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3 years ago

Give a real-life situation for the sum -15 + 10

Mathematics

1 answer:

Andrei [34K]3 years ago

4 0

Jeff is 15 years younger than Joe who is 10

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A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

tia_tia [17]

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

$\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}$

Therefore:

$\displaystyle x=\frac{64\pm8\sqrt{59}}{32}$

Simplify:

$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

$\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08$

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

7 0

2 years ago

Factor completely -2x^3 + 6x^2

Bumek [7]

We can factor a -2 and an x^2 out of this using GCF.

<h3><u>-2x^2(x - 3) is what we're left with, and is the fully factored form.</u></h3>

3 0

3 years ago

How many positive integers less than 250 are multiples of 5, but not multiples of 10?

SashulF [63]

Answer:

Step-by-step explanations: sometimes 5 times (number) is 250 but in this case your teacher did not tell you to multiply it by 10 but instead multiplying it by 5

8 0

3 years ago

Read 2 more answers

9) p(a) = a) – 3a; Find p(-2)<br> A) 18<br> B) 198<br> C) -110<br> D) -2

Afina-wow [57]

ANSWER: B)198

Have a great day!

6 0

2 years ago

ΔABC is dilated by a factor of 3 to produce ΔA'B'C'.

Rus_ich [418]

Answer:

Option B

Step-by-step explanation:

Dilation does not change the value of angle.

so angle measurement should be same as before .

Angle A= 37

Scale factor is 3 so multiply length by 3

So A'C'= 3×5 =15

7 0

2 years ago