Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
Answer:
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Step-by-step explanation:
Answer:
6.4 x 10¹¹ litres
Step-by-step explanation:
Given:
Surface area = 16.0 mi²
Average depth = 51.0 ft
To calculate the volume of the lake in liters,
(i) <em>Convert the average depth to miles.</em>
1 ft = 0.000189 mi
51.0 ft = 51.0 x 0.000189 mi = 0.009639 mi
(ii) <em>Now find the volume in mi³</em>
volume = surface area x average depth.
volume = 16.0 mi² x 0.009639 mi
volume = 0.154224 mi³
(iii) <em>Finally, convert the volume from mi³ to litres</em>
1 mi³ = 4.168 x 10¹² litres
0.154224 mi³ = 0.154224 mi³ x 4.168 x 10¹² litres / 1 mi³
0.154224 mi³ = 6.4 x 10¹¹ litres
Therefore, the volume in litres is 6.4 x 10¹¹
Answer:
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<h3>Explanation that is wrong: </h3>
x y
0 6
4 18
8 30
Answer:
B
Step-by-step explanation:
24*3=72
36*2=72