Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
Answer:
Company B
Step-by-step explanation:
A is $0.15/min
because 76/500
B is $0.12/min
because 54/450
Company B is cheaper so it would be the better deal
x > 7 x < 10
7 o---------------------o 10
This is not an empty set. x contains all of the values between 7 and 10.
Answer:
D
Step-by-step explanation:
When dividing fractions, multiply the first number by the reciprocal of the second number
2/5 ÷ 1/3
First, find the reciprocal of the second number: 1/3
To find the reciprocal, flip the numerator (top number) and denominator (bottom number)
1/3-->3/1
Now, multiply 2/5 and 3/1
2/5 * 3/1
Multiply across the numerators and denominators
6/5
Answer:
The answer is 5/6.
Step-by-step explanation:
Lets start with a=1.
a+1=2, which is the denominator. (1/2)
Taking the same number as numerator, now, consider a=2.
a+1=3, denominator.(2/3)
Now, let a=3.
a+1==4, denominator for a=3. (3/4)
If continued a becomes equal to 4.
a+1=5, which is also the denominator. (4/5)
Now, since the denominator is 5, let a=5.
a+1=6, which will become the denominator. (5/6)
Thus the series follows a pattern of a/a+1.
