Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
Answer:
(-6, -5)
Step-by-step explanation:
Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.
(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis
(6, -5) ⇒ (-6, -5)
The image point is (-6, -5).
Answer:
Red Cell is 300 times larger than the virus
Step-by-step explanation:
Size in scientific Notation
- Red Cell = 9 * 10^-6
- Virus = 9 * 10^-8
Procedure.
- Count the number of zeros in the decimal
- Red Cell = 5 ; virus = 7
- And one more to each
- Red Cell = 6; virus = 7
- change the numbers to minus
- Red Cell = -6 ; virus = - 7
- The last row is the powers as shown above.
Answer
9*10^-6/3 * 10^-8
3*10^(-6 - - 8)
3*10^(- 6 + 8)
3^10^2 or 300 times larger
To find the area of a circle you do pi (3.14) multiplied by the radius squared.
The radius is half of the diameter: 11 / 2 = 5.5in
The radius squared is 5.5^2 = 30.25
Then take the squared radius and multiply that by pi 30.25 * 3.14 = 94.985
So the area of the circle is about 94. 99 in.
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