Answer:
1 - C
2 - A
3 - D
4 - B
Step-by-step explanation:
Consider an arbitrary function y=f(x).
1. f(x)>0 means y>0. y>0 determines all points on the graph which have positive y-coordinates. Positive y are corresponding to those x from the domain, for which graph lies above the x-axis. So 1 - C
2. f(x)<0 means y<0. y<0 determines all points on the graph which have negative y-coordinates. Negative y are corresponding to those x from the domain, for which graph lies below the x-axis. So 2 - A
3. To find y-intercept, we have to substitute x=0, so input is zero. Hence, 3 - D
4. To find x-intercept, we have to substitute y=0, so output is 0. Hence, 4 - B
To solve a problem like this, you will need to use substitution or elimination. For the sake of an example I will solve this using substitution.
First, solve one of the equations for x or y:
3x-5y=-39
3x=-39+5y
X=(-39+5y)/3
Then substitute for the value of x in the second equation:
6x+2y=-42
6((-39+5y)/3)+2y=-42
Solve for y:
-78+10y +2y=-42
-78+12y=-42
12y=36
Y=3
Once you've solved for y, you can plug in it's value to find x:
X=-39+5(3)/3
X=-24/3
X=-8
So, we can conclude that the correct answer is B. (-8,3)
Answer:
Step-by-step explanation:
F=(9/5) C +32 has the form of the equation of a straight line: y = mx + b, where m is the slope and b is the y-intercept. By comparing these two equations we see that the slope, m, is (9/5) and the y-intercept is 32 (or (0, 32)).
To graph this, first locate the y-intercept (0, 32); put a dark dot there. Since the slope is 32, or 32/1, move your pencil point 1 unit to the right, from (0, 32) to (1, 32), and then from (1, 32) move y our pencil point 32 units upward. Plot another dark dot there and then draw a straight line through these two points.
We can evaluate the given function F=(9/5) C +32 at C = 15 by replacing C in the formula with 15: F = (9/5)(15) + 32, or F = 59.
Answer:
The answer is D
Step-by-step explanation:
R and A both have the one line thingy and s and b have both the 2 line thingies. so <BAC=<SRT
Answer:
-5,3
Step-by-step explanation:
