The previous answer from another person got deleted, so I'm here to put it back in my own words.
(Edit: The answer is A)
First of all, you can take 4 out of each, so simplify everything by 4.
4(x^4 - 6x^3 + 9x^2)
Next, you can see that you're able to take out x^2
4x^2(x^2 - 6x + 9)
You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this
(x+3)^2 or (x-3)^2
Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9
This would turn the now factored equation into :
4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A
Answer: 0.84 as a fraction is 84/100
Greatest common factor is 4
Resulting fraction is 21/25
Addition of numerator and denominator of the resulting fraction is 46
Step-by-step explanation:
From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84
Convert 0.84 to fraction = 84/100
The numerator and denominator in 84/100 are both positive integers.
The greatest common factor to the numerator and denominator is 4
Divide 84 by 4 = 21
Divide 100 by 4 = 25
Therefore, the resulting fraction is 21/25
Addition of 21 and 25 equals 46.
I hope this helps.
Answer:
A) 6.86×10⁴
Step-by-step explanation:
You want to write 68600 in scientific notation.
<h3>Expanded form</h3>
The number 68600 can be written in expanded form with exponents as ...
68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰
The left-most term of this sum tells you the exponent in scientific notation:
68600 = 6.86×10⁴
Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
