Answer:
equation: y=-2x+2
a=-3
b=-8
Step-by-step explanation:
we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2
slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
we can plug what we know into the equation:
y=-2x+b
we need to find b though
since the point will pass through the point (3,-4) we can subsitute it into the equation to find b
-4=-2(3)+b
-4=-6+b
2=b
the y intercept is 2
so the equation is y=-2x+2
the line also contains the points (a,8) and (5,b)
first, let's find a
a is the x value of the point
we know the value of y (8)
substitute y as 8 and solve for x
8=-2x+2
subtract
6=-2x
-3=x=a
so a is -3
now find b
b is the y value of the point
we know the x value (5)
substitute x as 5 and solve for y
y=-2(5)+2
y=-10+2
y=-8=b
so b is -8
hope this helps!
Answer:
r=-6
Step-by-step explanation:
6r-7r=13-7
-r=6
r=-6
Answer:
146
Step-by-step explanation:
4×12+5×10+4×12=146
Answer:
The solution is t = 1
Step-by-step explanation:
we have:
16 - 2t= t + 9 + 4t
or 16 - 2t = 5t + 9
-2t - 5t = 9 - 16
and
- 7t = -7
or t = -7/-7
t = 1
The solution is t = 1
Answer:
neither significantly low nor significantly high.
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
Since there are a total of 1400 births we can easily calculate that half of that number is 700. Since the total number of girls born are 698 we can see that it is basically half of the total number of births. Therefore I can subjectively state that this number is neither significantly low nor significantly higher. There are almost an equal number of girls being born than there are boys.
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