Answer:
two real, unequal roots
Step-by-step explanation:
This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:
Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is
(-2)^2 - 4(1)(-8), or 4 + 32 = 36.
Because the discriminant is real and positive, we know for certain that we have two real, unequal roots
Answer:
about 2283
Step-by-step explanation:
Plug 24 in for the value of t. e is its own value like pi but 2.1.........
First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
9514 1404 393
Answer:
12/x^5
Step-by-step explanation:
The fractions are multiplied in the usual way. The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
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The equation of the line is 
Explanation:
Given that the line passes through the points (-5,-3)
The slope of the line is 
We need to determine the equation of the line.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Let us substitute the points (-5,-3) and the slope in the above formula.
Thus, we have;
Simplifying, we get;
Subtracting 3 from both sides of the equation, we get;
Hence, the equation of the line in slope - intercept form is
