Because if they were ordered pairs they would have to to not all of them could have an x value of 0 and still lie on the x axis
f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value o
vlada-n [284]
The discriminant of the function is 120, and the function has 2 different x-intercepts
<h3>How to determine the discriminant?</h3>
The function is given as:
f(x) = -7x^2 + 8x + 2
The discriminant (d) is calculated using:
D =b^2 - 4ac
So, we have:
D = 8^2 - 4 * (-7) * 2
Evaluate
D = 120
Because the value of D is greater than 0, then the function has 2 different x-intercepts
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Answer:
The product of two rational numbers is a rational number
Step-by-step explanation:
I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that

If we multiply the fractions, we have

Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.
Answer:
b = 2 or b = 7
Step-by-step explanation:
b/(b-7) - 2/b = 7/ (b-7)
b * b - 2(b - 7) = 7 * b
b^2 - 2b + 14 = 7b
b^2 - 9b + 14 = 0
(b - 2)(b - 7) = 0
b - 2 = 0; b = 2
b - 7 = 0; b = 7
Answer
b = 2 or b = 7
Answer:
C. The discriminant is negative, so there are no solutions.
Step-by-step explanation:
We see that the given figure is a graph of a parabola.
The equation of the given parabola is
.
Simplifying the equation in quadratic form, we get,
The equation is
i.e.
i.e.
.
We know that the discriminant of a quadratic equation
is given by 
So, from the equation
, we have,
a = 1, b = -6 and c = 10
Thus, the discriminant is 
i.e. 
i.e. 
So, the discriminant is -4 i.e. negative.
Hence, as the discriminant is negative, there are no solutions.