Answer:
The diameter of the specimen in centimeters is 103 cm.
Step-by-step explanation:
In order to determine the diameter in centimeters of the largest specimen of jellyfish, knowing that said diameter is 1.03 meters, and that 1 meter is equal to 100 centimeters, the following calculation must be performed:
1.03 x 100 = X
103 = X
Therefore, the diameter of the specimen in centimeters is 103 cm.
The effective annual interest rate would be the difference
of nominal interest and inflation rate.
ieff = 2% - 3.24%
ieff = - 1.24% = -0.0124
Therefore the money left after 1 year would be:
F = 44,000 * (1 – 0.0124)
F = 43,454.4
So the amount of money lost is:
lost = 44,000 - 43,454.4
<span>lost = $545.6</span>
The function g(x) = x² + 5x + 2
Step-by-step explanation:
Let us revise the horizontal translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
∵ f(x) = x² - 3x - 2
∵ f(x) is shifted 4 units left
- That means add 4 to each x in the function f(x)
∴ g(x) = (x + 4)² - 3(x + 4) - 2
Simplify it by solving the bracket of power two and open the other
bracket by multiply it by 3 and adding the like terms
∵ (x + 4)² = (x)(x) +2(x)(4) + (4)(4)
∴ (x + 4)² = x² + 8x + 16
∵ 3(x + 4) = 3x + 12
∴ g(x) = [x² + 8x + 16] - [3x + 12] - 2
∴ g(x) = x² + 8x + 16 - 3x - 12 - 2
- Add like terms
∴ g(x) = x² + (8x - 3x) + (16 - 12 - 2)
∴ g(x) = x² + 5x + 2
g(x) = x² + 5x + 2
Learn more:
You can learn more about quadratic function in brainly.com/question/9390381
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Answer:
Step-by-step explanation:
isolate y in the second equation:
substitute the 2nd equation in the first equation:
simplify:
add like terms together:
After you find x, find y:
Verify:
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Domain:
{-1, 3, 6}
Range:
{4, 5, 6}