Answer:
a = 3, b = -1, c = 10
Step-by-step explanation:
Let the three numbers be a, b and c.
Equation 1: a + b + c = 12
Equation 2: a + 2b + 3c = 31
Equation 3: 9b + c = 1
Equation 2 - Equation 1:
Equation 4: b + 2c = 19
Equation 3 times by the number 2
Equation 5: 18b + 2c = 2
Equation 5 - Equation 4
17b = -17
b = -1
Substitute into Equation 4:
2c - 1 = 19
2c = 20
c = 10
Substitute into Equation 1:
a + b + c = 12
a - 1 + 10 = 12
a = 3
Divide the numbers for the unit rate and the rate is how much you side it by
Answer:
No; they do not have congruent corresponding angles.
Step-by-step explanation:
Angle U is ...
180° -28° -70° = 82°
The "corresponding" angle in ΔVWX is ∠X = 92°. These are not congruent, so the triangles cannot be similar.
Well to find this line you want to know the slope and the y-intercept. So find the slope:
(y2-y1)/(x2-x1)
12-2 = 10
2-7 = -5
10/-5 = 2/-1
-2 is your slope
Now for y-intercept, find the point closest to the y-axis. That is the point (2,12), and if your slope is negative 2, that means that if you go up 4 and left 2, you should find the y-intercept:
12 + 4 = 16
16 is your y-intercept
So now lets write this out in an equation:
y = mx + b
m = slope
b = y-intercept
y = -2x + 16
there you go! hope this helps!
GIVEN:
<span>Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Salesman A: 1300 </span>≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900
Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.
Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.
Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.
You can do your own graph using my equations.