Answer:
We must prove that (c+a)(c+d) = (b+c)(b+d)
- Let us use principles from mathematical induction

- a=bx , b=cx, c=dx
- a+c = b + c
- c +d = b + d
- Such that (a+c)(c+d)=(b+c)(b+d)
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First step, i would try to figure out the slope. think of it as a typical y=mx+b linear equation as you check out the graph.
it's just rise over run (rise up this many, run over that many), and your options are (-2/3) or (-3/2)
start at the y-intercept, which is just above the middle of the graph. if you go down 2 and try to go over 3, you hit the line before you can count 3 units. that means this slope is incorrect.
go back to the y-intercept. down 3, over 2--there you go. your slope here is (-3/2), which immediately gets rid of half your answer choices for having the wrong slope
the next thing you have to do is decide <em>where</em> this graph should be shaded. the shaded region shows the domain; the white region shows what's outside of your domain. this inequality is shaded "below" which means that the y values are LESS than "(-3/2)x +1"
that eliminates another one of your answer choices; choice 3 is correct. the inequality is y < (-3/2)x + 1
if the graphs of inequalities are shaded below and the line is dotted, it's less than. if the graphs of inequalities are shaded above and the line is dotted, it's greater than. general rules for ya
Answer:
a.V=5/6T
b. 350 ml
Step-by-step explanation:
a.
V∝T
or V=kT
where k is a constant.
V=250 ml
T=300° K
250=300 k
k=250/300=5/6
so V=5/6 T
b.
V=5/6 T
=5/6×420
=5×70
=350 ml
Answer:
1/3x +4
is the inverse of f(x) = 3x + 4.
Check:
The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.
1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1
Answer:
Step-by-step explanation:
We are looking for two numbers,
and
. From the problem statement, we can setup the following equation:





Because 3 is the only integer solution, the answer is 3 and 4.