Question 5
To use the quadratic formula, we need to rewrite the equation so that all the terms are on one side: by subtracting (x+13) from both sides, we get that 
. The quadratic formula tells us that the roots of this are 
, where a=1, b=-1, and c=-6. This is equal to 
, which gives us the two roots -2 and 3.
Question 7
If you look at the attached graph, you will see that the graph of x^2-x-6 intersects the x-axis at the points (-2,0) and (3,0).
Question 8
The roots are the same. Both finding the x-intercepts and solving for the roots of a quadratic using the quadratic formula will give the values of x for which the function value is zero.
Answer:
94
Step-by-step explanation:
Answer:
1. 3,168 in³
2. 
Step-by-step explanation:
1. The total volume of the tank - as calculated by the formula for a rectangular prism - 
, where L is length, W is width, and H is height. 15 · 24 · 11 = 3,960 in³. Next, we divide 3,960 by five to get 792. If 792 in³ is the air at the top, we can then subtract that from 3,960 and get 3,168. So there are 3,168 in³ of water in the tank.
2. If we dump 3,168 in³ of water into a 12,672 in³ tank, then 
of the tank will be full. Simplified, that is 
. So that means of the tank will be empty.
Hope this helps! Feel free to ask any questions!
Answer:
Step-by-step explanation:
9x - 1 / 2 + 9/2 x = 0.128886 (43)
2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)
= x1 + 24 - 3/4 + 8
9/3 - 1 x = /3
Laura paddles in her canoe at a speed of 5 mph for 5 miles.
As we know that
Substitute the values we get
Laura hops on her windsurfer and sails for 12 miles at a speed of 6 mph.
Again using the above formula we can write
Hence from equation (i) and (ii), we can say total time of travel
