Find the product of (x − 3)2.

Answers

Answer 1

Answer:

The product of the given expression (x − 3)^2 would be equal to x^2 - 6x + 9.

What is a solution for a quadratic equation?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

Example: For x² + 5x + 6 = 0, the solutions are x = -3, and x = -2.

The graph of y = x² + 5x + 6 will intersect the x-axis at x= -3 and x=-2 (and those are the only intersection it will do on x-axis).

The given expression is

$(x - 3)^2\n\nx^2 - 2(x)(3) + (-3)^2\nx^2 -6x + 9$

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Answer 2

Answer:

Answer:

x2 − 6x + 9

Step-by-step explanation:

Took a test and got it right

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Divide 7/24 by 35/48 and reduce to lowest fraction
Which equation represents the line that passes through the points (6 -3) and (-4 -9)
Oh my gosh I don't have no idea, Please help and don't forget to show your work.

NEED HELP ASAP PLEASE!

Answers

Answer:

The answer to your question is the third option

Step-by-step explanation:

a) This first option is not correct because if a number is less or equal to zero does not affect in if it is a function or not.

b) It option is incorrect because each value of x has two values or y and the defition of function says that x must have only one y value.

c) This is the definition of function, it's correct

d) This option is wrong, is similar to the first option.

You are buying two kinds of coffee.1 pound of premium coffee costs $3.00.1 pound of regular coffee costs $2.00.You have $15.00 to spend and want to buy 1 pound of premium coffee.Use the number line to draw the solution set that shows all possible numbers of pounds of regular coffee that you could buy. Must be answered as an inequality: greater than, less than, greater than or equal to, less than or equal to, equal to.

Answers

Answer:

Part 1) The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.

$x\leq 7.5\ pounds$

Part 2) $m+n=(0.76x-0.28)$

Step-by-step explanation:

Part 1)

Let

x-----> the number of pounds of regular coffee

we know that

The inequality that represent the situation is

$2x\leq 15$

Solve for x

Divide by 2 both sides

$x\leq 15/2$

$x\leq 7.5\ pounds$

The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.

The solution of the inequality is the interval ------> (-∞,7.5]

but the number of pounds cannot be a negative number

therefore

The solution is the interval -----> [0,7.5]

see the attached figure

Part 2) we have

$m=0.56x-0.25$

$m=0.20x-0.03$

Adds m and n

$m+n=(0.56x-0.25)+(0.20x-0.03)$

Group terms that contain the same variable

$m+n=(0.56x+0.20x)+(-0.25-0.03)$

Combine like terms

$m+n=(0.76x-0.28)$

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters.What is the area A of the cross section of the column?
Give your answer in terms of pi.

Answers

Answer:

$A=81\pi\ m^(2)$

Step-by-step explanation:

Step 1

Find the radius of the circular cross section

we know that

The circumference is equal to

$C=2\pi r$

we have

$C=18\pi\ m$

substitute and solve for r

$18\pi=2\pi r$

simplify

$18=2 r$

$r=9\ m$

Step 2

Find the area of the circular cross section

The area of the circle is equal to

$A=\pi r^(2)$

we have

$r=9\ m$

substitute

$A=\pi (9)^(2)$

$A=81\pi\ m^(2)$

How would i do this problem
slope= -2, y-intercept = 7

Answers

SINCE the slope is -2 it would be like this -2/1 but first plot the y-intercept onto the graph and go down 2 and over 1.

the equation of the line is
y=mx+c
y=-2x+7

A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.Which expression represents how many teaspoons of butter Melinda should use?
A.
0.6 * 2

B.
1.6 * 2

C.
0.4 * 2

D.
1.4 * 2

Answers

The correct expression to represent the additional 40% serving to the recipe that calls for 2 tsp of butter is:

1.4 * 2 = 2.8 tsp. Choice D.

A swimming pool is 30 feet long, 20 feet wide, and 6 feet deep. There are 7.5 gallons of water in 1 cubic foot. How many gallons will the pool hold?

Answers

Volume = (30ft x 20ft x 6ft) x (7.5 gal/ft³)

   = ( 3,600 ft³ ) x (7.5 gal/ft³)

   = (3,600 x 7.5) gal

   = 27,000 gal .

the swimming pool will hold 27,000 gallons of water.

To calculate the number of gallons the pool will hold, we need to find the volume of the pool first and then convert it into gallons.

The volume of the pool can be found by multiplying its length, width, and depth:

Volume = Length × Width × Depth

Volume = 30 feet × 20 feet × 6 feet

Volume = 3600 cubic feet

Next, we convert the volume from cubic feet to gallons. We know that there are 7.5 gallons in 1 cubic foot:

Volume in gallons = Volume in cubic feet × 7.5

Volume in gallons = 3600 cubic feet × 7.5

Volume in gallons = 27,000 gallons

Therefore, the swimming pool will hold 27,000 gallons of water.

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What is 0.195 rounded to the nearest hundredth

The diameter of the Starbucks venti(large) lid is 3.3 inches. The tall(small) gas a diameter of 2.6 inches. What is the difference in the circumference of the two cups?