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
riadik2000 [5.3K]
3 years ago
12

Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value. +

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

You might be interested in
The volume of the plastic cylinder is 64. A glass cylinder has the same height and radius is half of the plastic cylinder radius
sp2606 [1]

Answer:

I am not sure if I'm correct, but I got 16

Step-by-step explanation:

lets look at the formula for cylinder volume:

V=π*r^(2)*h

now, lets plug in 64

64=π*r^(2)*h

h=64/(π*r^(2))

Volume of glass cylinder is

V=((0.5r)^2)*(64/(π*r^(2)))*π

V=0.25π*r^(2)*(64/(π*r^(2)))

V=16π*r^(2)/(π*r^(2)

V=16

8 0
3 years ago
Hi anyone indian here??​
densk [106]

Answer:

I'm not lol

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end
Savatey [412]

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

5 0
3 years ago
Read 2 more answers
For a certain online store, the distribution of number per hour is approximately normal with mean 1200 purchases and standard de
Advocard [28]

Answer: 16%

Step-by-step explanation:

When we have a normal distribution, the 100% of our sample will be placed in a "gaussian bell".

Where the middle of this bell coincides with the mean.

The mean, in this case, is 1200, and the standard deviation is 200.

In the image below you can see that between the points.

Mean + standard deviation and the end of the graph, we have:

13.5% + 2.35% + 0.15% = 16%

And particularly, if we want to know the percentage that exceed 1400, will be the same percentage above the mean plus the standard deviation.

mean = 1200

SD = 200

mean + standard deviation = 1200 + 200 = 1400.

Then the percentage that exceeds 1400 is equal to the percentage that we found above, then the correct option is C: 16%

5 0
3 years ago
What’s 0.769769769 in fraction form?
SSSSS [86.1K]

Answer:

769769769/1000000000

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What does Sokka drink when stranded in the desert in the show Avatar: The Last Airbender?
    10·2 answers
  • Determine the cost of 5 pounds of bananas if 2 pounds cost $1.16.
    6·2 answers
  • Type in only your numerical answer to the following problem; do not type any words or letters with your answer. The population o
    7·1 answer
  • Solve this pls!!! I need to turn it into <br>-3<br>_____<br>(x+2)(x-5)​
    10·1 answer
  • Write an explicit formula for the arithmetic sequence whose common difference is -18
    15·2 answers
  • GIVING 20 POINTS What is the product?
    8·2 answers
  • Many places of business will not take a check, but will take a credit card.<br><br> True<br> False
    9·1 answer
  • 3+p=8 what’s does p equal
    12·1 answer
  • The dashed lines show a part of the garden that is in the shape of a square. What is the area, in square feet, of the entire gar
    11·1 answer
  • Suppose we take a survey and use the sample proportion to calculate a confidence interval. Which level of confidence gives the c
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!