Help me please with number 2.a and 2.b

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals25minusxsquared. What are

Karolina [17]

Answer:

The answer is " $\bold{\frac{32}{3}}\\$ "

Step-by-step explanation:

The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that

and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:

The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).

The area of the rectangle:

$A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3$

The local extremes of this function are where the first derivative is 0:

$A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\$

Simply ignore the negative root because we need a positive length calculation

It wants a maximum, this we want to see if the second derivative's profit at the end is negative.

$A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}$

8 0

3 years ago

If a pizza is cut into 8 pieces and 3 children each eat one piece, what fraction of the pizza is gone

liberstina [14]

The answer is 3/8
hope it helps
please mark as brainliest i need one more

7 0

4 years ago

Read 2 more answers

Solve the equation! 6(3c-5d+6)

Anna007 [38]

Answer:

18c-30d+36

Step-by-step explanation:

6 0

4 years ago

Select the correct answer from each drop-down menu.

ruslelena [56]

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

The independent variable is the input of the relation

The dependent variable is the output of the relation
The values of dependent variables depend on the values of independent variables
When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months: 0 : 1 : 2 : 3 : 4

→ Number of Fish : 1,024 : 1,280 : 1600 : 2,000 : 2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0

3 years ago

461 tickets were sold. Students paid $3.50 each while non-students paid $5.50 each. If a total of $1867.50 was collected, how ma

Bess [88]

Answer:

The number of students attended was 334 and the number of non students attended was 127

Step-by-step explanation:

Let

x ----> the number students attended

y ----> the number of non students attended

we know that

$x+y=461$ ----> equation A

$3.50x+5.50y=1,867.50$ ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (334,127)

see the attached figure

therefore

The number of students attended was 334 and the number of non students attended was 127

8 0

4 years ago