Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 5 and (a, b) = (2, - 1), so
y - (- 1) = - 5(x - 2), that is
y + 1 = - 5(x - 2) → A
Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.
Step-by-step explanation:
Let x represent the number of eggs that she uses for one batch of brownies.
Let y represent the number of eggs that she uses for one batch of cookies.
Last month, she made 2 batches of brownies and 3 batches of cookies. This means that
2x + 3y = 16 - - - - - - - - - -1
The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that
x + y = 6 - - - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 3y = 16
2x + 2y = 12
Subtracting, it becomes
y = 4
Substituting y = 4 into equation 2, it becomes
x + 4 = 6
x = 6 - 4 = 2
All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y
My choice would be to solve for x using the first equation.
_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35
Given:
The function is:

To find:
The result of the operation
.
Solution:
If
, then the graph of f(x) is reflected across the x-axis to get the graph of g(x).
We have,

The given operation is:

So, it will result in a reflection across the x-axis.
Therefore, the correct option is A.
Answer:
₹ 72
Step-by-step explanation:
