G(x) = 3x2 – 2x +5 Find f(2)
1 answer:
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Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone: r²
Volume of hemisphere: r³
Surface area of cone without base: rl
Surface area of hemisphere without base: 2r²
We can just apply the formulas for the question:
Volume of toy = ( × 6² ×
) + (
×
6³)
= 96 + 144
= 240
= 754cm³ (3 s.f.)
Surface area of toy = ( × 6 × 10) + (2 ×
× 6²)
= 60 + 72
= 132
= 415cm² (3 s.f.)
The solution is x = 4 and y = -1
Step-by-step explanation:
The system of equation is:
- y =
x - 3
- y = x - 5
To solve it using the elimination method do that
∵ y = x - 3 ⇒ (1)
∵ y = x - 5 ⇒ (2)
- Subtract equation (1) from equation (2) to eliminate y
∵ y - y = (x - x) - 5 - (-3)
- Remember (-)(-) = (+)
∴ 0 = x - 5 + 3
∴ 0 = x - 2
- Add 2 to both sides
∴ 2 = x
- Multiply both sides by 2
∴ 4 = x
∴ x = 4
- Substitute the value of x in equation (1) or (2) to find y
∵ y = 4 - 5
∴ y = -1
The solution is x = 4 and y = -1
Learn more:
You can learn more about the system of linear equations in brainly.com/question/2115716
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