Answer:
y = √(4x - 8) - 3
Step-by-step explanation:
y = 1/4(x + 3)² + 2
To find the inverse, switch the places of the x and y.
x = 1/4(y + 3)² + 2
Solve for y.
x - 2 = (1/4(y + 3)² + 2) - 2
x - 2 = 1/4(y + 3)²
4(x - 2) = 4(1/4(y + 3)²)
4x - 8 = (y + 3)²
√(4x - 8) = √((y + 3)²)
√(4x - 8) = y + 3
√(4x - 8) - 3 = (y + 3) - 3
√(4x - 8) - 3 = y
y = √(4x - 8) - 3
Answer:
-The increase in dollars is $1598
-The amount in her account at the end of last year was $8398.
Step-by-step explanation:
To find the increase, you have to multiply the initial amount for the percentage increase:
6800*23.5%=1598
Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:
6800+1598=8398
According to this, the amount in her account at the end of last year was $8398.
Answer: A. A tessellation that uses only one type of regular polygon
Step-by-step explanation:
When we cover a surface with a pattern of a flat geometric shapes such that there should have no overlaps or gaps, then the surface is called a tessellation.
A regular tessellation is tessellation made up by using nly one type of regular polygon. These are made up of entirely congruent regular polygons all that joining vertex to vertex
Hence, A is the correct option.
Answer:
$1350
Step-by-step explanation:
Percentage commision earned = 10%
Amount needed to pay for concert = $135
Hence, total sales for the week must be :
Let total sales = x
10% of total sales = $135
10/ 100 * x = $135
0.1x = $135
x = $135 / 0.1
x = $1350
Hello!
We will plug in each ordered pair into the equation and see if it works.
A)
0=-9(0)
0=0
True
B)
18=-9(-2)
18=18
True
C)
-9=-9(-1)
-9≠9
False
D)
-27=-9(-3)
-27≠27
False
E)
-18=-9(2)
-18=-18
True
F)
36=-9(4)
36≠-36
False
You answers are A, B, and E.
I hope this helps!