Answer:
5^4 = 625
Step-by-step explanation:
5^4 is just 25 times 25
Given:
Replace f(x) by f(x - h).
To find:
The effect on the graph of replacing f(x) by f(x - h).
Solution:
Horizontal shift is defined as:
If the graph f(x) shifts h units left, then f(x+h).
If the graph f(x) shifts h units right, then f(x-h).
Where, h is a constant that represents the horizontal shift.
In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.
Here, we have x-h in place of x.
Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).
Answer: Estimate: 36 ? units ? miles per hour ? feet per second?
Exact: 35.32142857 but if you are supposed to use significant digits, 35.32 is probably good.
Step-by-step explanation: For the estimate, round off the fractions to whole numbers, so multiply 6 x 6 to get 36
For exact I converted the mixed numbers to improper fractions, 5 3/4 = 23/4 and 6 1/7 = 43/7. Then multiplied the numerators 23 x 43= 989. And denominators, 4x7=28.
Divide numerator by denominator 989/28= 35.321428571
Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
