<h2>
Hello!</h2>
The answer is:
<h2>Why?</h2>
The quadratic formula is:
We have that:
By substituting we have:
Have a nice day!
Answer:
1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+1=−x+4
Step 1: Add x to both sides.
2x+1+x=−x+4+x
3x+1=4
Step 2: Subtract 1 from both sides.
3x+1−1=4−1
3x=3
Step 3: Divide both sides by 3.
3x
3
=
3
3
x=1
BRAINLIEST?
The answer would be 1/3 of the population is children. All you need to do to solve this problem is divide the portion of the population (in this case, children) by the total of the population. Therefore, you have 1342/4026 which reduces to 1/3. If you would like to represent this as a percent, it would be approximately 33.33%
Answer:
You want to make it so you have an even amount of both, correct? This is where you need to know your multiples... here is what I got...
Step-by-step explanation:
By 4 packs of hotdogs and 5 packs of hotdog buns, this way you end up with 40 of each.
Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
