Answer:
D
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.
f(x) = |x-3|
Answer:
![289\ ft^{2}](https://tex.z-dn.net/?f=289%5C%20ft%5E%7B2%7D)
Step-by-step explanation:
we know that
To find the area of the backyard that is not covered by the hot tub and fire pit subtract the area of the hot tub and the area of the fire pit from the total area of the square backyard
so
![A=20^{2}-(6)(8)-(7)(9)\\A=400-48-63\\ \\A=289\ ft^{2}](https://tex.z-dn.net/?f=A%3D20%5E%7B2%7D-%286%29%288%29-%287%29%289%29%5C%5CA%3D400-48-63%5C%5C%20%5C%5CA%3D289%5C%20ft%5E%7B2%7D)
A= x^2+2x-6
B= x^3-x+5-(28/x+3)
a) Explain why this sequence is an arithmetic sequence.
It is an arithmetic progression since it is a succession of numbers such that the difference of any pair of successive terms in the sequence is constant, in this case, it is 3.
b) Write out the sequence using blanks where appropriate.
Week|Distance
1 5
2 8
3 1 1
4 14
. .
. .
. .
c) Write the explicit formula for the sequence.
an = a1 + d*(n -1)
an = 5 + 3*(n - 1)
an = 5 + 3*n - 3
an = 3*n + 2
d) How far will the patient walk during the 12th week?
a12 = 3*12 + 2
a12 = 38
that is to say, in that week I walk 38 km
Answer:
The original price of the pants was $30.
Step-by-step explanation:
Let x be equal to the original price of the pants.
Because the pants are 40% off, their final price was 60% of the original price. 60% as a decimal is 0.6. Using this information, we can set up the following equation and solve:
0.6x=18
Divide both sides by 0.6
0.6x/0.6=18/0.6
x=30
I hope this helps!