Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for 
(not-including 1 because there is an open hole there, indicating it is not part of the domain), and 
.
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
1 :
Step 2 :
Equations which are never true :
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 2x+1 = 0
Subtract 1 from both sides of the equation :
2x = -1
Divide both sides of the equation by 2:
x = -1/2 = -0.500
One solution was found :
x = -1/2 = -0.500
you will be left with 12 dollars.
<u>
</u><u>Step-by-step explanation:
</u>
Given:
The actual money you have = 10 dollars.
The bet amount for each trade= 1$
For each win, you get extra +1 dollar.
Step 1:
So, you won 6 trades= (6*1)= 6$
Step 2:
For each lose, you loss -1 dollar.
Step 3:
So, you lose 4 trades= (4)*(-1)= -4$
Step 4:
After 10 trades, the money you earned is= 6$ -4$= 2 dollars.
Finally, the total money left after 10 trades is= actual money + earned money
= $10 + $2= 12 dollars.
<em>x</em> and <em>w</em> are parallel lines, so
• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and
• angles 1 and 2 are supplementary because they form a linear pair.
The first observation tells you that angle 2 has measure 75º, and angle 1 has measure <em>m</em> such that
<em>m</em> + 75º = 180º
so angle 1 has measure 180º - 75º = 105º.
