Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:
Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:
Complete the square as following:
Now you must rewrite it as following:
Then:
h=7
Answer:
182
Step-by-step explanation:
5 yards = 5*3 = 15 feet
15 feet = 15 * 12 = 180 inches.
There are 2 more inches in the ribbon. 180 + 2 = 182 inches.
In order to find which one is or isn't, you need to solve for the value of 'x'.
2x + 15 = 35
2x = 20
x = 10
Substitute x =10, into equation. If each side are not the same (i.e. 0=2), then that's the equation that is not equivalent,
Answer is B
Double check this. Chur! :)
Hope this makes sense.
Answer:
Step-by-step explanation:
The position function is
and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.
and factor that however you are currently factoring in class to get that
t = -.71428 seconds or
t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).
We all know that time will never be a negative value, so the time it takes this ball to hit the ground is
1.42857 seconds (round how you need to).
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 7x = 15 ( subtract 15 from both sides )
2x² + 7x - 15 = 0 ← in standard form
To factorise the left side
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = + 7
The factors are + 10 and - 3
Use these factors to split the x- term
2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )
2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term
(x + 5)(2x - 3) ← in factored form
