Answer:
The student added the discount instead of subtracting the discount.
They also did not calculate the tax correctly.
Step-by-step explanation:
Original price is 499
Discount = original price * percent off
Discount = 499 * .18
=89.82
The sale price = original price minus the discount
sale price = 499-89.82
sale price = 409.18
Sales tax = sale price * tax rate
= 409.18 * 8.875%
=409.18*.08875
=36.314725
Rounding to the nearest cent
36.31
Final cost = sale price + sales tax
=409.18+36.31
445.49
The student added the discount instead of subtracting the discount.
They also did not calculate the tax correctly.
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function

Have a look at the attached graph.
- The red portion represents the graph of the function
.
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is indeed a function.
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is a one-to-one function, as there is only one x-value for each y-value.
Therefore, we conclude that the function is one-to-one.
Answer:
Below.
Step-by-step explanation:
Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.
The other 2 have negative values and -2 = -(2) so they have the same value, -4.
Answer:
13
Step-by-step explanation:
8-13=-5
Answer:
(A) 2 meter
Step-by-step explanation:
It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.
Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have





≈
Thus, option A is correct.