Answer:
-3 (D+5)
Step-by-step explanation:
Problem: -3D -15
what you do is find the highest number each one is divisible by.
In this case they can both be divided by -3.
Bring it out of the parenthesis and leave the rest inside
Thus leaving -3 (D+5)
Answer:
Equations:
y + 10x = 23
y + 15x = 33
cost of basket with 25 apples = $53
Step-by-step explanation:
A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"
Cost of basket and 10 apples is $23. We can transform this statement into an equation as:
y + 10x = 23 Equation 1
Similarly,
Cost of basket and 15 apples is $33. This gives us another equation:
y + 15x = 33 Equation 2
Subtracting Equation 1 from Equation 2 , we get:
y + 15x - (y +10x) = 33 - 23
5x = 10
x = 2
Using the value of x in equation 1, we get:
y + 10(2)= 23
y = 23 - 20
y = 3
This means, cost of basket is $3 and cost of each apple is $2.
Now we can calculate the cost of basket with 25 apples, which will be:
Cost of basket + Cost of 25 apples = Total Cost
3 + 25(2) = 3 + 50 = $53
Right now that equation is a function of time, h(t), height with respect to time. If the baseball is on the ground, it has no height. In other words, its height = 0. So if we set the equation equal to 0 and solve for t, time, that will tell us the time that the ball had a height of 0. If you plug those numbers into the quadratic formula, which is the best and most efficient way to factor a quadratic, you will get that the times are -.0615528128 and 4.061552813 seconds. The 2 things in math that will never EVER be negative are time and distance/length. So we know that the ball will not hit the ground at -.062 seconds. Therefore, it hits the ground 4.06 seconds after it was hit.
<span>22.35200 m / s so the answer is going to be a or c
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