Answer:
m=22.5
Step-by-step explanation:
m is proportional to n means there is some constant k such that:
m=kn
If m=5 when n=4 then we have the following equation to solve for our constant k:
5=k(4)
5=4k
Divide both sides by 4:
5/4 =k
So k=5/4 no matter what (m,n) pair they give you where the equation is m=kn.
m=(5/4)n
What is m when n=18?
m=(5/4)(18)
m=(5/2)(9)
m=45/2
m=22.5
Answer:
10
12.5% less than 80 = 10
Step-by-step explanation:
Step 1: Our output value is 80.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 80=100%
Step 4: Similarly, x=12.5%
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
Answer:
A
Step-by-step explanation:
The domain is the span of x-values a graph covers.
From the graph, we can see that the graph only covers the x-values less than or equal to 0. Our x-values never cross and go beyond x=0.
Therefore, our domain is all values less than or equal to 0.
As an inequality, this is:
So, our answer is A.
And we're done!
36. you have to multiply the whole thing.
