Answer:
8. The coordinates (0,0) represent the fact that when 0 minutes has passed, the horses have gone 0 miles because they hadn't started yet.
9. From the graph, it looks like horse A takes 4 minutes and horse B takes 2.5 minutes (aka 2 minutes and 30 seconds) to travel 1 mile.
10. For A: y = (1/4)x
For B: y = (2/5)x
11. For A: 3 miles
For B: (24/5) miles, or 4 and (4/5) miles.
12. Can't see the entire problem sorry.
Step-by-step explanation:
9. You find this by going to y=1 and look towards the right till you find the point the line intersects with y=1. Then find the x value by finding the corresponding number on the x axis.
10. A linear function will look something like this: y = mx+b, where y is the y value, x is the x value, m is the slope, and b is the y-intercept. Since both lines start from 0, you don't have to write the y-intercept since there's no point in writing +0. To find slope, you find delta y over delta x. Basically just find the difference of two y values and the difference of two x values from the same coordinate in the same order. I know that sounds really confusing but your teacher will probably teach this later on.
11. x represents the time, so just substitute x as 12 in the equation.
Answer:
(x-10) (x+1) =0
x=10 x=-1
Step-by-step explanation:
x^2 -9x-10 =0
Factor
What two numbers multiply to -10 and add to -9
-10*1 = -10
-10+1=-9
(x-10) (x+1) =0
Using the zero product property
x-10 = 0 x+1=0
x-10+10=0+10 x+1-1=0-1
x=10 x=-1
These are the x intercepts
Answer:
176
Step-by-step explanation:
Usually you'll follow PEMDAS & the left->right rule, however, as you are only multiplying and dividing, it does not matter.
22/2 = 11
11 * 16 = 176
176 is your answer.
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We need to find the other base also in order for us to find out what the area of this is.
For this we must use foil and multiply
4*6
4*-5i
-i*6
-i*-5i
to get (respectively to above)
24
-20i
-6i
5i^2
combine all of those to get:
24-26i+5i^2
now, i squared is equal to -1, so we can simplify the above even further:
24-26i+5(-1)
24-26i-5
19-26i
Now, that would be your final answer. But if you want it in radical form you would get this: (just so you know, i is the square root of -1, or an imaginary number)