Answer:
the correct points would be one unit to the right, thusly, (2,4) (4,-1) (-2,1)
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
The right side is a right triangle
The base is 1/2 of the bottom or 5
The height is x and the hypotenuse is 13
We can use the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +x^2=13^2
25+x^2 = 169
Subtract 25 from each side
25-25+x^2 = 169-26
x^2 =144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x= 12
The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = (x - 4)(x - 2)
The above function is a quadratic function.
The above function can be written as:
f(x) = x² - 6x + 8
From the graph,
The minimum value of graph at x = 3 is y = -1
The range of the function is [-1, ∞)
Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.
Learn more about the function here:
brainly.com/question/5245372
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One application of volume is determining the density of an object. Assume the object is made of a pure element (eg: gold). If we know the volume (v) of the object, and we know the mass (m), then we can use the formula D = m/v to figure out the density D. Knowing the volume is also handy to determine if the object can fit into a larger space or not. Another application is figuring out how much water is needed to fill up the inner space of the 3D solid (assuming it's hollow on the inside).
The surface area is handy to figure out how much material is needed to cover the outer surface. This material can be paint, paper, metal sheets, or whatever you can think of really. A good example is wrapping a present and the assumption is that there is no overlap.
Answer:
A(x) = 6.2 - 0.005x
Step-by-step explanation:
If you think about it, either 0.5/0.005 needs to be equal to 0.5%
0.5 is the same as 1/2 and therefore it is the same as 50%
So it must be 0.005!
Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method