Answer:
A) 0.106
Step-by-step explanation:
8e^3x + 4 = 15
Subtract 4 from each side
8e^3x + 4-4 = 15-4
8e^3x = 11
Divide each side by 8
8/8e^3x = 11/8
e^(3x) = 11/8
Take the natural log of each side
ln(e^(3x)) = ln(11/8)
3x = ln(11/8)
Divide by 3
3x/3 = 1/3 ln(11/8)
x = 1/3 ln(11/8)
x =.106151244
To the nearest thousandth
x = .106
C=3.14 x 26
C=81.64
C=2(3.14 x 13)
C=81.64
Let the number be x.
Half of that number = x / 2
One third of the number = x / 3
= x / 2 + x / 3 = 22. LCM = 6.
= (3x + 2 x) / 6 = 22.
5x / 6 = 22. Cross multiply
5x = 6 * 22.
5x = 132 Divide both sides by 5.
x = 132 / 5
x = 26.4
The number is 26.4. Cheers.
Answer:
Adam ran 15.9 miles
Step-by-step explanation:
Yes it is a function. It is a horizontal line.
Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.
Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.
Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b
m = 0 is the slope
b = 4 is the y intercept
