Answer:
Step-by-step explanation:
I am sorry this is to confusing for me
<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:
one solution.. your answer is correct
Step-by-step explanation:
discriminate = 900 - (4*9*25) = 0
thus only one solution
Answer:
7.5 gallons
Step-by-step explanation:
you do 180 divided by 40 = 4.5
you then do 105 divided by 35=3
you then add 4.5 gallons and 3 gallons to get 7.5 gallons
Subsitution
2y-x=5
minus 2y both sides
-x=5-2y
times -2 both sides
x=2y-5
subsitute 2y-5 for x in other equation
(2y-5)²+y²-25=0
expand
4y²-20y+25+y²-25=0
5y²-20y=0
factor
5y(y-4)=0
set to zero
5y=0
y=0
y-4=0
y=4
subsitute back
for y=0
x=2y-5
x=2(0)-5
x=-5
one solution is (-5,0)
for x=4
x=2y-5
x=2(4)-5
x=8-5
x=3
one solution is (3,4)
the 2 soltuions are (-5,0) and (3,4)
