Answer:
y = 9.54
and, x = 0.08
Step-by-step explanation:
Given that
x - 2y = -19 .......................(1)
3x + 5y = 48 ...............(2)
Based on the above information
Multiply by 3 in equation 1
So,
3x - 6y = -57
3x + 5y = 48
- - -
-11y = -105
y = 9.54
So, the x would be
x - 2(9.54) = -19
x - 19.08 = -19
x = -19 + 19.08
x = 0.08
Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R
(DOS= difference of two squares, PST=perfect square trinomial
Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.
Answer:
Points apply to the given situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Step-by-step explanation:
We have given,
A puppy is running at a rate = 4 feet per second
A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.
So, time taken by puppy to reach the wall =
i.e. time take by puppy to reach the wall = = 5 seconds
Now we write the points that apply to this situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Answer:
His total gross pay for the week is $588.25.
Step-by-step explanation:
Consider the provided information.
Jarry has a salary of $43 per day and he worked for 4 days.
Thus, the salary of 4 days is:
4 × $43= $172
The average tips is 18% of his total gross food orders.
Last week he had total food orders of $2,312.5. Therefore, the total tips he received is:
Total tips he received is $416.25.
His total gross pay for the week = The salary of 4 days + Total tips he received.
His total gross pay for the week = $172 + $416.25
His total gross pay for the week = $588.25
Hence, his total gross pay for the week is $588.25.
