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
algol13
3 years ago
15

How do I solve for the minimum and maximum of the function y=-1/2x^2 -5x+2

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Try this solution:

There are several ways to find the max or min of the given function:

1. to use derivative of the function. For more details see the attachment (3 basic steps); the coordinates of max-point are marked with green (-5; 14.5)

2. to use formulas. The given function is the standart function with common equation y=ax²+bx+c, it means the correspond formulas are (where a<0, the vertex of this function is its maximum):

X_0=-\frac{b}{2a} ; \ X_0=-\frac{-5}{2*(-\frac{1}{2})} =-5.

Y_0=-\frac{D}{4a}; \ Y_0=-\frac{25+4*2*0.5}{4*(-\frac{1}{2})} =14.5

Finally: point (-5;14.5) -  maximum of the given function.

3. to draw a graph.

You might be interested in
How do you decompose 1 1/4
uysha [10]
<span>There are 4 EQUAL pieces.

To build 1 whole you must add together 4 pieces or compose the fraction with all four pieces 1/4 + 1/4 + 1/4 + 1/4 = 4/4 or 1 whole.</span>
8 0
3 years ago
Read 2 more answers
HELP ASAP!!!<br> On the coordinate plane below, what is the length of AB?
Otrada [13]
The length is 14
Just count the spaces in between to get the result of 14
4 0
3 years ago
Read 2 more answers
A restaurant sells tea for $1.50 plus $0.50 per refill. The restaurant brews enough tea for 4 refills per customer. The linear f
ra1l [238]

Answer:

The correct option is;

The domain, r is equivalent to W = {0, 1, 2, 3,...}

Step-by-step explanation:

The cost for each cup of tea sold by the restaurant = $1.50

The cost per tea refill = $0.50

The amount of tea the restaurant brews = 4 refills per customer

The cost of r tea refills C(r) is given as follows;

C(r) = 0.5·r + 1.5

The domain is the set of all whole, W, numbers or the set of all natural numbers including 0

r = W = {0, 1, 2, 3,...}.

5 0
3 years ago
12. The number of student athletes at a local high school is 300 and is increasing at a rate of
zaharov [31]

300*.08= 24
300+24= 324
24*4= 96

324+96= 420

420 athletes are expected
3 0
3 years ago
What is the lowest common denominator for 31/40 and 5/6?
Lerok [7]

answer : 31/40 = 93/120

5/6 = 100/120

5 0
3 years ago
Other questions:
  • Cheri walked 12 blocks in 36 minutes. What was Cheri's speed per minute?
    8·1 answer
  • The Freedom Trail is 2 1/2 miles long. Ana walked 5/8 mile from Boston Common to the Paul Revere House. Then, she walked 3/8 mil
    6·1 answer
  • Are either of these linear?
    8·1 answer
  • Pls help the question is in the picture
    5·1 answer
  • PLEASE HELP ITS FOR A TEST!!
    15·2 answers
  • The National Coffee Association reported that of U.S. adults drink coffee daily. A random sample of U.S. adults is selected. Rou
    7·1 answer
  • Find the value of x.
    14·1 answer
  • Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24
    15·1 answer
  • Does anyone know the website where i can see the answers to this test? ​
    12·2 answers
  • Subtract.<br><br> 3x−5x−4−x2+12x−17x2−16
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!