Answer:
4(3x+4)(3x-4)
Step-by-step explanation:
4(9x^2-16)
Answer:
4(3x−4)(3x+4)
Step-by-step explanation:
Answer:
we use letters in algebra to represent unknown variables
Step-by-step explanation:
Answer:
letter
Step-by-step explanation:
Answer: y = -15x + 225
Step-by-step explanation:
slope-intercept form is y = mx + b
The 225 is the starting amount.
x is the number of days since the machine was loaded.
-15 is the amount subtracted on average per day. It is the slope, m
y is the number of sodas left in the machine
The length of the rectangle is 15 dm and the width is 13 dm.
Let's assume that the length of the rectangle is "L" and the width is "W".
From the problem statement, we have two pieces of information:
The area of the rectangle is 195 dm²:
Area = Length x Width
195 dm² = L x W
The width is two less than the length:
W = L - 2
Now, we can substitute the second equation into the first equation to eliminate W and get an equation with only one variable:
195 dm² = L x (L - 2)
Simplifying the equation:
195 dm² = L² - 2L
L² - 2L - 195 dm² = 0
To solve for L, we can use the quadratic formula:
L = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = -2, and c = -195.
L = (2 ± √(2² + 4 x 1 x 195)) / 2 x 1
L = (2 ± √4 + 780) / 2
L = (2 ± √784) / 2
L = (2 ± 28) / 2
L = 15 or L = -13
Since the length can't be negative, the length of the rectangle is L = 15 dm.
Now we can use the equation W = L - 2 to find the width:
W = 15 dm - 2 dm
W = 13 dm
Therefore, the length of the rectangle is 15 dm and the width is 13 dm.
To know more about width click here:
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B. a small variance for the difference scores and a large standard error
C. a large variance for the difference scores and a small standard error
D. a large variance for the difference scores and a large standard error
Answer:
A) a small variance for the difference scores and a small standard error
Step-by-step explanation:
Since the difference scores are obtained by subtracting one variable form another, if the difference scores are consistent between treatments, then the variance will be small. The higher the variance, the higher the standard error. So if the variance is small, then the standard error will also be small.
Answer:I'm here to help! However, your question is a bit vague. Could you please provide more context or clarify what you mean by "X and Y"? Are you referring to variables, coordinates, equations, or something else? The more details you can provide, the better I'll be able to assist you.
Step-by-step explanation:
Answer:
x = -
Step-by-step explanation:
2 + + x =
Multiply through by 40 ( the LCM of 5 and 8 ) to clear the fractions
80 + 8x + 40x = 35
48x + 80 = 35 ( subtract 80 from both sides )
48x = - 45 ( divide both sides by 48 )
x = - = -