Find the relative extrema of f(x) = 1+8x − 3x^2

Answers

Answer 1

Answer: f(x)=1+8x-3x²
1)we have to calculate the first derived
f´(x)=8-6x
2) we have to equalizate the first derived to "0", and find out the value of "x".
8-6x=0
-6x=-8
x=-8/-6=4/3
3)we have to calculate the second derived
f´´(X)=-6<0 ⇒ at x=4/3 we have a maximum.
4) we find the value of "y"
f(4/3)=1+8(4/3)-3(4/3)²=1+(32/3)-(48/9)=57/9

Therefore:
at (4/3 , 57/9) have a maximum

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Is 1/8 bigger than 1/2

Estimate 219 and 445

Answers

Estimation: 200 and 400. If a number is less than 50, depending on whether in the hundreds or thousands (1500 in this case), the number can be estimated to 2000. But since both numbers are less than 250 or 450, the number remains 200 and 400

In which of the following units is acceleration expressed? A. Kilograms
B. Meters per second squared
C. Foot-pounds
D. Newtons

Answers

The question is,' in which of the following unit is acceleration expressed. The correct option is B. Acceleration is defined as the rate of change of velocity per unit time. The unit of velocity is meter per second while the unit of time is second, therefore, the unit of acceleration is meter per second per second or meter per second squared [m/s2].

your answer is B. Meters per second squared

i just took the test

Jada keeps 175 hair beads in a storage box. She chooses a bead without looking whatcolor it is, and returns it to the box. She does this severaltimes.

Pink - 7
Green - 8
Red - 10

How many pink beads are in Jadas storage box

Answers

The probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428

As per the question statement, we are supposed to find the probability of getting a pink bead out of the storage box containing a sum total of 175 beads.

It is given that there are 25 pink beads in the storage box.

Probability = Favorable outcome / Total value

Probability = 25/175

Probability = 0.1428

Hence, the probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428

Probability: The chances of happening or not happening of any event.

To learn more about probability and similar concept, click on the link given below:

brainly.com/question/11234923

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What formula tells the cost, in dollars, if chocolate chip cookies are $2.50/ dozen and lemon frosteds are $1.50/dozen? let c=number of dozens of chocolate chip cookies;L=number of dozens of lemon frosted; T= total charge

Answers

c= # of dozens chocolate chip cookies= $2.50/dozen

L= # of dozens of lemon frosted= $1.50/dozen

T= total charge

Multiply the number of dozens of chocolate chip cookies by the cost per dozen. Multiply the number of lemon frosted by the cost per dozen. Add those two together to equal the total cost.

T= ($2.50 * c) + ($1.50 * L)
T= $2.50c + $1.50L

ANSWER: T= $2.50c + $1.50L

Hope this helps! :)

One milliliter equals 10^3 liter. simplify 10^3

Answers

Hey Jackigarcia141,

10^3
= 10 to the power of three
= 10 x 10 x 10
= 1000

Hope this helps!

Chen :D

Hayden graphed the following linear function on an (x,y) coordinat plane. g(x) = 3x -4.5 What is the y-intercept of the graph of this function? Write the numerical value.

Answers

-4.5 if you were to graph the linear function.

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