Answer:
A) reflection over the x-axis and a vertical translation down by 5 units
Step-by-step explanation:
- Making the output negative reflects the graph over the x-axis
- subtracting or adding a constant from/to the function translates it down/up (along the y-axis) by that many units
The answer is <span>Sum of Cubes.
Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.
Let's check it out.
Sum of cubes can be expresses as:
a</span>³ + b³ = (a + b)(a² - ab + b²)
Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2
Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133
Therefore, sum of cubes is the right answer.
Answer:
14
Step-by-step explanation:
PEMDA ( ( ), ^, x, ÷, +, -)
write equation
(2x4) + (12x2) ÷ 4 =?
solve
(2x4) = 8
rewrite
8 + (12x2) ÷ 4
solve
(12x2) =24
rewrite
8 + 24 ÷ 4
solve
24 ÷ 4 = 6
rewrite
8 + 6
Solve
8+6=14
Answer = 14
Hope this helped!
~Lunar Rose. Moon
Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:
5 6
---- = ---------
14 6 + x
Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.
Answer:
x≤3 or x>10
Step-by-step explanation:
x≤3 because the dot is a solid dot at 3 and pointing backward toward numbers less than 3.
x>10 because the dot is an open circle pointing toward numbers greater than 10.
