Answer:
45
Step-by-step explanation:
73+62=135
180-135=45
180 is the whole area of the triangle
Answer:
A
Step-by-step explanation:
My brain is big now trust me ;)
The main factor when x values are high is the nature of the function. For example, polynomial functions intrinsically grow slower than exponential functions when x is high. Also, the greater the degree of the polynomial, the more the function grows in absolute value as x goes to very large values.
In specific, this means that our 2 exponential functions grow faster than all the other functions (which are polynomial) and thus they take up the last seats. Also, 7^x grows slower than 8^x because the base is lower. Hence, the last is 8^x+3, the second to last is 7^x.
Now, we have that a polynomial of 2nd degree curves upwards faster than a linear polynomial when x is large. Hence, we have that the two 2nd degree polynomials will be growing faster than the 2 linear ones and hence we get that they fill in the middle boxes. Because x^2+4>x^2, we have that x^2+4 is the 4th from the top and x^2 is the 3rd from the top.
Finally, we need to check which of the remaining functions is larger. Now, 5x+3 is larger than 5x, so it goes to the 2nd box. Now we are done.
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Even Functions:</u>
The function is unchanged when it is reflected about the y-axis.
i.e.
f(-x) = f(x)
<u>Odd Functions:</u>
The function is unchanged when it is rotated 180° about the origin.
i.e.
f(-x) = -f(x)
<u>Neither Functions:</u>
f(-x) ≠ -f(x)
Let us check the given functions:
plug –x in for x
f(-x) = V(-x)²9
f(-x) = Vx²9
f(-x) = f(x)
Therefore, the function f(x) = Vx²9 is even function.
plug –x in for x
as

and

so
f(-x) ≠ f(x)
f(-x) ≠ -f(x)
Thus,
g(x) = |x-3| is neither an even nor an odd function.
plug –x in for x
g(-x) = (-x) + (-x)²
g(-x) = -x + x²
g(-x) = -(x-x²)
so
f(-x) ≠ f(x)
f(-x) ≠ -f(x)
Thus, it is neither an even nor an odd function.
Thus,
g(x) = x + x² is neither an even nor an odd function.