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3 years ago

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Mathematics

1 answer:

Inessa [10]3 years ago

6 0

The equation becomes y =-0.7x²+5.4x+6 if the person who is 6 feet tall throws a ball into the air option first is correct.

<h3>What is a quadratic equation ?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

The standard form of a quadratic equation:

$\rm y =ax^2+bx+c$

Plug x = 0 and y = 6

6 = c ...(1)

Plug x = 1, and y = 10.7

10.7 = a + b + c ...(2)

Plug x = 2 and y = 14

14 = 4a + 2b + c ...(3)

After solving equation (1), (2) and (3) we get:

a = -0.7

b = 5.4

c = 6

$\rm y =-0.7x^2+5.4x+6$

Thus, the equation becomes y =-0.7x²+5.4x+6 if the person who is 6 feet tall throws a ball into the air option first is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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Jackson owes his sister Monica $15. Monica has a $10 bill in her pocket. Explain the meaning of zero in this situation .?

tia_tia [17]

It means she has zero ones, or no one dollar bills.

6 0

3 years ago

Hey, i need help with these (image attached)

Ilya [14]

Answer:

1. (3/5a^3b -5/6ab^3)^2

2. (x/3 +y/5)^2

Step-by-step explanation:

As you know, the square of a binomial expands like this:

(p +q)^2 = p^2 +2pq +q^2

The two "end" terms of the expansion are the squares of the terms of the binomial, and the middle term of the expansion is twice the product of the binomial terms (with the same sign as the binomial).

So, you can work this by ...

• check to see if the "end" terms are perfect squares. If they are, write the binomial as their sum, with the sign of the middle term

• check to see if the middlt term is double the product of the two binomial terms you just wrote. If it is, complete the problem by indicating the square of that binomial.

___

1. The square root of 9/25a^6b^2 is 3/5a^3b, so that will be one term of the binomial.

The square root of 25/36a^2b^6 is 5/6ab^3, so that will be the other term of the binomial. The sign of the middle term -a^4b^4 is negative, so our binomial is ...

(3/5a^3b -5/6ab^3)

The product of these two terms is (-1/2)a^4b^4, and the given middle term is twice that. The given trinomial is the square ...

9/25a^6b^2 -a^4b^4 +25/36a^2b^6 = (3/5a^3b -5/6ab^3)^2

___

2. The square root of 1/9x^2 is x/3. The square root of 1/25y^2 is y/5. The middle term, 2/15xy, is double the product of these terms, so the expression is the square ...

1/9x^2 +2/15xy +1/25y^2 = (x/3 +y/5)^2

7 0

3 years ago

Two friends went fishing on a lake. One friend’s lure went 23 feet below the lake’s surface, while the other friend’s lure sank

tatyana61 [14]

Answer:

58 feet

Step-by-step explanation:

Find the difference by subtracting 23 from 81.

81 - 23

= 58 feet

8 0

3 years ago

Read 2 more answers

A test to detect an infection gives a positive result 98% of the time if a person is infected, and it is 97% accurate for people

Mrrafil [7]

The answer is c.) 2%. Since the question is talking about false negatives, meaning the chance that the results are false, then we take a look at the 98% which represents the chance of giving an accurate result for the people who are not infected meaning for those who are positive. Thus, the answer is 2% because this is the remaining percentage if 100-98%.

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4 years ago

In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=2x+15 m ∠ A = 2 x + 15 and LaTeX: m\angle B=x m ∠ B = x . Fi

Margarita [4]

Answer:
x = 55

Explanation:
In a parallelogram, the sum of each two consecutive angles is 180°.

In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°

Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55

Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°

Hope this helps :)

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3 years ago