Answer:
(-7,-4)
Step-by-step explanation:
There are 2 different ways to solve a system of equations and the one I'm going to show you will work for all systems. To start we will solve one of the equations for either X or Y it doesn't matter which one so I will choose the second one. Divide both sides by negative 4 and you will have the solved equation. x=1+2y Now we know what x equals so we can plug "1+2y" into the other equation where we see an X and we will get -8(1+2y)=24-8y and since we only have one variable now we can solve to get what Y is. The first step is distributing -8-16y=24-8y now lets put the Y's together on one side and the numbers together on the other -32=8y and just divide both sides by 8 to get the value of Y -4=y Now that we have Y we can plug -4 into either equation as Y to get the value of X I will use the second equation. -4x=-4-8(-4) and solve for X -4x=-4+32 -4x=28 x=-7 So now we have x and y and we can write it as out solution (-7, -4)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
-9 because 2+7=9 so the negative part oh then must be -9
The answer you are looking for is C my friend
Answer:
11/4 seconds
Step-by-step explanation:
We can see from the given equation that the height at the diving board is h = 3.
This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.
To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.
h(t) = 3
h(t) = -4t^2 + 11t + 3 = 3
-4t^2 + 11t + 3 - 3 = 0
-4t^2 + 11t = 0
t*(-4t + 11) = 0
so h(t) = 3 when t = 0 and when t = 11/4 sec
we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.
the diver is back at the height of the diving board at t = 11/4 sec
