Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If , it has 2 real solutions.
- If , it has 1 real solutions.
- If , it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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Answer:
Explicit
Step-by-step explanation:
Given
Required
Explicit or Recursive; which is easier
The explicit form is easier.
Take for instance, the explicit form of the sequence is:
And the recursive form is:
To find in
You simply substitute 50 for n and then solve for
Which gives:
The case is different in:
First, you substitute 50 for n
Next, you need to calculate a49.
This action continues until you get to a1
Then you evaluate the corresponding expressions from a1 to a49 before you get a50.
<em>Hence, the explicit form is easier.</em>
Answer:
50 stars
Step-by-step explanation:
1 × 50 is 50 so you get 50 stars
Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
Answer:
9/4x^2 - 6x +4
Step-by-step explanation:
( 3/2x-2)^2
(3/2x-2)(3/2x-2)
9/4x^2 - 3x - 3x +4
9/4x^2 - 6x +4
3/2 x 2 = 6/2 = 3