(a) <em>Slope and intercept
</em>
In the equation y = 2x +8, the coefficient of x is the slope and the constant is the y-intercept.
Thus,
slope = 2; y-intercept = 8
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(b) <em>Rate of change and initial amount
</em>
The rate of change is the slope. The units of y are baskets of apples and the units of x are hours. So,
rate of change = 2 baskets of apples per hour
The initial amount when x = o.
When x = 0, y = 8. so
Initial amount = 8 baskets of apples
===============
(c) <em>Graph
</em>
Your graph should look something like the one below.
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
(◔‿◔)
Answer:
Step-by-step explanation:
use the comparison method
3x + 1 = 3x - 3
1 = -3
the expression is false for any value of x and y , so there no solution
<u><em>Answer:</em></u>
y^2 = 28x
<em><u>Step-by-step explanation:</u></em>
Since the directrix is horizontal, use the equation of a parabola that opens left or right.
(y−k)^2 = 4p(x−h)
Find the vertex.
(0,0)
Find the distance from the focus to the vertex.
p = 7
Substitute in the known values for the variables into the equation
(y−k)^2 = 4p(x−h).
(y−0)^2 = 4(7)(x−0)
Simplify.
<em>y^2 = 28x</em>
Answer:
3 and a half
Step-by-step explanation:
Since it is half in a day they will lay 3 eggs and an egg will be in the process of coming