Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write? {3, 4, 6, 7, 9} {3, 12, 18, 24, 27} {9, 12, 18, 21, 27} {2, 4, 6, 8, 10}

Answer:

T= 3.5+22.5

T=26

Hope I helped!!

Step-by-step explanation:

The Age of Terrance is 26 years.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Model Equation : t – 3.5 = 22.5

where t is Terrance’s age.

Now, solving the equation for t we get

t - 3.5 = 22.5

Add 3.5 on both side

t -3.5+ 3.5 = 22.5 + 3.5

t = 26

Hence, Terrance age is 26 years.

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Answer: the answer to this question is

choice c. 17

see attached picture for answers:

replaced picture with correct answer for #1

The corresponding point for the function f(-2/3x) given the point (-2,-5) on the graph of f(x) is (3,-5), where the x-coordinate is transformed by multiplying -2 by -3/2 and the y-coordinate remains unchanged.

The question asks about finding a corresponding point for the function f(-2/3x) given that the point (-2,-5) is on the graph of the original function f(x). To find the corresponding point, we need to apply the transformation to the x-coordinate of the given point. Since the function is f(-2/3x), this represents a horizontal stretch by the reciprocal of -2/3, which is -3/2. Therefore, we multiply the x-coordinate of the given point by -3/2.

Let's calculate this step by step:

In this mathematics problem about boat sales, Pelican Marine sold 14 boats and Boater's Paradis sold 19 boats. This conclusion was achieved by forming and solving a simple algebraic equation based on the provided problem information.

To solve this problem, let's visualize it first. Pelican Marine sold a certain number of boats, and Boater's Paradis sold 5 more than that. If we call the number of boats sold by Pelican Marine as x, and adding Boater's Paradis' sales (x + 5), together they sold 33 boats. So we form the equation as x + (x+5) = 33.

Solving that equation, we will get 2x + 5 = 33, then simplify it to 2x = 28 after subtracting 5 from both sides. Finally, we divide both sides by 2 we get x = 14.

So, Pelican Marine sold 14 boats and Boater's Paradis sold 19 boats (14 boats Pelican Marine sold plus an additional 5 Boater's Paradis sold).

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Final answer:

The distance changing from 68 miles to 42.5 miles represents a 37.5% decrease, calculated using the percent change formula.

Explanation:

The question involves calculating the percent of change when the distance changes from 68 miles to 42.5 miles. To find the percent of change, we use the formula: Percent Change = ((New Value - Original Value) / Original Value) x 100%. Here, the original value is 68 miles and the new value is 42.5 miles.

Plugging in the values, we get: Percent Change = ((42.5 - 68) / 68) x 100% = (-25.5 / 68) x 100% ≈ -37.5%. Because the result is negative, this indicates a decrease in the distance traveled.

Therefore, the distance changing from 68 miles to 42.5 miles represents a 37.5% decrease.

A 3 x 3 x 4 cuboid can be cut into 3(3) (4) = 36 pieces of 1 x 1 cubes.

Out of the 36 pieces of 1 x 1 cubes, there are no 1 x 1 cube with the four sides painted, there are eight 1 x 1 cubes with simply 3 sides painted, there are twenty 1 x 1 cubes with only 2 sides tinted, there are 6 cubes with only 1 side painted and there are 2 cubes with no side painted.

The chance that the four sides of a randomly selected cube is painted is 0.

The likelihood that only 3 sides of a randomly selected cube is painted is 8 / 36 = 2 / 9.

The chance that only 2 sides of a randomly selected cube is painted is 20 / 36 = 5 / 9.

The likelihood that only 1 side of a randomly selected cube is painted is 6 / 36 = 1 / 6.

The probability that no side of a randomly selected cube is painted is 2 / 36 = 1 / 18.


Thus, the expected value for the painted sides of a randomly selected cube is given by 4(0) + 3(2 / 9) + 2(5 / 9) + 1(1 / 6) + 0( 1 / 18) = 2 / 3 + 10 / 9 + 1 / 6 = 35 / 18 = 1.94

The division is a process of splitting a specific amount into equal parts.

The number of vans they will need for everyone to get to the art museum is 5.

The division is a process of splitting a specific amount into equal parts.

We have,

Number of five grader students = 38

One van can hold = 9 students.

The number of vans needed to hold 38 students:

= 38 / 9

= 4.2 vans

This means we need 5 vans to accommodate all 38 students because in 4 vans only 36 students will be accommodated and 2 students remaining will need a van.

Thus the number of vans they will need for everyone to get to the art museum is 5.

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17+3 =20

so for every 20 people there are 17 students and 3 faculty

740/20 = 37

37*3 = 111 faculty

37 *17 = 629 students

3x-8 = 8x+4

subtract 3x from each side

-8 = 5x+4

 subtract 4 from each side

-12 = 5x

divide -12 by 5 to get x

x = -12/5 = -2.4

Answer:

Revenue function: [tex]R(x)=100x[/tex]

Profit function: [tex]P(x)=-0.1 x^2 + 92 x - 2750[/tex]

31 to 500 Gymnast Clothing are manufactured to make a profit.

Step-by-step explanation:

The cost (in dollars) for a run of x pairs of cleats.

[tex]C(x)=2750 + 8x + 0.1x^2[/tex]

Gymnast Clothing sells the cleats at $100 per pair.

The Revenue (in dollars) for a run of x pairs of cleats.

[tex]R(x)=100x[/tex]

Profit = Revenue - Cost

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=100x-(2750 + 8x + 0.1x^2)[/tex]

[tex]P(x)=-0.1 x^2 + 92 x - 2750[/tex]

We need to find how many should Gymnast Clothing manufacture to make a profit.

[tex]P(x)\geq 0[/tex]

[tex]-0.1 x^2 + 92 x - 2750\geq 0[/tex]

From the given figure it is clear that P(x) is greater than or equal to 0 for 30.931 ≤ x ≤ 889.069.

The value of x can not be more than 500.

31 ≤ x ≤ 500

31 to 500 Gymnast Clothing are manufactured to make a profit.

The solution of the given system of linear equation would be x = 1, y = 1, and z = 0.

A linear equation is one in which the greatest power of the variable is always one.

The given system of linear equation as:

-2x+2y+3z=0  ...(i)

-2x-y+z=-3       ...(ii)

2x+3y+3z=5    ...(iii)

Adding the third equation to the (i) and (ii), we get

5y+6z=5  

2y+4z=2  

Multiplying the equation(ii) by -6/4 and after adding to get

⇒2y=2

Dividing both sides by 2.

⇒y=1

Substitute the value of y=1 into 2y+4z=2, and we get

⇒2+4z=2

Subtracting 2 from both sides, we get

⇒ z = 0

Substitute the values of y=1 and z=0 into -2x-y+z=-3, we get -2x-1+0=-3

By adding 1 to both sides, we get -2x=-2

By dividing both sides by -2, we get x=1

Therefore, the solution of the given system of linear equation would be x = 1, y = 1, and z = 0.

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