x + 32
4x=32
x=8
The maximum is at the point x=8. Plugging into the original equation:
y= -2x² + 32x -12
y= -2(8)² + 32(8) -12
y= 116

The maximum is at point y=116
Keep in mind what maximum means. It is the largest value for y that the function has. That means that the range, or all possible y-values, is 
y ≤ 116.

Therefore, the answer is A) Max: 116, range: y ≤ 116
You might be interested in
Which translation shifts the graph of f(x)=3x+3 onto g(x)=3x-3
WARRIOR [948]
The translation that flips sides
5 0
3 years ago
Kent thinks that x+x and x2 are equivalent expressions because they each have a value of 4 when x=2. Which statement best demons
timofeeve [1]
Kevin is incorrect because x+x is adding two numbers, but x^2 is multiply.
3 0
3 years ago
You have 1,000,000 number cubes, each measuring one inch on a side. if you layered the cubes to make one big cube what would be
azamat

Answer:

100 x 100 x 100 number cubes

Step-by-step explanation:

It's basically a volume problem.  The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube.  Or in other words the volume is 1,000,000.  Now how do we find the volume of a cube?  length times width times height, and witht he cubes each of those are the same so we can call them all x.

Now we just set up the equation where we have the equation whatever one side is times itself  three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000.  Now you just take the cube root of 1,000,000 which gets us 100.  so the length, width and height are 100 small cubes.

3 0
3 years ago
If Tammy takes out a discounted loan for $850 at a simple interest rate of 12%, but only receives $800 into her bank account, wh
Vikki [24]

Answer : The duration of the loan is, 6 months

Step-by-step explanation :

First we have to determine the discounted money.

Discounted money = $850 - $800 = $50

Thus, interest = $50

Now we have to determine the time of loan.

Formula used :

S.I=\frac{PRT}{100}

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

For 1 year : \$50=\frac{(\$850)\times (12)\times T}{100}

For 12 months : \$50\times 12=\frac{(\$850)\times (12)\times T}{100}

T=5.88month\approx 6month

Thus, the duration of the loan is, 6 months

3 0
3 years ago
Need help on this Algebra 2
ElenaW [278]
All you have to do to solve this question is to plug in gx as any other number you would plug in to the f(x) to solve the equation.

So it would be

F(3x-8) = 3(3x-8)^2 - 5(3x-8) - 9

Then FOIL the terms in the binomial or the first term, then after expanding the first term, distribute the numbers into each term inside the bracket and then at the end gather like terms to simplify.






6 0
3 years ago
Other questions:
  • Julia invested $4,000.00 in a mutual fund with the simple interest rate of 3.5% per year. How much interest would she earn after
    9·1 answer
  • 59​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
    14·1 answer
  • Twenty-five cards are numbered from 1 to 25 and placed in a box. One card is selected at random and not replaced. Another card i
    15·1 answer
  • My mom likes to browse every aisle in the clothing store. What does browse probably mean? * to glance at to dance through to mak
    8·2 answers
  • Which set of number include only whole numbers?
    11·1 answer
  • Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e
    13·1 answer
  • 295 words in 6 minutes ; What are the words/min.? (round to the nearest tenth)
    11·2 answers
  • What is the value of x?
    6·1 answer
  • Marking as brainliest!!
    11·2 answers
  • What is the resulting equation when the expression for y in the second equation is substituted into the first equation? 3x y = 1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!