Answer:
Where's the question or picture?
Step-by-step explanation:
Answer:
Step-by-step explanation:
379 is a prime number. Only 2 numbers will divide into it. 1 and 379
So you could do this
379 * 8 = 3032
(379 * 2 ) * 4 = 758 * 4 = 3032
(379 * 4 ) * 2 = 1516 * 2 = 3032
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
Answer:
10.7x + 5
Step-by-step explanation:
(3.5x - 5) + (7.2x + 10)
Take out the parenthesis so it can be easier to see
3.5x - 5 + 7.2x + 10
Combine like terms
(3.5x and 7.2x) and ( -5 and 10)
10.7x + 5
And you cannot simplify it anymore
Hope this helped!
Have a supercalifragilisticexpialidocious day!
37k (cost of the materials for each kite) plus 28k (the labor for each kite) plus 6,000=x (the total cost). With this equation you can plug in any number of kites so...
37k+28k+6,000=x Combine like terms...
65k+6,000=x Plug in k...
65(170)+6,000=x Multiply...
11,050+6,000=x Add...
x=17,050
