Answer:
Step-by-step explanation:
The equation represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have .
Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c
Given
y - 3 = - 4(x + 2) ← distribute
y - 3 = - 4x - 8 ( add 3 to both sides )
y = - 4x - 5 ← in slope- intercept form
(b)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
From the slope- intercept form
y = - 4x - 5 ( add 4x to both sides )
4x + y = - 5 ← in standard form
Answer:the original number is 7
Step-by-step explanation:
Let the number be represented as X
so that when multiplied by 4 gives 4x
which on addition to 12 gives
4x +12=40
4x=40-12
4x =28
x=28/4=7
Well, we know that the x-intercepts are (0,2) and (0,4). That means that the midpoint is just (0,3)
You can also use the midpoint formula:
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Answer: The size of sample is 50
Step-by-step explanation:
Since we have given that
Variance of a sample was reported = 144
Variance of population was reported = 7200
Let the sample size be 'n'.
As we know the formula for "Variance of a sample":
Hence, the size of sample is 50.