Answer: {4, 14, 24, 34, 44}
Step-by-step explanation:
A general number can be written as:
aₙ*10ⁿ + ... + a₂*10² + a₁*10¹ + a₀*10⁰ + a₋₁*10⁻¹ ...
Where the a₁ coefficient is the "unit" of a number.
For example, the number 145.2 can be written in this form as:
1*10² + 4*10¹ + 5*10⁰ + 2*10⁻¹
Then the numbers having a 4 in the unit place, will be the numbers that have the digit 4 just at the left of the decimal point.
the set of natural numbers having 4 in the unit place, that also are between 1 and 50 are:
{4, 14, 24, 34, 44}
Answer: 1. x = -2(y - 4)² + 1
2. x = -y² + 5
3. y = -5(x + 1)² + 2
<u>Step-by-step explanation:</u>
Notes: The vertex formula of a parabola is x = a(y - k)² + h or y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h
x = -2(y - 4)² + 1
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2)
Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h
x = -1(y - 0)² + 5 → x = -y² + 5
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3)
Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k
y = -5(x + 1)² + 2
62.80 times .06 aka 6% You get 3.77 after you round. Then add the $3.77(sales tax) to the $62.80 and you get $66.57
Answer:
Mean: 0 + 3 + 6 + 9 + 11 + 13 + 14 = 56/7 = 8
8 - 0 = 8
8 - 3 = 5
8 - 6 = 2
8 - 9 = 1
8 - 11 = 3
8 - 13 = 5
8 - 14 = 6
mean absolute deviation: 8 + 5 + 2 + 1 + 3 + 5 + 6 = 30/7 = 4.2