Answer: The ball will hit the ground 4 seconds after being thrown.
Step-by-step explanation:
By definition, the ball hits the grounds when the height is zero.
Then, knowing that the Quadratic function that models that situation is:

You can make it equal to zero:

Now you can use the Quadratic formula:

In this case you can identify that:

Therefore, knowing these values, you can substitute them into the Quadratic formula and then evaluate, in order to find the solution:

Choose the positive solution.
Then, the ball will hit the ground 4 seconds after being thrown.
For problems like these, it's very helpful for looking at key words. 'How many more' suggests that one value is greater than the other by a certain amount, which means subtraction. Let's do the same for this equation.
If 165 is m greater than 130, then this means
.
This will also mean that m is 130 less than 165. To solve this, isolate the variable and subtract 130 from both sides:

We will end up with m = $35. To prove this, plug 35 into the m value as shown below:
, so the answer is $35 more is needed.
theres a calculator yoy can buy, it makes it a lot easier: Texas Instruments TI-84 Plus. its a bit big but it works well.
<u>Option A)</u> when y=6 and w= 2, <u>Option B)</u> when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
<u>step 1</u>: let us <u>assume that x=3</u>, since it is given that x>2.
<u>step 2</u>: substitute the value of x=3 and each options in the inequality
<u>step 3</u>: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).