Answer:
tep-by-step explanation:
In order to find the integral:
we can do the following substitution:
Let's call
Then
which allows us to do convert the original integral into a much simpler one of easy solution:
Therefore, our integral written in terms of "x" would be:
Answer:
6 8/9 , 69/10 , 6.99 , 7.927
Step-by-step explanation:
let me know if the propositions they gave don't match with mine.
thanks
Kiran earns $8.50 per hour.
Let x represent Kiran's pay. He worked 23 hours last week, so his pay would be given by 23x.
Kiran's cousin is paid 30% more. 30% = 30/100 = 0.3. We add this to the x per hour that Kiran is paid:
x + 0.3x = 1.3x
This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)
This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85
Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5
Thus Kiran earns 8.50 per hour.
Answer:
Step-by-step explanation:
f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.
g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.
