Answer:
Y-intercept is (0, -13)
X-intercept is at (13/5, 0)
Step-by-step explanation:
When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).
So the y-intercept is (0, -13)
To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.
To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.
0 = 5x - 13
13 = 5x
x = 13/5
The x-intercept is at (13/5, 0)
I hope this helped!
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<span>Part 1:

option b.
Part 2:

option d
Part 3:

Multiply through by the LCM of 2 and 3 (i.e. 6)

option b
Part 4
x^2-3x-8=x+4

option d
Part 5
Joseph is solving the equation x^2+8x-4=0 using the technique completing the square.
x^2+8x-4=0
x^2+8x+?=4+?
In completeing the square method, you divide the coeficient of x by 2, square the result and add to both sides of the equation.
Therefore, he should add 16 to both sides because (8/2)^2=16.
option d.
</span>
Answer: C. 30.47
Step-by-step explanation:
The mean of discrete random variable i.e. the expected value of X is given by :-

Now by using the given table, the expected value of X is given by :-

Hence, the mean of discrete random variable= 30.47