Answer:
the last option
Step-by-step explanation:
not exactly sure how to explain it :/
Answer:
5 inches
Step-by-step explanation:
the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5
Answer:
x=16
Step-by-step explanation:
7x−2(3x−5)=26
Use the distributive property to multiply −2 by 3x−5.
7x−6x+10=26
Combine 7x and −6x to get x.
x+10=26
Subtract 10 from both sides.
x=26−10
Subtract 10 from 26 to get 16.
x=16
Graph if needed:
Answer:
Yes.
Step-by-step explanation:
Exponential Parent Function: 
If we write out the equation:

Whenever we have an exponent of <em>x</em>, it is a exponential function. The 5 is simply the base of the exponent and the 6 means we are vertically stretching the graph by a factor of 6.
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.