MATHEMATICS HIGH SCHOOL

Formulate the quadratic function that contains the points (-1,2), (0,-1) and (2,5). F(x) = 2x2 - x - 1 f(x) = 2x2 x 1 f(x) = 2x2 - x 2 f(x) = 2x2 - x - 2.

Answers

Answer 1
Answer:

Answer:

  (a)  F(x) = 2x^2 - x - 1

Step-by-step explanation:

The quadratic regression function of a graphing calculator does this nicely.

The one attached shows the function to be ...

  F(x) = 2x^2 -x -1

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Additional comments

The supplied point (0, -1) tells you the y-intercept is -1. That means the constant in the function's equation will be -1. Only one answer choice has that.

  F(x) = 2x^2 -x -1

__

As always, the first step in problem solving should be to look at the problem, and look at the available solution choices. Understanding these things will generally allow you to throw out answer choices that don't provide a sensible answer to the question. Here, that leaves you with only one answer choice, which is all you need.

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Urgent help! This is very important please help me fast! How do you do: Expand & simplify:(x 4)(x 2)Can you tell me how to work it out please?

Answers

so the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)

Equation: w = 112 + 8tChoose the ordered pair that is represented in the table.
(160, 6)
112+8(8)
(10, 192)
(5, 144)

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did and go it right

There are 250 students in a senior. of the 250 students, 102 are boys. there are 20 senior girls and 18 senior boys on the track team. What is the probablity a randomly chosen student from the senior class is a girl who does not run track?

Answers

If 102 are boys then 250 - 102 = 148 are girls.
If 20 girls run track, then 148 - 20 = 128 girls do not run track
probability a randomly chosen student from the senior class is a girl who does not run track = (probability the student chosen is a girl) * (probability the student does not run track)
= (148/250) * (128/250) = 128/250 = 62/125

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.

Answers

This answer uses NMF for which, if needed, the syntax can be found in my profile. Please ignore the LaTeX (the image), I cannot remove it/change it, and it is incorrect. The answer is: f(x)={π{{x}^{2}}/{4}+x(16-{πx}/{2}-x)}/{2}

Final answer:

The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.

Explanation:

A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).

From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.

Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.

Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.

Learn more about Function of Window Area here:

brainly.com/question/32386293

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The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.The bigger square is x+3 on all 3 sides.
The smaller square is x on every side.

Answers

Given:
Big square: side length = x + 3
Small square: side length = x

Area of a square = a²    where a represents the side length.

Area of big square = (x+3)²
A = (x+3)(x+3) 
A = x(x+3) + 3(x+3)
A = x² + 3x + 3x + 9
A = x² + 6x + 9

Area of small square = x²

Total Area = Area of Big square + Area of Small square
Total Area = x² + 6x + 9 + x²
Total Area = 2x² + 6x + 9

Reed wants to buy a new tent for an upcoming camping trip. The tent is marked down from its original price by 20%, and Reed has a coupon for an additional 10% off of the sale price. If the original cost of the tent was $175, what does Reed pay?

Answers

You would take 175 and multiply it by 0.20 which is 35. The you would subtract 35 from 175 because it is marked down so you would get 140. Next, you would take 140 and multiply it by 0.10 and get 14. Finally subtract 14 from 140 to get your answer which would be $126.
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