Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Step-by-step explanation:
2scoop: .5 gal= ONE PITCHER
1scoop: .25gal= HALF PITCHER
×8
8scoop: SHOULD BE 2gal= 4 PITCHERS
Answer:
9 * 10^4 is 300 times larger than 3 * 10^2
Step-by-step explanation:
Here, we want to compare the two figures and give the verdict on how big they are
as we can see, by squaring the second figure, we get the first
Mathematically, what we are saying is that;
(9 * 10^4) = (3 * 10^2)^2
So
basically, the difference between the two is to the tune of (3 * 10^2)
Hence we can conclude that the first number is 300 times bigger than the second number
I think the answer is c sorry if I’m wrong
The number of grams is 20 grams
Let x represent how many grams of a 15 percent alcohol solution
15%x+30%.40/x+40
=25%
0.15x+0.4.30=0.25 (x+40)
0.15x+12=0.25x+10
0.15x-0.25x=10+12
-0.1x=-2
x=-2/-0.1
x=20
Inconclusion The number of grams is 20 grams
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brainly.com/question/24750329
