Answer:
(a) 1/4
(b) answer in explanation
Step-by-step explanation:
In this question, we are told that we have a spinner and the spinner has 12 equal sized sections with three of the sections purple in color. We are now asked to calculate the probability of the spinner landing on the color purple.
Checking, we can see that this is a probability question. The spinner has the options of stopping at 12 different positions but amongst these 12 positions, 3 of the positions are painted purple. We now need to know the probability of the spinner landing on purple.
To get the probability of this, what we simply do is to divide the number of purple options by the total number of outcomes we have. The number of purple options is 3 while the total outcome we have is 12. The probability is thus P(of purple is) = 3/12 = 1/4
(b) we are asked to use words to describe the probability
From the probability in the question, what we can see is that if the spinner is spinner 4 different times, there is a chance that 1 out of all the chances will produce a result where we have the spinner landing on one of the purple color section.
What this actually means is that there is a 25% chance within every spin for the spin to land in the purple color section of the spinner
IMPORTANT:
If you're trying to factor a quadratic in Algebra I:There are no two integers that can solve this problem!
Your quadratic is <em>prime</em>!
If you're trying to solve a quadratic (find x):The factoring approach will not work for the same reasons listed above.
Try using splitting the middle or the quadratic formula instead.
Here's how you would solve it from a more advanced approach.
If you don't know what this stuff is, just ignore it.
ab = -18, a + b = -9
Find a in terms of b.
a = -9-b
Substitute this for a in the first equation.
(-9-b)b = -18
-9b-b² = -18
Multiply everything by -1 to get rid of all these negative signs.
b² + 9b = 18
Bring over that 18.
b² + 9b - 18 = 0
Apply the quadratic formula.
(a = 1, b = 9, c = -18)

If you need to write two distinct numbers, just write out one with a + and one with a - in place of the plus-minus sign.
1.96
you just gotta do 5.20-3.24, have a good day. Hope this helps!
Answer:
The Answer is: y = -2/3x + 10/3
Step-by-step explanation:
Given points (-1, 4) and (8, -2) first find the slope:
m = (y - y1)/(x - x1)
m = (4 - (-2)) / (-1 - 8)
m = 4 + 2 / -9
m = -6/9 = -2/3
Use the point slope form and point (8, -2) and slove for y:
y - y1 = m(x - x1)
y - (-2) = -2/3(x - 8)
y + 2 = -2/3x + 16/3
y = -2/3x + 16/3 - 2
y = -2/3x + 16/3 - 6/3
y = -2/3x + 10/3
Proof using the point (-1, 4):
f(-1) = -2/3(-1) + 10/3
= 2/3 + 10/3
= 12/3 = 4, giving point (-1, 4)
Hope this helps! Have an Awesome Day!! :-)
Answer:
Step-by-step explanation:
Given


The given system is
can be represented by

The given system is consistent when determinant of A is not equal to zero



i.e. system is consistent for all value of k except 
