Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope (m)</u>
where two points that fall on the line are 
and 
Plug in the given points (2,-5) and (8,-2)
Therefore, the slope of the line is 
. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in one of the given points and solve for b
Subtract 1 from both sides to isolate b
Therefore, the y-intercept of the line is -6. Plug this back into :
I hope this helps!
Answer:
Santana scored 12 2-point baskets.
Step-by-step explanation:
Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:
If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.
This is verified through the following calculation:
(10 x 3) + (12 x 2) = X
30 + 24 = X
54 = X
Answer:
acute
Step-by-step explanation:
less than 90* degrees
Answer:
( 5, 3/2 )
x = 5
y = 3/2
Step-by-step explanation:
5x - 4y = 19
x + 2y = 8
-------------------
2(x + 2y = 8) = 2x + 4y = 16
----------------------
5x - 4y = 19
2x + 4y = 16
7x = 35
÷7 ÷7
x = 5
-----------------------
x + 2y = 8
5 + 2y = 8
-5 -5
2y = 3
÷2 ÷2
y = ( 3/2 )
I hope this helps!
Answer:
0.5 or 50%
Step-by-step explanation:
The number of total employees is:
The number of married employees is:
The probability that a randomly selected employee is not married is given by:
The probability is 0.5 or 50%.
