In order from least to greatest, it's listed as:
0.015, 0.105, 0.15, 0.501.
0.015 is the lowest number because it is the farthest from being a whole. It starts with .0, whereas the rest of them have a number higher than 0 after the period.
It isn't A because there isn't a decimal in the hundredths.
It isn't B because it doesn't have a decimal coefficient on the left side: that means it could be C or D, to find out we should find what x is in C:
0.5x-5=0.15x+2
0.5x=0.15x+7
0.35x=7
Divide both sides by 7
0.05x=1
Now multiply both sides by 20:
x=20
That means it must be D, let's make sure:
0.6x-3=0.28x+5
0.6=0.28x+8
0.32x=8
Divide both sides by 8:
0.04x=1
Now multiply both sides by 25:
x=25
So the answer is D
Hope this helps :)
Answer: True
Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.
Given: f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0
The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).
For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.
Answer:
8.54
Step-by-step explanation:
distance formula is d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
plug in the coordinates the answer is 8.54
Answer:
MN = 12 units
NP = 16 units
PM = 20 units
Step-by-step explanation:
You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)
MN and NP will be a and b.
Example: 12^2 + 16^2 = c^2
Simplify.
Example:
144 + 256 = c^2
144 + 256 = 400
Then find the square root of 400 which is 20.
To check your work put all of the sides into the formula and it should be true.
