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2 years ago

Use the equations and the graph to solve the problem.

Mathematics

1 answer:

Simora [160]2 years ago

4 0

The value of function f(3) + g(3) will be 9. Then the correct option is E.

<h3>What is a function?</h3>

Functions are found all across mathematics and are required for the creation of complex relationships.

Use the equations and the graph to solve the problem.

f(x) = 2x − 1

g(x) = 3x − 5

Then the addition of the functions f(x) and g(x) will be

f(x) + g(x) = 2x − 1 + 3x − 5

f(x) + g(x) = 5x − 6

When x = 3, then the value of function f(3) + g(3) will be

f(3) + g(3) = 5(3) − 6

f(3) + g(3) = 15 − 6

f(3) + g(3) = 9

Then the correct option is E.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

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A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

5 0

3 years ago

Solve −15x=6 −30 −65 −1 615

Arte-miy333 [17]

Answer:

its -0.4, are those rlly the options? if they are jus round up and do -1

3 0

2 years ago

Plutonium-240 decays according to the function where Q represents the quantity remaining after t years and k is the decay consta

taurus [48]

Note: a radioactive decay constant is always negative.

time = [natural log(ending amount / beginning amount)] / k
time = ln (20 / 24) / -.00011
time = ln (5/6) / -.00011
time = -.018232155683 / -.00011
time = 165.7468698455 
time = 165.75 years

7 0

3 years ago

Read 2 more answers

3. Han has a fish tank that has a length of 14 inches and a width of 7 inches. Han puts in

muminat

The height of the tank is 12 inches

4 0

2 years ago

Abigail made a quilt that has an area of 4800 square inches. The length of the quilt is 1 1/3 times the width of the quilt. What

mafiozo [28]

Answer:

L=132.66

36.18=W

Step-by-step explanation:

length=L

width=W

Area=A

A=L×W

L=11/3W

4800=11/3W×W

4800=11/3W²

3/11·4800=11/3W²·3/11

√1309.1=√W²

36.18=W

L=11/3×36.18

L=132.66

All answers are approximated.

6 0

3 years ago