The discriminant of this equation is 49. The solutions for this equation are x=2 and x=-
I hope that helps.
Answer:
60
Step-by-step explanation:
write 120 like this: 120/2
Then just multiply the numerators.
Which gets you 120/2.
Then change it it to a mixed fraction which is 60.
Answer:
33%
Step-by-step explanation:
Assuming the weight of the mixture to be 100g**, then the weight of ryegrass in the mixture would be 30g.
Also, assume the weight mixture X used in the mixture is Xg, then the weight of mixture Y used in the mixture would be (100-X)g.
So we can now equate the parts of the ryegrass in the mixture as:
0.4X + 0.25(100-X) = 30
<=> 0.4X + 25 - 0.25X = 30
<=> 0.15X = 5
<=> X = 5/0.15 = 500/15 = 100/3
So the weight of mixture X as a percentage of the weight of the mixture
= (weight of X/weight of mixture) * 100%
= (100/3)/100 * 100%
= 33%
Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
The height of the wall from the question is 13.27ft
<h3 /><h3>Pythagoras theorem </h3>
The theorem states that the square of the longest side is equal to the sum of square of other two sides.
From the given question
Hypotenuse (ladder length) = 15ft
Adjacent = 7feet
Required
Height of the wall H
According to the theorem
15² = 7² + H²
H² = 225 - 49
H² = 176
H = 13.27feet
Hence the height of the wall from the question is 13.27ft
Learn more on pythagoras theorem here; brainly.com/question/343682
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