Let f(X) = X + 8 and g(X) = x^2 - 6x - 7 find f(g(2)).
1 answer:
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The formula for the surface area of a cylinder is:
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2
If we substitute in the measurements that we know, you get:
2</span><span>
(3.5) (14) + 2</span><span> (3.5)^2
If we simplify this expression, we get:
98</span><span> + 24.5</span><span>
If you simplify once more, you get
122.5</span><span> or </span><span>≈ 384.85
Therefore, the surface area is 122.5</span> or about 384.85<span>
</span>
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2
If we substitute in the measurements that we know, you get:
2</span><span>
If we simplify this expression, we get:
98</span><span>
If you simplify once more, you get
122.5</span><span>
Therefore, the surface area is 122.5</span>
</span>
Answer:
d. The cost of natural gas (y) = $0.83 per unit
Step-by-step explanation:
The explanation is shown below:-
the equation of system is:
750x + 17y = 141.61 (i)
300x + 30y =75.90 (ii)
as x indicates the cost of electricity and y indicates the costs of natural gas.
we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75
after solve the above equation we will get
22,500x + 510y = 4248.3 (iii)
after solve the above equation we will get
22500x + 2250y = 5692.5 (iv)
After deducting the equation (iii) and (iv) we will get
1740 y = 1444.2
After Dividing by 15 both sides,
116y = 96.28
So, Katrina simplify the above system using linear equation and reach at the equation that is
116 y = 96.28
By Division property of equality defines that divide the equal no. of both sides of an equation:
by Division of 116 to both sides of an equation, to get y:
y = 0.83
So, the natural gas is $0.83 per unit