If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .

Answers

Answer 1
Answer:

Answer:

(-√(65) - 3 )/(4), (√(65) + 3)/(4)

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: x = (-b +/-√(b^2 - 4ac) )/(2a)

Plug in a for 2, b for 3, and c for -7 and you should find your roots.


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To determine the area of a rectangle, one strategy is to split the rectangle into smaller pieces, and determine the smaller areas first. Explain how this strategy relates to binomial multiplication.

Answers

Area of the rectangle is determined by Binomial Multiplication as given below.

What is Binomial Multiplication ?

Binomial Multiplication follows FOIL method , Firsts , Outer terms , Inner Terms , Last Terms.

A rectangle is given and area of the rectangle has to be determined by splitting it into smaller rectangles.

Let the rectangle is of 5*3 ft

To determine the area the rectangle has been split into rectangles of 15 rectangles as seen in the figure attached.

Area of the smaller rectangle is given by Length * Breadth =  1*1

Let us consider x = 1

Then

The side of the rectangle will be ( x+4) ( x+2)

On solving this by FOIL

x² + 6x +8

Area = x² + 6x +8

Area = 1 + 6 + 8 = 15 sq.ft

Area of the bigger rectangle =  

= ( Area of 1st rectangle + Area of 2nd Rectangle + ...... +  Area of 15th Rectangle)

= 15 * ( Area of the smaller rectangle)

Area of the bigger rectangle  = 15 * ( 1 * 1)

To know more about Binomial Multiplication

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Say you have a big rectangle. You can split that big rectangle up into little rectangles, say unit rectangles whose areas are 1, and then count up all those little rectangles to find the area of the larger rectangle. So for instance:
I have a rectangle that has an area of 4ft^2
I can split up that rectangle to smaller rectangles of 1ft^2
Then I can count how many smaller rectangles I have and deduce the area of the larger rectangle form that -> 1ft^2 * 4 = 4ft^2

Which quadratic function has a leading coefficient of 2 and a constant term of –3? f(x) = 2x3 – 3 f(x) = –3x2 – 3x 2 f(x) = –3x3 2 f(x) = 2x2 3x – 3

Answers

The standard form of quadratic function is:
f(x) = a x² + b x + c
where: a - a leading coefficient,  c- constant term:
a = 2,  c = -3
Answer: D) f( x ) = 2 x² + 3 x - 3

Answer:

tHE ANSWER IS d

Step-by-step explanation:

Question 1 (1 point)A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a
cheetah running at a constant speed. In the next question, explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270

Answers

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

Honey you’re smart you can figure this out you’re gonna do great things make,

What are some proxy sites that are not blocked by Lightspeed Systems?

Answers

Most proxy sites eventually get blocked. What you can try is using a Tor browser, or translating websites names using web translators such as google translate. The most boring thing to do would be just to open a find page from google and try out one at a time.

What is the value of this expression?

(9^2+79)/2^2

(its a fraction)

Answers

Hey there!

Answer: \boxed{40}

Explanation:

Simplify to solve.

\boxed{40}\text{ is your answer.}

Hope this helps!

\text{-TestedHyperr}

Answer:

40

Step-by-step explanation:

(9^2 +79) /2^2

(81 +79) /4

160/4

40

The circular ring of the fountain has a radius of 9 feet. what is the area of the ring?a. 4.5 square feet

b. 28.26 square feet

c. 63.61 square feet

d. 254.34 square feet

Answers

The area of the circular ring of the fountain with a radius of 9 feet is approximately 254.34 square feet.

To find the area of the ring, we need to subtract the area of the smaller circle from the area of the larger circle. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Therefore, the area of the larger circle is π(9^2) = 81π square feet, and the area of the smaller circle is π((9/2)^2) = 20.25π square feet.

Subtracting the area of the smaller circle from the area of the larger circle, we get:

81π - 20.25π = 60.75π

Using the approximation π ≈ 3.14, we get:

60.75π ≈ 60.75(3.14) ≈ 190.845

Therefore, the area of the ring is approximately 190.845 square feet, which is closest to option (d) 254.34 square feet.

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