Let's assume that you are to graph the inequality.
1. Graph -3x + 4y = 12. Note that the x-intercept is (-4,0) and the y-intercept is (0,3). Use a dashed line, not a solid line, due to the ">" sign.
2. Choose a test point (e. g., (0,1) ) and subst. these coordinates into -3x + 4y = 12. Is the equation then true or false? If true, shade the area (on one side of -3x + 4y = 12 or the other) in which the test point (0,1) lies. If false, shade the other side of -3x + 4y = 12.
Answer:
22 miles per hour
Step-by-step explanation:
Against the current, the boat's rate of travel is ...
(120 mi)/(6 h) = 20 mi/h
With the current, the boat's rate of travel is ...
(120 mi)/(5 h) = 24 mi/h
___
The sum of boat speed (b) and current speed (c) is 24 mph. The difference is 20 mph. This lets us write the equations ...
b + c = 24
b - c = 20
Adding these two equations together, we get ...
2b + 0c = 44
b = 22 . . . . . . . . divide by 2
The rate of the boat in still water is 22 miles per hour.
Answer:
0
Step-by-step explanation:
It is been considered that Discriminant is calculated by the following formula:
D = b*b - 4 * a * c
In order to simplify the calculations we can divide all the numbers by 2 and we will have the same quadratic equation:
-x^2 -4x+4=0
and as usual quadratic equation is presented as the following:
ax^2 - bx + c = 0
so in our case a = -1; b = -4; c = 4;
Then D = -4*4 -4*(-1) * 4 = -16+16 = 0
I am not quite understanding the following phrase:
"and what does it value mean about the number about the number"
but if the question was in regards of the following number '-2x^2' so number ^2 is actually the value of power so 'x' is multiplied on it is own and this equation basically means the following:
-2x^2 = -2 * (x) * (x)
Answer:
Step-by-step explanation:
We can tell right away, that the line has a positive slope, since it goes upwards and to the right. To find the slope exactly, we will use rise/run. We will count the units from the first given point until we reach the next point.
So we can tell that the slope is 3/1 or just 3.
Also, since the line crosses the y-axis at -4, this will be the y-intercept.
Next, since the line is dotted, we know that the inequality sign will either be the "greater than" sign, or the "lesser than" sign. In this case, since the shaded area is below the line, we will use the "lesser than" sign.
So all together, we have y < 3x - 4.
Hope this helps you :)
Answer:
A:10B: 
Step-by-step explanation:
[] Let A be Amy, B be Bill, and C is Cara.
-> Amy's score was ten times Bill's score
A * 10 = B or 10A = B
-> Cara's score was half of Amy's score
C = A * 
or C =
[] The ratio is A to B to C because it asks for Amy to Bill to Cara. We can use our numbers from above to solve. This problem seems to revolve around Amy, so she can be set to A.
-> A = A
-> B = 10A
-> C =
A:10B:
Have a nice day! <em>- hopefully this is correct, different math classes look for different things.</em>
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
