Answer:
The formula for this quadratic function is x*2 +6x+13
Step-by-step explanation:
If we have the vertex and one point of a parabola it is possible to find the quadratic function by the use of this
y= a (x-h)*2 + K
Quadratic function looks like this
y= ax*2 + bx + c
So let's find the a
y= a (x-h)*2 + K where
y is 13, x is 0, h is -3 and K is 4
13= a (0-(-3))*2 +4
13=9a +4
9=9a
9/9=a
1=a
The quadratic function will be
y= 1(x+3)*2 + 4
Let's get the classic form
(x+3)*2 = (x+3)(x+3)
(x*2+3x+3x+9)
x*2 +6x+13
f(0) = 13
Money to be spent per day <$100
To rent a car:
Minimum amount per day= $45
Amount per mile= $0.25
Hence amount spent depends on distance travelled.
If distance travelled= x; fee for travel= 0.25x
Hence finally we need the fare to be less than $100
And fare is $45+0.25x
So the final inequality is 0.25x+45<100.
Hope it helps.
Answer:
$2200
Step-by-step explanation:
200×10=2000
2000+(2000÷10)=2200
First solve for one variable
(I chose bottom equation because it’s easier)
Get y alone: Y = 5x
Now that we have y we can plug y into the top equation
Plug in 5x for y: 2x + 5x = 7
Solve for x: 7x = 7
X = 1
Now plug in the x value into the bottom equation to solve for y
Y = 5(1)
Y= 5
So, x = 1 and y = 5
83 and 89 are prime numbers between 80 and 90.
