The min or max of a parabola/quadratic function is the vertex
for
y=a(x-h)²+k
the vertex is (h,k)
so
vertex/min is at (-1,2)
h=-1
k=2
y=a(x-(-1))²+2
y=a(x+1)²+2
find a
given, (2,20) is on the graph
20=a(2+1)²+2
20=a(3)²+2
20=9a+2
minus 2 both sides
18=9a
divide by 9
2=a
y=2(x+1)²+2 is da equation
3rd one
f(x)=2(x+1)²+2
Answer:
3km
Step-by-step explanation:
If they are walking 3km for every hour that they walk, then in 1 hour they will walk 3km.
We are given that a coin is toseed with two possible outcomes (head or tails) and a ball from a ball with balls of three different colors is picked.
We have that the possible outcomes are all possible combinations of the faces of the coin and the color of one of the balls.
Therfore, if:

The possible combinations are:

Therefore, the right answer is C.
Radius of design= 18 in
Area of design= pi*r^2
= 3.14*324
= 1017.36 sq. in
1017.36/144
= 7.065 sq. ft
7.065*35
= 247.275
Therefore, the cost of building the design costs $247.275 to make
Answer: 80$
Step-by-step explanation:
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
9x=2x+80
Now let us solve for x.
9x-2x=80
7x=80
x=\frac{80}{7}
Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).
\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}
Upon cancelling out 7 from numerator and denominator we will get,
\text{ Amount of money that Egil will get}=80
Therefore, Egil will get $80.