Answer:
look it up Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
reflections across the x axis and a shift down 3 units
Step-by-step explanation:
y = x^2
The negative sign means it is a reflection across the x axis y = −f(x)
y = -x^2
The subtraction of 3 means we are shifting down 3 units
y = -x^2 -3
Answer:
≈ 6.16
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(5, - 5) and (x₂, y₂ ) = D(7, 3)
d = √ (7 - 5)² + (3 + 5)²
= √ 2² + 8² = √ 4 + 64 = √68 ≈ 6.16 ( to 2 dec. places )
Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31
2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .
Step-by-step explanation:
1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.
Let x be the number of years starting with 2003 to 2010.
i.e. n=8
and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.
With reference to table we get

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

and

∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)
So, Y= 14640.85 + 937.97×18 = 31524.31
∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31
Answer:
Step-by-step explanation:
(9^2)^(1/3) = 9^(2 * 1/3) = 9^(2/3)