Number of zids=x
number of zods=y
number of zid legs=5x
number of zod legs=7y
so
5x+7y=140
try to get it into slope intercept from so you can graph is (y=mx+b)
5x+7y=140
subtract 5x from both sides
7y=140-5x
divide both sides by 7
y=20-5/7x
y=-5/7x+20
plug in numbers for x and get numbers for y (you can only plug in multiples of 7 for x so that there are a whole number of zids and since you are counting, x and y must never be negative)
lets try 0 for x
y=-5/7(0)+20
y=20
so x=0 and y=20 is an answer (if you can have only one of that species)
lets try 7 for x
y=-5/7(7)+20
y=-5+20
y=15
so x=7 and y=15 is an answer
lets try 14 for x
y=-5/7(14)+20
y=-10+20
y=10
so x=14 and y=10 is another answer
lets try 21 for x
y=-5/7(21)+20
y=-15+20
y=5
so x=21 and y=5 is another answer
lets try 28 for x
y=-5/7(28)-20
y=-20+20
y=0
so x=28 and y=0 is an answer (if there can be only one of a species)
if we go further, then y will be negative so the answers are
(x,y)
(0,20)
(7,15)
(14,10)
(21,5)
(28,0)
if it is allowed that only one species exists then there are 5 possible answers
if both must exist simultaneously, then there are only 3 answers
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When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.
Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}
\frac{2*9}{5*9}=\frac{x}{45}
\frac{18}{45}=\frac{x}{45}
18=x
In case of more complex fractions it may come in handy.
Step-by-step explanation:
f(x) = 2x²+8x+10
vertex point :
x = -8/2(2)= -8/4
=> x = -2 <= this is a symetry axis
f(-2)= 2(-2)²+8(-2)+10=8-16+10=2
the vertex point : (-2, 2)
intercept with y-axis :
f(0) = 0+0+10 = 10
the point : (0, 10)
the drawing as attached
Answer:
The answer is on the site
Step-by-step explanation:
https://www.bartleby.com/questions-and-answers/find-the-equation-of-a-line-passing-through-point-32-and-perpendicular-to-the-line-2x-3y-40./009bf91e-86e4-4b09-9d15-2d08cb5293fd
