Answer:
A
Step-by-step explanation:
There are two ways you could do this question. You could graph it with something like Desmos or you could put a couple of x values in for f(x). I'll do the latter first. When you understand it, try putting it into Desmos.
f(x) = (3/4)^x
f(0) = (3/4)^0
f(0) = 1
=======
f(x) = (3/4)^x
f(1) = 3/4
=========
g(x) = (3/4)^x - 6
g(0) = (3/4)^0 - 6
g(0) = 1 - 6
g(0) = - 5
========
g(x) = (3/4)^x - 6
g(1) = (3/4)^1 - 6
g(1)= 3/4 - 6
g(1) = -5 1/4
Conclusion
It looks like the graph has shifted down 6.
Answer
A
Answer:
PQ = 16.04cm
Step-by-step explanation:
θ = 76°
QR = 4cm
PQ = ?
Since it's a right angle triangle,
QR = adjacent
PQ = opposite
Tanθ = opposite/adjacent
Tan76 = pq / 4
PQ = 4tan76
PQ = 4 * 4.010
PQ = 16.04cm
Answer:
B. 15 ft^3
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B represents the area of the base, and h represents the height.
The base is apparently a rectangle, so its area is the product of its length and width:
B = L·W = (4.5 ft)(4 ft) = 18 ft^2
Then the volume is ...
V = (1/3)(18 ft^2)(2.5 ft) = 15 ft^3
15 cubic feet of sand will be needed to fill the base.
Answer:
Step-by-step explanation:
Let x = third side
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.