Answer:
2.16 s
Step-by-step explanation:
When it hits the ground, height h=0 hence
0=45-10t-5t^{2}
5t^{2}+10t-45=0
t^{2}+2t-9=0
Using quadratic formula
x=-1+\sqrt 10\\ x=-1-\sqrt 10
Since time can't be negative, -1+\sqrt 10
t=2.16 s
He can get 2 toppings on his pizza because 20-14=6 and 2*3=6
Answer:
Step-by-step it saying to divid 6/7 and 3
The function in vertex form is ⇒ 3rd answer
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- a is the coefficient of x²
- (h , k) are the coordinates of the vertex point
- , wher b is the coefficient of x
- k = f(h), that means value f(x) when x = h
∵ f(x) = x² + x + 1
∴ a = 1 , b = 1
∵
- Substitute the values of a and b to find h
∴
∴
Substitute the value of x in f(x) by the value of h to find k
∵ f( ) =
∴ f( ) =
∴ f( ) =
- k is the value of f(x) when x = h
∵ h =
∴ k = f( )
∴ k =
Substitute the values of a, h and k in the vertex form
∵ f(x) = a(x - h)² + k
∵ a = 1 , ,
∴
∴
The function in vertex form is
Learn more:
You can learn more about the quadratic functions in brainly.com/question/9390381
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The number of miles she drove the van for is 250 miles
<h3>Solving linear equations </h3>
From the question, we are to determine the number of miles Shelly drove the van
The given equation which shows the relationship between the number of days she rented the van, d, and the number of miles she drove the van, m is
20d + 0.7m = 235
Now, if she rented the van for 3 days, that is, d = 3
Putting the value of d = 3 into the equation to determine the value of m
We get
20(3) + 0.7m = 235
60 + 0.7m = 235
0.7m = 235 - 60
0.7m = 175
m = 175 / 0.7
m = 250
Hence, the number of miles she drove the van for is 250 miles
Learn more on Solving linear equations here: brainly.com/question/19081972
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