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2 years ago

Let f(x) = 22 + 3.0 +2 What is the average rate of change of f(x) from 3 to 6?

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

8 0

Here’s an explanation: The average rate of change of a continuous function, f(x) , on a closed interval [a,b] is given by. f(b)−f(a)b−a.

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(28 and 29) I really need help

scoundrel [369]

Answer:

28 is 11/60

29 is 7/30

Step-by-step explanation:

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2 years ago

Question 3 of 10 What is the slope of the line shown below? C O A. 5 5 (3,7) B. 2 O D.-2

scoundrel [369]

Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2

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2 years ago

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3x+4=8y-3 5x+1=10y-4

dsp73

Answer:

x-3 and y=2

Step-by-step explanation:

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2 years ago

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

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2 years ago

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x

telo118 [61]

Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

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2 years ago