Answer:
So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:
For this case we can use the following substitution 
and we have 
And if we solve the integral we got:
And we can rewrite the expression again in terms of x and we got:
And we can solve this using the fundamental theorem of calculus like this:
So then the integral converges and the area below the curve and the x axis would be 5.
Answer:
<h2>
75 km per hour</h2>
Step-by-step explanation:
divided by two is 
.
Complete question
Shop A _________________ shop B £3
Any sandwich - £2.85 ___ sandwich, water crisp
A bottle of water - 60p
A bag of crisp - 85p
Answer:
£6.50, John is incorrect
Step-by-step explanation:
Number of working days = 5 = number of days meal is purchased
Total cost per meal, shop A :
£(2.85 + 0.60 + 0.85) = £4.3
Total cost for the week = 4.3 * 5 = £21.50
Total cost per meal cost Shop B = £3
Total cost for the week = 3 * 5 = £15
Difference :
£21.50 - £15 = £6.50
Hence, Amount John saves by buying from shop B is £6.50
Numbe
Answer:
y divided by 6 1/4 = 11 3/4
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
y divided by 25/4 = 47/4
Next, multiply both sides by 25/4:
y divided by 25/4 x 25/4 = 47/4 x 25/4
The 25/4's on the left side of the equation cancel each other out, leaving you with:
y = 47/4 x 25/4
Multiply 47 x 25 and keep the same denominator:
y = 1,175/4
Divide and:
y = 293 3/4
Answer:
y = -2x -3
Step-by-step explanation:
The line crosses the y-axis at -3, so that is the y-intercept.
It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)
The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:
y = mx + b
For the values this line has, the equation is ...
y = -2x -3
