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BartSMP [9]
3 years ago
9

Write the quadratic equation whose roots are −6 and 4, and whose leading coefficient is 3.

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

The quadratic equation is  ( 3x^{2} +6x -72)

Step-by-step explanation:

The quadratic equation form f(x) = a ( x- α) (x-β)

The roots are −6 and 4 and whose leading coefficient is 3.

the quadratic equation is f(x) = 3 ( x- (-6)) (x-4) = 3( x^{2} -4x +6x-24)

The quadratic equation is 3( x^{2} +2 x -24)

<u>Final answer</u>:-

The quadratic equation is  ( 3x^{2} +6x -72)

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Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
kumpel [21]

Answer:

12m

Step-by-step explanation

If the height of the ball after x seconds be modelled by the equation

h(x)=−(x−2)² +16

The height of the ball at the time it is thrown will be the height at the initial time. At that point that it is initially thrown the time is 0seconds i.e x = 0

To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;

h(0) = -(-0-2)²+16.

h(0) = -(-2)²+16

h(0) = -4+16

h(0) = 12

The height of the ball at the time the ball is thrown is 12m

4 0
3 years ago
Read 2 more answers
In fig if x+y=w+z then prove that AOB is a line.​
frez [133]

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

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∣ Angles around a point.

(x+y)+(w+z)=360

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(x+y)+(x+y)=360

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∣ Given x+y=w+z

2(x+y)=360

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(x+y)=180

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Hence, x+y makes a linear pair.

Therefore, AOB is a straight line

4 0
3 years ago
Enter the values for the highlighted variables that
iris [78.8K]

Answer:

Step-by-step explanation:

Enter values of which highlighted variable?

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3 years ago
What is the amount of interest earned with a deposit of 7,000 at 6.5% for 120 days
aev [14]
The interest figure always means the interest for a year.

120 days is 1/3 of a year, so you'll only earn 1/3 of 6.5% .

6.5%  =  0.065

1/3 of that is 0.02167 .

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3 0
3 years ago
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Can someone help me on this question please
Sergio039 [100]

Answer:

12111

Step-by-step explanation:

Eleven thousand- 11000

Eleven Hundred-1100

Eleven-11

11000+1100+11=12111

Is this what you meant? Figures as in numbers?

6 0
3 years ago
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