Answer: 14
<u>Step-by-step explanation:</u>
f(x) = 3x + 2
To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y
x = 3y + 2
x - 2 = 3y





f(f⁻¹(14)) = f(4)
f(4) = 3(4) + 2
= 12 + 2
= 14
NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14
<span>Two cylinders are shown. One is 216in^3 and one is 343in^3. Divide the smaller number (216) by the larger number (343). The answer is .629. That means that the smaller figure is approximately 63% the size of the larger figure.</span>
The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.
On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.
S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2
The lateral area of the cylinder is 240<span>π cm^2 or in other words letter B from the given choices.</span>
In all cases, we will let x represent the number.
1) 54 tens = 540
90 - 540 = -450
x > -450
2) x < 36 and x > 24
24 < x < 36
3) 8 tens and 5 ones = 80 + 5 = 85
x > 85
4) x > 27
x < 33
And the value in the ones place is less than the value in the tens place, so
30 ≤ x ≤ 32