Answer:
- C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
<u>System of equations: </u>
The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
<u>Line1 </u>
- 5x - 6y = 4
- 6y = 5x - 4
- y = 5/6x - 4/6
<u>Line </u>2
- 3y + 2x = 7
- 3y = -2x + 7
- y = -2/3x + 7/3
As we see lines have different slopes so they are different and they intersect once
This system has one solution
You would substitute or plug in -5 wherever there is an x in the equation.
f(-5) = 6(-5) + 7
f(-5)= -30 + 7
f(-5) = -23
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
2x+3y=6
3y=-2x+6
y=-2/3 x+6/3
y=-2/3 x+2
Answer: the line in slope-intercept form would be:
y=-2/3 x+2
Answer:
B. 0.03110
Step-by-step explanation:
Given
Probability of Hit = 60%
Required
Determine the probability that he misses at 6th throw
Represent Probability of Hit with P
Convert to decimal
Next; Determine the Probability of Miss (q)
Opposite probabilities add up to 1;
So,
Substitute 0.6 for p
Next,is to determine the required probability;
Since, he's expected to miss the 6th throw, the probability is:
Hence;
<em>Option B answers the question</em>
