Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Given t = time and h = height
From the equation.
h is the axis od symmetry
(h, k) is the vertex.
In the equation, h is 1 and k is 16.
So the maximum value is 16 at t = 1.
The ball reaches maximum at 16 and it takes t = 1 to reach the maximum point.
37/40 37 divide it by 25 and it comes out 37 and if you divide 25 into 1000 in comes out to be 40
I believe it is when the forces action on the object are balanced. Hope it helps!
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
Step-by-step explanation:
Step 1 :
The fixed charges for the pick up = $3
Charges per mile = $1.50
Let s denote the total miles driven and t be the total cost for the trip
This can be represented by the equation
t = 3 + 1.5s
Step 2:
Distance traveled by Jonathan in his trip = 10 miles
So cost for riding 10 miles is
t = 3 + 1.5(10) = 3 + 15 = $18
The cost for 10 mile taxi ride is $18
Step 3 :
If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3
Step 4 :
Answer :
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
