If im right, the correct answer should be D.
You're given the slope of the line and a point thru which the line passes. So it makes sense to use the point-slope form of the equation of a straight line: if the point is (a,b) and the slope is m, then
y-b=m(x-a). You'd then solve this for y to obtain the equation in slope-intercept form.
On the other hand, if you're asked to write the equation in slope-intercept form, starting with the general form of this equation may be faster: y=mx+b.
Substitute the given values for x and y (which are 25 and -9) and m (which is (2/5). Solve the resulting equation for b (the y-intercept).
Then write the finished equation: y=( ? )x + b, where b is the y-intercept you've just found.
Answer:
The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.
Step-by-step explanation:
hope this helps :)
This would produce a geometric sequence of the form:
g=3(2.2)^(n-1)
The sum of which is:
g=3(1-2.2^n)/(1-2.2) cleaning up a bit...
g=-3.6(1-2.2^n)
g(15)=-3.6(1-2.2^15)
g(15)=492764.6, since the number of geese must be an integer...
g(15)=492764
To solve this problem, let us first assign variables. Let
us say that:
x = volume of 67% herbicide solution
y = volume of 46% herbicide solution
The total volume should be 42 liters therefore:
x + y = 42
x = 42 – y --> 1
The component mass balance on the pure herbicide would
be:
0.67 x + 0.46 y = 0.55 (42) --> 2
Substituting equation 1 to 2:
0.67 (42 – y) + 0.46 y = 23.1
28.14 – 0.67 y + 0.46 y = 23.1
- 0.21 y = - 5.04
y = 24 L
Calculating for x using equation 1:
x = 42 – 24
x = 18 L
Therefore we only need 18 L of the 67% herbicide
solution.
Answer:
A. 18 L
