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
PolarNik [594]
3 years ago
15

How would I find the Max/min of this function f(x) = 2x squared +18x +16

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0
F(x)=2x²+18x+16
1) we have to calculate the first derived.

f´(x)=4x+18

2) Now, we equalize the first derived to "0" and find out the value of "x"
4x+18=0
4x=-18
x=-18/4=-4.5

3)we calculate the second derived
f´´(x)=4>0  ⇒we have a minimum at x=-4.5

4) Now we calculate the value of "y".
f(-4.5)=2(-4.5)²+18(-4.5)+16=40.5-81+16=-24.5

Therefore; Exist a minimum at (-4.5 , -24.5)
You might be interested in
Rosa's test scores are 78, 92, 88, and 89. What must she score on her next test to have an average of 90? A) 95 B) 97 C) 99 D) 1
Morgarella [4.7K]

Answer: D

<u>Step-by-step explanation:</u>

Let x represent the score on her next test

\frac{78 + 92 + 88 + 89 + x}{5} = 90

(5)\frac{78 + 92 + 88 + 89 + x}{5} = (5)90

78 + 92 + 88 + 89 + x = 5(90)

                      347 + x = 450

                    <u> -347      </u>   <u>-347 </u>

                                x = 103


3 0
3 years ago
Solve 0.9(x-20)=830
Dmitry [639]

Answer:

942.22

Step-by-step explanation:

0.9(x-20)=830

Distribute .9

.9x -18 =830

Add 18 to each side

.9x -18+18=830+18

.9x = 848

Divide each side by .9

.9x/.9 = 848/.9

x =942.22222222

To the nearest hundredth

942.22

7 0
3 years ago
(-5)+(-2)+3 do the arrows correctly represent the numbers that Jessica is using in her expression
kirza4 [7]
Will the answer to the expression is -4 but i don't see any arrows <span />
5 0
3 years ago
Read 2 more answers
3.
alexgriva [62]
Let the number of green apples and red apples be 8x and 3x respectively.

Given: 8x-3x =35

=> 5x =35 => x=7

Hence there are 8x=56 green apples and 3x=21 red apples.Ans.

4 0
2 years ago
Read 2 more answers
In the diagram Shown a 2 foot wide flower border surrounds the heart shaped pond.What is the area of the border?
Dimas [21]
This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares: 

Semi Circle Area Formula: \pi  r^{2} ÷ 2
Square Area Formula: length x width 

Pi = 3.14 
Radius = Half of the diameter, in this case 6 

After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • Divide.<br> Express your answer in lowest terms.<br> 1/8 Divided by 4 =
    13·1 answer
  • There are 172 South American animals in the Springdale Zoo. That is 45 more than half the number of African animals in the zoo.
    9·1 answer
  • Why does it only have a value of 1
    7·2 answers
  • garth buys 24 kilograms of candy, He then repacks the candy into small bags of 3/4 kilogram each. How many bags dose he pack .
    10·1 answer
  • The length of a rectangle is four times it width. If the perimeter of the rectangle is 70 ft, find its length and width
    8·1 answer
  • What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x
    12·2 answers
  • PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
    13·2 answers
  • Can anybody help me please hurry this is due
    11·1 answer
  • A line has a slope of 0 and passes through the point (9,9) what is its equation in slope-intercept form?
    7·1 answer
  • Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are ration
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!