For the function whose graph is shown, the correct formula for the function would be option A; y = -2x+3.
<h3>What is the slope?</h3>
The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Here, y-intercept is at positive 3,
so the value of b is +3
The line is going downward from left to right, so the slope will be negative.
The slope is defined as rise over run,
= 2/1, = 2,
So the "m" value is -2.
This will gives the functions equation to be
y = mx + b
y = -2x + 3.
Hence, For the function whose graph is shown, the correct formula for the function would be option A; y = -2x+3.
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Answer:
Here we have the domain:
D = 0 < x < 1
And we want to find the range in that domain for:
1) y = f(x) = x
First, if the function is only increasing in the domain (like in this case) the minimum value in the range will match with the minimum in the domain (and the same for the maximums)
f(0) = 0 is the minimum in the range.
f(1) = 1 is the maximum in the range.
The range is:
0 < y < 1.
2) y = f(x) = 1/x.
In this case the function is strictly decreasing in the domain, then the minimum in the domain coincides with the maximum in the range, and the maximum in the domain coincides with the minimum in the range.
f(0) = 1/0 ---> ∞
f(1) = 1/1
Then the range is:
1 < x.
Notice that we do not have an upper bound.
3) y = f(x) = x^2
This function is strictly increasing, then:
f(0) = 0^2 = 0
f(1) = 1^2 = 1
the range is:
0 < y < 1
4) y = f(x) = x^3
This function is strictly increasing in the interval, then:
f(0) = 0^3 = 0
f(1) = 1^3 = 1
the range is:
0 < y < 1.
5) y = f(x) = √x
This function is well defined in the positive reals, and is strictly increasing in our domain, then:
f(0) = √0 = 0
f(1) = √1 =1
The range is:
0 < y < 1
Here, Cotton fabric = 2 yards
yards of fleece fabric = 2 1/2 yards
Total fabric = 2 + 2 1/2 = 4 1/2
In short, Your Answer would be: Option C
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
16/100 = x / 400
Cross multiply:-
100x = 16*400
x = 6400 / 100
= 64
