Make a line graph of the data in the table and conjecture on the minimum degree of a polynomial model...

To find (f * f)(3) for the function f(x) = x² - x, we calculate f(3) to get 6, and then square it to get 36.

The question is asking to calculate (f * f)(3) given the function f(x) = x² - x. To do this, we find the value of f(x) for x=3 and then square that result. First, let's compute f(3).

f(3) = (3)² - (3) = 9 - 3 = 6.

Now, we find (f * f)(3), which means f(3) * f(3).

(f * f)(3) = f(3) * f(3) = 6 * 6 = 36.

Therefore, the solution to (f * f)(3) is 36.

Two negatives terms multiplied together make a positive, so the product of (–0.9)(–2.4) will be equal to 2.16

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE know that Two negatives multiplied together make a positive, so the two negatives would cancel each other out when multiplying. This would basically make the solution.

WE have to find the product of (–0.9)(–2.4)

it’s simply (–0.9) x (–2.4) = 2.16

Now from the first option 3.3 is definitely not less than 2.4, so the answer would be positive 2.16

Hence,  the product of (–0.9)(–2.4) will be equal to 2.16

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A 1-unit growth factor with a -56.25% change means the quantity decreases by 43.75% when it decreases by 1 unit, resulting in a factor of 0.4375.

The 1-unit growth factor represents the factor by which a quantity changes when it increases by 1 unit.

A 1-unit percent change of -56.25%. A negative percent change indicates a decrease rather than an increase.

To find the 1-unit growth factor when the percent change is -56.25%,

use the formula:

Growth Factor = Final value / Initial value

let's assume the initial value is "I" and the final value is "F."

The percent change of -56.25% means that the final value is 56.25% less than the initial value, or 43.75% of the initial value remains:

F = I - 0.5625I

  = 0.4375I

Now, calculate the growth factor:

Growth Factor

= Final value / Initial value

= F /I

= 0.4375I /I

=0.4375

Therefore, the 1-unit growth factor when the percent change is -56.25% is 0.4375, which indicates a decrease of 43.75% when the quantity decreases by 1 unit.

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The total value of the sum is 1800.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

The given is,

∑n=18(3n−1)

The top number is 8 and the bottom number is 1.

Finding the sum,

Sum = [18(3 - 1)] + [18(6 - 1)] + [18(9 - 1)] + [18(12 - 1)] + [18(15 - 1)] + [18(18 - 1)] + [18(21 - 1)] + [18(24 - 1)]

= 36 + 90 + 144 + 198 + 252 + 306 + 360 + 414

= 1800

Hence the value of the sum is 1800.

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Answer: 28.26 square yards

Step-by-step explanation:

The diameter is twice the radius, so if the diameter is 6, the radius is 3.

[tex]A=\pi(3^{2})=9\pi \approx 9(3.14)=\boxed{28.26 \text{ yd}^{2}}[/tex]

Final answer:

The length and width of the rectangle constructed in this manner are approximately 64ft and 40ft respectively.

Explanation:

To find the length and width of a rectangle constructed in this manner, we can use the given information that the length is approximately 1.6 times the width and the sum of the length and width is 130ft.

Let's say the width is represented by 'w', then the length would be approximately 1.6w.

Based on the given conditions, we can write an equation: w + 1.6w = 130ft. Solving this equation, we get w = 40ft and the length is approximately 64ft.

Answer:

YoOoooo its 7 units

Step-by-step explanation:

The area of the object will be 63 square inches. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches.

All the dimensions are shown in the figure.

Then the area of the geometry is the combination of two rectangle and one triangle.

Area = area of rectangle 1 + area of rectangle 2 + area of triangle 3

Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2

Area = 40 + 20 + 3

Area = 63 square inches

Then the correct option is C.

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Answer: This shows, 'After 4 days, 88 boats will have passed under the bridge'.

Explanation:

Since, According to the question, Jacksonville allows an average of 22 boats per day to pass.

Thus we can say that number of boats is dependent on days and both are varying.

And, a function is the type of y=f(x), where x is independent variable while y is dependent variable.

So, we can take x for representing number of days and y for representing number of boats.

Thus, according to the question,  y= 22x.

if we take 4 days i.e. x=4 then y=22×4=88

⇒It takes 4 days for an average of 88 boats.

Which is showing by (4,88) on the given graph.

The total area of the figure, calculated by summing the areas of three rectangles, is 81 square yards.

The figure in the image is composed of three rectangles. To find the total area, we calculate the area of each rectangle and then sum them up.

The first rectangle has a length of 13 yards and a width of 5 yards. Using the formula for the area of a rectangle, which is length times width, we get an area of 13 yd * 5 yd = 65 square yards.

The second rectangle extends upwards with a length of 2 yards and a width of 5 yards. Its area is 2 yd * 5 yd = 10 square yards.

The third rectangle extends to the right with dimensions of 2 yd by 3 yd. Its area is 2 yd * 3 yd = 6 square yards.

Adding these areas together, we get a total area of 65 sq yd + 10 sq yd + 6 sq yd = 81 square yards.

The question probable may be:

Find the area of the figure. (sides meet at right angles.)

The area of the piecewise rectangular figure is 59 square yards.

How the area is determined:

The first rectangle:

Length = 13 yards

Width = 5 yards

Area of the first rectangle = 65 square yards (13 x 5)

The second rectangle:

Length =  13 yards

Width = 2 yards

Area of the second rectangle = 6 square yards (3 x 2)

Since the second rectangle reduces the first rectangle, we subtract:

Area of the piecewise rectangle = 59 square yards (65 - 6)

Thus, we can conclude that the area of the piecewise rectangular figure is 59 square yards.

A= x^3−6x^2y+12xy^2−8y^3

Final answer:

To use the ingredients efficiently, the franchise should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger, effectively utilizing all available buns, beef patties, and cheese slices.

Explanation:

To solve the problem of how many plain burgers, double cheeseburgers, and regular cheeseburgers you should make, you need to consider the ingredients as your limiting factors. Starting with the resources available: 15 buns, 21 beef patties, and 17 cheese slices. The recipes are as follows: plain burgers require 1 beef patty and 1 bun; double cheeseburgers require 2 beef patties, 2 cheese slices, and 1 bun; regular cheeseburgers require 1 beef patty, 1 cheese slice, and 1 bun.

Therefore, you should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger to utilize the ingredients efficiently without waste.