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mart [117]
3 years ago
7

Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0

Answer:

2x²-2x-24

Step-by-step explanation:

Something has roots of 4 and -3 we can write

(x-4)(x+3)

We then attach a constant, a that will ensure that it passes through the correct point

a(x-4)(x+3)

now plug in the numbers and solve for a

a(3-4)(3+3)= -12

a(-1)(6)= -12

-6a= -12

a=2

So we have

2(x-4)(x+3)

and now it's just a matter of mulitplying/simplifying things

(x-4)(x+3)= x²-x-12

2(x²-x-12)= 2x²-2x-24

artcher [175]3 years ago
3 0

Answer:

y = 2x² - 2x - 24

Step-by-step explanation:

Given a root x = a then the factor is (x - a )

Given roots are x = 4 and x = - 3 , the corresponding factors are

(x - 4) and (x - (- 3)) , that is (x - 4) and (x + 3)

The quadratic is then the product of the factors

y = a(x - 4)(x + 3) ← a is a multiplier

To find a substitute (3, - 12) into the equation

- 12 = a(- 1)(6) = - 6a ( divide both sides by - 6 )

2 = a

y = 2(x - 4)(x + 3) ← expand factors using FOIL

   = 2(x² - x - 12) ← distribute

y = 2x² - 2x - 24

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<=> x=-5

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K+ 6 ≥ 19, if k = 11
WINSTONCH [101]

Answer:

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Luba_88 [7]
The best way to go about this questions is to write out a formula in which x represents the original price of the dress: x*0.90=27. To see where the 0.90 came from, if Kate's dress was 10% off, she must have paid 90% of the original price (100%-10%=90%). Then, to convert a percentage to a decimal, move the decimal point twice to the left so 90% becomes 0.90. Then, our formula essentially means that 90% of some number (x) is equal to 27. To solve for x, divide both sides of the formula by 0.90 to get x=$30 which is the final answer.

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suppose the nightly rate for a three star hotel in paris is thought to be bell-shaped and symmetrical with a mean of 160 euros a
Westkost [7]

Answer:

95.44%

Step-by-step explanation:

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For X = 144 euros:

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For X= 176 euros

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Answer:

C. you can not prove that the triangles are congruent

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