I'm going to use the rule if x = a/b is a root, then (bx-a) is a factor If we set the factor bx-a equal to zero and solve, then we get bx-a = 0 bx = a x = a/b where b is nonzero
So if x = -2/5 is a root, then x = -2/5 5x = -2 5x+2 = 0 making (5x+2) a factor
If x = -6 is a root then x = -6 x+6 = 0 making (x+6) a factor
And if x = 4/3 is a root, then x = 4/3 3x = 4 3x-4 = 0 making (3x-4) a factor
The three factors found were: (5x+2) and (x+6) and (3x-4)
So one factorization could be (5x+2)(x+6)(3x-4) which is what choice D is showing
* The force of friction acts in opposite direction in which the surface is having tendency to move . * the force of friction is equal to force applied to surfaces , so long as surface is at rest .
Exponential functions are in the form , where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.
Tiffany ate ¼ of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?
Solution given;
Since total=16 slices
Tiffany ate =¼ part of pizza
now
Tiffany ate=¼ part of 16 slices=¼*16=4slices
Tiffany ate4slices.
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Katelyn ate ⅓ of an apple pie, and Chad ate 3/8 of the same pie. What fraction of the pie was eaten?
Solution given:
Katelyn ate ⅓ of an apple pie
Chad ate ⅜ of the same pie
now
eaten fraction of the pie =⅓+⅜=
<h3>= fraction of the pie was eaten.</h3>
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Vince has ½ ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Solutiongiven:
8squareyards=½ ton of gravel
each square yards=½*⅛=ton of gravel
Candice spent 345 hours, and Shane spend 2 10 hours at track practice over the weekend. How many more hours did Candice spend than Shane at track practice?