Answer:
D. The minimum y-value of g(x) approaches -3
Step-by-step explanation:
Form a table for values of x with corresponding values for f(x) and g(x)
<u>x </u> <u>f(x)=3x²-3 g(x)=2^x -3 </u>
-3 =3(-3²)-3=24 2⁻³ -3 = -2.88
-2 =3(-2²)-3=9 2⁻² -3 = -2.75
-1 =3(-1²)-3=0 2⁻¹-3 = -2.5
0 =3(0²)-3= -3 2⁰ -3 = -2
1 =3(1²)-3=0 2¹ -3 = -1
2 =3(2²)-3=9 2²- 3 = 1
3 =3(3²)-3=24 2³ -3= 5
From the table above, you can see the minimum value of y in g(x) -2.88 approaches -3
<span>0.75 (1/2x) = 60
60/3 is 20, which is 25% of her remaining money,
So her total remaining money is $80.
Then 80 x 2 = 160</span>
Answer:
The answer is 31
Step-by-step explanation:
Think of the right triangle formed by the ladder, the height of the upper end of the ladder and the distance of the bottom of the ladder from the wall.
Then x = 6 ft and the hyp is 10 ft. The trig function cos theta equals "adj side" / hyp, so, in this case,
cos theta = 6/10 = 0.6. Use the arccos x function on your calculator to find the angle x:
x = 0.927 (radians) = 53.1 degrees.