Answer:
300x^12/15x^10=300/15*x^12/x^10=20*x^2=20x^2
a^4/a^4=1
g^6/g^10=g^-4=1/g^4
so the answer is (20x^2)/g^4
Step-by-step explanation:
Answer:
The function y = -x whose reflection in the line y =x is itself.
Step-by-step explanation:
A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.
The reflection of the point (x,y) in the line y = x is the point (y, x).
Therefore, the function y = -x whose reflection in the line y =x is itself.
Symmetries of the function f(x)= -x is:
A function symmetric with respect to the y-axis is called an even function.
If f(-x) = f(x)
A function that is symmetric with respect to the origin is called an odd function.
if f(-x) = -f(x)
then, we must look at f(-x);
f(x) = -x
f(-x)= -(-x)= x = -f(x)
this function is symmetrical to with respect to origin.
Therefore, this function is an odd function.
Answer: one puppy weighs 5 pounds
Step-by-step explanation:
Let the weight of one puppy be x and the weight of adult dog be y.
Then from the first statement
3x + 3y = 60
Also from the second statement
4x + 2y = 50
combining the two equations together , we have
3x + 3y = 60 ............................... equation 1
4x + 2y = 50 ................................. equation 2
solving the system of linear equation by elimination method , multiply equation 1 by 4 and equation 2 by 3 , we have
12x + 12y = 240 ................................ equation 3
12x + 6y = 150 ....................................... equation 4
subtract equation 4 from equation 3
6y = 90
y = 15
substitute y = 15 into equation 1 to get the value of x.
3x + 3 ( 15 ) = 60
3x + 45 = 60
3x = 60 - 45
3x = 15
x = 5
1 puppy weighs 5 pounds and 1 adult dog weighs 15 pounds
Answer:
(-3, -6)
Step-by-step explanation:
subtract
1-4=--3
-5-1=-6
