Answer:
30
Step-by-step explanation:
59 divided by 1/2 or 2 is 29.5 which round up to 30
Answer:
and 
Step-by-step explanation:
Given:
.......................... equation i
........................ equation ii
since y is equals to the two functions , we can equate the two values of y . That is , equate equation i and ii , we have
Add 
to both sides , we have
subtract 3 from both sides , we have
divide both sides by 4 , then
substitute into equation i to get the value of y , that is
Therefore :
and
We have a three unknown, 4 equation homogeneous system. These always have at least (0,0,0) as a solution. Let's write the equations, one column at a time.
1a + 0b + 0c = 0
-1a + 1b +0c = 0
0a - 1b + c = 0
0a + 0b + -1 c = 0
We could do row reduction but these are easy enough not to bother.
Equation 1 says
a = 0
Equation 4 says
c = 0
Substituting in the two remaining,
-1(0) + 1b + 0c = 0
b = 0
0(0) - 1b + 0 = 0
b = 0
The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)
Answer:
x=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
y = mx+b
m represents the slope and b represents the y-intercept
since you have the slope and a point you can find here the line crosses the y-axis
y = -1/2x + b
the point (-14, 6) can be substituted into the eq for x and y
(6) = -1/2(-14)+b
6 = 7 +b (subtract 7 from both sides)
-1 = b
The line crosses the y-axis at -1
