Simplify the expression 5(n^2+n)-3n(2n^2+4n-2)
1 answer:
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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:
<em>The correct option will be: (b) 7 feet.</em>
Step-by-step explanation:
Suppose, the length of the garden is feet.
As the <u>shape of the garden is like a square, then the area of the garden</u> will be: feet²
Given that, the <u>area is 52 square feet</u>. So, the equation will be.......
So, the approximate length of the garden will be 7 feet.
Answer:
Approximate volume of ice cream = 3.03 inches
Step-by-step explanation:
Given - An empty ice cream cone has a height of 3.02 inches and a radius
of 0.98 inches.
To find - What is the approximate volume of ice cream it will hold within the cone ?
Proof -
We know that,
Volume of the cone =
where
r is the radius of the cone
h is the height of the cone
Here,
Given that,
r = 0.98 inches
h = 3.02 inches
So,
Volume =
= ( Consider the value of
= 3.14)
= 3.0373
∴ we get
Approximate volume of ice cream = 3.03 inches
So,
The correct option is - G. 3 in 3