A healthy adult cheetah can run 110 feet per second. How fast can a cheetah run in miles per hour

The graph of a polynomial S(x) = (2x - 3)(x – 4)(x+3) has x-intercepts at 3.x values.

dezoksy [38]

Answer:

Step-by-step explanation:

x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:

2x - 3 = 0 and

2x = 3 so

x = 3/2

In the second:

x - 4 = 0 so

x = 4

In the third:

x + 3 = 0 so

x = -3

So the x-intercepts in the correct order are x = 3/2, 4, -3

6 0

3 years ago

A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz

Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = $v_0t+\frac{1}{2}at^2$ and filling in:

$-15=(0)t+\frac{1}{2}(-32)t^2$ which simplifies down to

$-15=-16t^2$ so

$t=\sqrt{\frac{-15}{-16} }$ so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = $(80)(.968) +(0)(.968)^2$ and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0

3 years ago

Tyler buys 3 cans that each contain 3 quarts of blue paint, and he buys 1 can that contains 2 quarts of white paint. What is the

Serga [27]

Tyler has 3 cans of blue paint. Each contains 3 quarts separately. What you need to do is multiply 3 and 3, which would total to 9 quarts. Since you need to include exponents, I´m guessing 3 cubed (3 to the third power) will work. He also buys 1 can of white paint, which only contains 2 quarts. You should add that to the 9 quarts we got from the last steps. I am not sure if this answer is entirely correct, but my guess is 3^3 + 2 = 11 quarts.

6 0

3 years ago

Read 2 more answers

What is the distance between R(–3, 1) and S(4, 5)?<br><br> Round to the nearest tenth.

Fed [463]

The answer is (-7,4)

$\binom{ - 3}{1} - \binom{4}{5} = \binom{ - 7}{4}$

good luck

3 0

3 years ago

What is the COMMON DIFFERENCE of the following sequence: 10, 0, -10,

yulyashka [42]

10 is your common difference

6 0

3 years ago