f(x)=2x+5
first find inverse
write it without f(x)
y = 2x + 5
x = 2y + 5 swap the variables, now solve for y
- 5 -5
x - 5 = 2y
/2 /2 divide both sides by 2
(x-5)/2 = y
so f-1(x) = (x-5)/2
f-1(8) = (8-5)/2
= (3)/2
f-1(8) = 3/2
Answer:
A. (125.6 in)
Step-by-step explanation:
R = d / 2 = 40 / 2 = 20 in
Circumference is:
S = 2*π*R=2*3.14*20=125.6 in
Paaralellogram has 2 pairs of paralell sidess
therefor there are 2 pairs of sides with same legnth
perimiter=legnth+widht+legnth+width since the opposite sides ar the same sinnce paralell
perimiter=2legnth +2width
perimiter=15.42
legnth=2.93
subsitute
15.42=2(2.93)+2width
15.42=5.86+2width
subtract 5.86 from both sides
9.56=2width
divide both sides by 2
4.78
legth of ther side is 4.78 cm
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
<h3>How to Find the Graph of a Linear Inequality?</h3>
The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
Learn more about inequality graph on:
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Answer:
The height of the cactus is three times the height of the gate
The gate is 3 feet tall
