Answer:
f(x) is positive for all x > 10
Step-by-step explanation:
Given function:
<u>Asymptote</u>
Asymptote: a line which the curve gets infinitely close to, but never touches.
Factor the denominator of the function to find the vertical asymptotes:
Therefore:
The function is undefined when the denominator is equal to zero.
Therefore, there are vertical asymptotes at x = -3 and x = 10
and a horizontal asymptote at y = 0
f(x) is positive for (10, ∞)
f(x) is negative for (-3, 10)
f(x) is positive for (-∞, -3)
This is the concept of scale factors; The length of the larger figure will be calculated as follows;
linear scale factor=[length of larger figure]/[length of smaller figure]
plugging the values in the above formula we get:
let the length of the larger figure be x;
thus;
x/12=4/3
multiplying both sides by 12 to solve for x we get:
12*x/12=4/3x12
x=16
thus the length of the larger figure is x=16
Yes, 60 can go into 90.
You can determine this by dividing 90 by 60.
90 / 60 = 1.5
Sixty can go into ninety 1.5 times.
I hope his helps!
Answer:
0.0000643
Step-by-step explanation:
The exponent is -5, making it 10 to the power of negative 5. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 5 times: 6.43 -> 0.0000643