Answer:
<h3>-4≤y≤7</h3>
Step-by-step explanation:
Given the inequality expressions
4y - 7 ≤ 3y and 3y≤5y+8
For 4y - 7 ≤ 3y
Collect like terms
4y - 3y ≤ 7
y ≤ 7
For 3y≤5y+8
Collect like terms
3y - 5y ≤ 8
-2y ≤ 8
y ≥ 8/-2
y ≥ -4
Combining both solutions
-4≤y≤7
<em>Hence the range of values of y that satisfies both inequalities is -4≤y≤7</em>
This represents the function : y = log₆ (x).
Proof:
Rewrite this logarithmic function into an exponential form:
y = log₆ (x) ↔ x = 6^y
On the graph we see 2 major points A(1,0) and B(6,1). Plug them in x=6^y
1 = 6⁰ = 1 (true)
6 = 6¹ True, then this confirm that the graph equation is y = log₆ (x)
Answer:
The correct answer is last option
surface area = 104 yd²
Step-by-step explanation:
Formula:
Surface area of cylinder = 2πr² + 2πrh
Where r is the radius and h is the height of cylinder
To find the surface area of cylinder
Here r = 4 yd and h = 9yd
Surface area = 2πr² + 2πrh = 2π * 4 * 4 + 2π *4 *9
= 32π + 72π = 104π yd²
Therefore the total surface area of given cylinder = 104π yd²
The correct answer is last option .
The minimum function determines the lowest number in a range!
