we know that
If the ordered pair is a solution of the equation, then the ordered pair must satisfied the equation
we will proceed to solve each case to determine the solution of the problem
we have
-------> equation
case a)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case a) is not solution
case b)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case b) is not solution
case c)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case c) is not solution
case d)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case d) is a solution
therefore
the answer is
Answer:
Step-by-step explanation:
If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.
Let y represent the total cost and
x represent the number of gifts
According to direct variation]
y ∝ x
y = kx
k is the constant of proportionality
If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;
y = 10x
Hence the required relationship is y = 10x
Answer:
Second option
Answer:
x= -5
Step-by-step explanation:
just graphed it . y = 4 is a flat horizontal line.
x=5 is a vertical line that passes through (5,2)
The equation of the perpendicular line is x = 5.
To find the equation of a line perpendicular to y = 4 that passes through the point (5, 2), we need to determine the slope of the original line. The equation y = 4 represents a horizontal line with a slope of 0. Perpendicular lines have slopes that are negative reciprocals of each other. The negative reciprocal of 0 is undefined, so the equation of the perpendicular line will be x = 5.
#SPJ2
Answer:
8x * sqrt(5x)
Step-by-step explanation:
Factor 320 into its prime factors: (2^6) * 5
To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside
Take sqrt of factors being extracted: sqrt64= 8
Now it looks like this: 8 * sqrt(5x^3)
SQRT(x^3) is the same as x * SQRT(x)
Therefore, sqrt (320x^3)= 8x*sqrt(5x)