Step-by-step explanation:
We have x = -3 or x = 7.
We may verify that these are both solutions to |x-2| = 5:
• |(-3) - 2| = |(-5)| = 5.
• |(7) - 2| = |5| = 5.
a)2x + 5
b)2x − 5
c)x2 − 2
d)x2 + 2
The common binomial factor between the two groups after their GFCs factored out 2x + 5.
The correct option is (A)
The greatest commonfactor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given: 2x³ - 5x² + 4x - 10, splits into (2x³ + 4x) + (-5x² - 10)
So, to find the GCF factorise each term
= (2x³ + 4x) + (-5x² - 10)
= 2*x*x*x+2*2*x-5*x*x-2*5
= 2x(x²+2)-5(x²+2)
= (2x-5) (x²+2)
Hence, the common binomial factor between the two groups (2x-5).
Learn more about GCF here:
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Answer: Adam will run 12 miles in 1 hour.
Step-by-step explanation:
Ok, so we know 4 miles in 20 minutes, correct?
Multiply 20x2. You will get 40. Then, multiply 4x2. That is 8. So in 40 minutes he ran 8 miles. So if we multiply 20x3, we would get 60 minutes which is an hour. So we need to multiply 4 by 3–12.
Answer: 12 miles
Step-by-step explanation:
Answer:
64 cm
Step-by-step explanation:
In a rectangle, two sides opposite each other would be equal to 95. (5 plus 95 is 190. 318 minus 190 is 128. 128 divided by 2 is 64. 64+64+95+95=318.
If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.
Answer for Blank 1:
Answer:
-50
Step-by-step explanation:
The rate of change formula = f(b) - f(a) / b - a
f(b) = the end number (so basically 0 becuase the line ends on the point (3, 0))
f(a) = the start number (so basically 150 becuase the line starts on the point (0, 150)
b = the end time (so basically 3 becuase the line ends on the point (3, 0))
a = the start time (so basically 0 becuase the line starts on the point (0, 150)
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sorry if that is confusing... moving on...
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You would apply these numbers = 0 - 150 / 3 - 0 = -150 / 3 = -50
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This is your rate of change
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I hope this helped :)
Please solve
The simple interest on a $79,500 loan borrowed for 5 months at a 6.30% interest rate is $25,087.50.
To calculate the simple interest, we can use the formula: Simple Interest = Principal Amount * Rate * Time. In this case, the principal amount is $79,500, the rate is 6.30%, and the time is 5 months. First, convert the rate to a decimal by dividing it by 100: 6.30/100 = 0.063. Then, substitute the values into the formula: Simple Interest = $79,500 * 0.063 * 5 = $25,087.50.
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