Answer: x = -44/7
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
7x+3−3=−41−3
7x=−44
Step 2: Divide both sides by 7.
7x/7 = -44/7
Answer:
-44/7
Answer:
Step-by-step explanation:
From the given information:
Since three sides of the garden need to be enclosed because the fourth side is a building.
The area is xy and the perimeter will be x + 2y
Calculating the perimeter in terms of x; we have:
P = x+2y = 232 ----- (21)
y = (232 - x) / 2
y = 116 - (x/2)
Now; to calculate the area since the value of y in terms of x is known.
A = xy
A = x[116 - (x/2)]
A=116x - (x^2/2) ----- (2)
Taking the derivative of eqaution (2); we have:
A' = 116 - x
Relating it as it is equal to zero, thereby solving for x
; we have:
116 - x = 0
x = 116
From equation (1)
P = 116 +2y = 232
2y = 232 -116
2y = 116
y = 116/2
y = 58
Thus; the area A = xy can be calculated as:
A=xy
A=116(58)
A= 6728
Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)
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Explanation:
As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller.
The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units.
Answer:
x=-3 and x=1 are 2 zeros shown on the graph
Step-by-step explanation:
