Answer:
A and C
Step-by-step explanation:
I just answered the question.
Answer:
x = 9
Step-by-step explanation:
To solve these problems, you first set up an equation representing the information given.
6x = x² - 27
This turns into a quadratic equation which you need to factor out.
0 = x² - 6x - 27
You want to choose two numbers that multiply to -27, and add up to -6
0 = (x - 9)(x + 3)
If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.
x = 9, -3
Since it asks for the positive solution only, the answer is x = 9.
I hope this helps!
Answer:
3,000,000
Step-by-step explanation:
It is closer to 3 million than it is to 4 million, when rounding to millions if the hundred thousand place is a 4 or below it is rounded to that million and if it is 5 of more you round it to the million up.
hope this helped!
Answer:
1.77 seconds.
Step-by-step explanation:
The height of an object after it is released can be modeled by the function f(x) = - 16t² + v t + s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet.
Now, if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, then we have to find the time after which his teammate will catch the ball.
So, we can write
0 = - 16t² + 25t + 6
⇒ 16t² - 25t - 6 = 0
Now, using the quadratic formula we can write
⇒ seconds. (Answer)
{Neglecting the negative root as t can not be negative.}
Two equations two unknowns
1. 3a + 6s = 60
2. 5a + 3s = 44
solve for a in 1, a = (60 - 6s)/3 = 20 - 2s
substitute into 2
5(20 - 2s) + 3s = 44
solve for s
s = 8
substitute in 1
a = 4