We may answer the question above by substituting the values of the coordinates of the points in the choices to the x and y of the inequality.
A. (-2, 4) 4 - 4(-2) ≤ -6 12 ≤ -6 FALSE
B. (1, -2) -2 - 4(1<span>) ≤ -6 -6 ≤ -6 TRUE
C (1, 3) 3</span> - 4(1<span>) ≤ -6 -1 ≤ -6 FALSE
D. (2, 3) 3</span> - 4(2<span>) ≤ -6 -5 ≤ -6 FALSE
The answer would be letter B. </span>
Answer: 4.2495 feets
Step-by-step explanation:
Given the following :
Rate of change (speed) when rock hits the lake surface = - 3in/s
Distance or depth after 5 seconds :
Distance = rate of change * time
Distance = (- 3 in/s × 5) = - 15 inches
1 inch = 0.0833 feet
15 inches = (-15 * 0.0833) = - 1.2495 feets
Distance between Lisa's hand and lake surface = 3 feets :
Distance between Lisa's hand and rock after 5 seconds :
(3 feets + 1.2495 feets) = 4.2495 feets
Your answer here would be letter A because for each year it is multiplied by 5 and so year 6 was 31,250 and 31,250 * 5 is 156,250
Have A Good Day :)
Answer:
8 pounds of peanuts, 6 pounds of raisins and 6 pounds of chocolate chips
Step-by-step explanation:
Let x be the number of pounds of peanuts and y be the number of pounds of raisins and chocolate chips.
Peanuts cost $2 per pound, then x pounds cost $2x.
Raisins cost $2.50 per pound, then y pounds cost $2.50y.
Chocolate chips cost $4 per pound, then y pounds cost $4y.
In total, x+y+y=20 and those 20 pounds cost
2x+2.50y+4y=20·2.75.
Solve the system of two equations:
From the first equation:
Substitute x into the second equation:
Answer:
"greatest common factor" (GCF) or "greatest common divisor" (GCD)
Step-by-step explanation:
Apparently, you're looking for the term that has the given definition. It is called the GCF or GCD, the "greatest common factor" or the "greatest common divisor."
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The GCF or GCD can be found a couple of ways. One way is to find the prime factors of the numbers involved, then identify the lowest power of each of the unique prime factors that are common to all numbers. The product of those numbers is the GCF.
<u>Example</u>:
GCF(6, 9)
can be found from the prime factors:
The unique factors are 2 and 3. Only the factor 3 is common to both numbers, and its lowest power is 1. Thus ...
GCF(6, 9) = 3¹ = 3
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Another way to find the GCD is to use Euclid's Algorithm. At each step of the algorithm, the largest number modulo the smallest number is found. If that is not zero, the largest number is replaced by the result, and the process repeated. If the result is zero, the smallest number is the GCD.
GCD(6, 9) = 9 mod 6 = 3 . . . . . (6 mod 3 = 0, so 3 is the GCD)
