"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equations:
As we know that the slope intercept form of a line is
y = m x + c
So, from equation 1 and equation 2 we can see that
So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.
Answer: - 42.95 feet
Explanation:
Let each ascent be x. Thus,
2 equal ascents = 2x
From the information given,
initial position = - 64.5 feet
Final position after 2 ascents = - 21.4 feet
This means that
- 64.5 + 2x = - 21.4
2x = - 21.4 + 64.5
2x = 43.1
x = 43.1/2
x = 21.55
Thus, Max's elevation after the first ascent is
- 64.5 + 21.55
= - 42.95 feet
Answer:
1200 students at the school
Step-by-step explanation:
Let x be the total number of students at the school
50% ride the bus
600 students ride the bus
x*50% = 600
Changing to decimal form
.50x = 600
Divide each side by .5
.50x/.5 = 600/.5
x =1200
1200 students at the school
Answer: 7/24
Step-by-step explanation:
Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true
The probability that the six-sided die is three or Abdul rolls doubles is 7/24. The calculation is attached.
Answer:A)0.27
B)0.78
Step-by-step explanation:
This is the probability of picking 2balls of same color.
P(RR)+Pr(WW)+Pr(BB)
3/10×2/9+4/10× 3/10+3/10 ×2/9=6/90+12/90+6/90=
24/90=4/15=0.27
B)if the first ball is not returned, then there are 9 balls left.
Then probability of same color will be
PrB+PrW+PrR
2/9+3/9+2/9=
7/9=0.78
