Step-by-step explanation:
The approximate tip is - 12.30$
Because bill is 81.79$
and tip - 15%
therefore bill amount divided by 15/100
==> 81.79* 15% is 12.30$
The complex number is represented as 2 + 3i. The conjugate of the complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign. Therefore, the correct answer is option B. The conjugate of the complex number is 2 − 3i.
110 x 10 - 4 x 7
1,100 - 28
1,072
Because of the symmetry, we can just go from x=0 to x=2 to find the area between
<span>y = x^2 and y = 4 </span>
<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>
<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>
<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
Answer:
See explanation
Step-by-step explanation:
Given the function 
1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be

2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be

See attached diagram for details.