Answer:
x=-3
Step-by-step explanation:
so you tryna get x by itself, so you are gonna do the opposite. so move nine over by subtracting it.
-9=3x
now you have to divide -9 by 3 to move it over
-2=x
Answer:
x=7
Step-by-step explanation:
ln(x)+ln(x-3)=ln(4x)
x≥0,x≥3
combining x≥3
ln[x(x-3)]=ln(4x)
x(x-3)=4x
x²-3x-4x=0
x²-7x=0
x(x-7)=0
x=0(rejected),7
Answer:
The value 10 years is the population mean
Step-by-step explanation:
A sample consists of some observations drawn from the population, so a part or a subset of the population which in this case is the number of horses with colic.
A sample mean is the mean of the statistical samples while a population mean is the mean of the total population.
Thus, in this case, the sample mean is the mean age of the horses with colic while the population mean age is the mean age of all the horses found at the clinic.
Therefore, the mean age of 10 of the horses seen at the clinic would be the population mean.
<h3>
Answer: 14x - 8</h3>
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Explanation:
I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.
The equation is of the form ax^2+bx+c = 0
This leads to...
Now use those roots to form these steps
Refer to the zero product property for more info.
Therefore, the original expression factors fully to (4x-5)(3x+1)
Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.
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We did that factoring so we could find the side lengths of the rectangle.
I'm using the fact that area = length*width
- L = length = 4x-5
- W = width = 3x+1
The order of length and width doesn't matter.
From here, we can then compute the perimeter of the rectangle
P = 2(L+W)
P = 2(4x-5+3x+1)
P = 2(7x-4)
P = 14x - 8
This equation is in slope-intercept form; y = mx+b.
m is the slope and b is the y-intercept, so to find the slope you'd look at the coefficient of x.
In this equation, y = 3x+5, the coefficient of x is 3, so that means that the slope of this equation is 3.
Answer is:
3 is the slope
