Answer:
Yes
Step-by-step explanation:
The focus of a parabola is always inside the parabola; the vertex is always on the parabola; the directrix is always outside the parabola.
You can use the following equation:
10h+3p+0.5r=100
This equation uses “h” “p” and “r” to represent the number of animals bought, each variable having a coefficient which is that animal's price. The right side is the total price.
You will now need a second equation so you can proceed to substitution/elimination:
h+p+r=100
This equation, using the same variables, represents the total number of animals to be bought.
We can eliminate the “h” variable by multiplying the bottom equation by -10, you now have the following:
10h+3p+0.5r=100
-10h-10p-10r=-1000
Add down and the result is:
-7p-9.5r=-900
You can set up a proportion
-9.5r=-900+7p
r=(-900+7p)/-9.5
And substitute in the original equation…
P.S. I challenge you to figure out the rest on your own because it is really just a tedious process of substitution and elimination from here and my phone is about to die. I'll check in later if you're still having problems.
Answer:
0.008 meters
Step-by-step explanation:
The greatest common factor of 18 and 54 is 18
One way to determine the greatest common factor is to find all the
factors of the numbers and compare them.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.
The common factors are 1, 2, 3, 6, 9, and 18. Therefore, the
greatest common factor is 18.
The greatest common factor can also be a calculated by identifying
the common prime factors and multiplying them together.
The prime factors of 18 are 2, 3, and 3.
The prime factors of 54 are 2, 3, 3, and 3.
The prime factors in common are 2, 3, and 3, so the greatest common
factor is 2 x 3 x 3 = 18.
hope this help
Answer:
Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.
Step-by-step explanation:
We are looking at two lines.
4(x + 3) + 2x = 6(x +2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x + 12
These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
4x + 11 = 4x + 3
Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.
5(x + 3) + x = 4(x +3) + 3
5x + 15 + x = 4x + 12 + 3
6x + 15 = 4x + 15
These are two different lines with exactly one solution.
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 16
6x + 16 = 6x + 16
These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).