X=31, the other post justifies, I just wanted to make it more accessible for if someone just needs the answer :)
<span>Step 1:
</span>
<span> (((22•5x2) + 25x) - 12x) - 15)))
</span>
<span>The first term is, <span> <span>20x2</span> </span> its coefficient is <span> 20 </span>.
The middle term is, <span> +13x </span> its coefficient is <span> 13 </span>.
The last term, "the constant", is <span> -15
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<span>step 2 above, -12 and 25
<span>20x2 - 12x</span> + 25x - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (5x-3)
Add up the last 2 terms, pulling out common factors :
5 • (5x-3)
Step-5 : Add up the four terms of step 4 :
(4x+5) • (5x-3)
Which is the desired factorization</span>Final result :<span> (5x - 3) • (4x + 5)
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Exponential growth is
F=P(1+r)^t
F=future amount
P=present amount
r=rate
t=time in years
rate=2%=0.02
therefor the equation is
f(x)=23,000(1+0.02)^x
f(x)=23,000(1.02)^x
where x=time in years from 2012
<span> An </span>equation<span> is a mathematical statement that shows the equal value of two expressions while an </span>inequality is a mathematical statement that shows that an expression is lesser than or more than the other. "<span>An 18-wheel truck stops at a weigh station before passing over a bridge. The weight limit on the bridge is 65,000 pounds. The cab (front) of the truck weighs 20,000 pounds, and the trailer (back) of the truck weighs 12,000 pounds when empty. In pounds, how much cargo can the truck carry and still be allowed to cross the bridge?" does this help?</span>
Answer:
p(1/2) = 5
Step-by-step explanation:
Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x
Set up synthetic div.:
1/2 ) 2 -1 10 0
1 0 5
------------------------
2 0 10 5
The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.
