Answer:
1. 20 min and 15 sec
2. 4 min and 30 sec
3. y=80x-20
4. the second one
Step-by-step explanation:
1. in 2 min you have 25 g
in 15 sec you loose 2.5 g
2. in 4 min you have 5 g
in 30 sec you loose 5 g
3. y=45x-10
y=80x-20
4. it takes 2 min and 15 sec to empty the first one and 3 min to empty the second one.
Answer:
B. The median weight of the dogs in the survey is 57 pounds
Step-by-step explanation:
69 divided by 12. You divide 12 into the 69. 12 goes into 69 5.75 times.
9514 1404 393
Answer:
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^0 = 1 . . . . for a ≠ 0
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And, it is convenient to know the cubes of small integers:
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125
6³ = 216; 7³ = 343; 8³ = 512; 9³ = 729; 10³ = 1000
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1) p^3 × p^5 = p^-12 × p^y
Equating exponents:
3 + 5 = -12 + y
20 = y . . . . . . . . . . . add 12
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2) 64 × 4^5 = 4^3 × 4^5 = 4^(3+5) = 4^8
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3) 10^x = 1 = 10^0
x = 0
A distinct real solution is a solution to an equation that occurs once, and differs in value from other solutions. For example, in the equation above there are two distinct real solutions: x = − 13 2 and x = 13 2 . Since they are different, real numbers, the equation has two distinct real solutions.
The value of the discriminant determines how many solutions the quadratic will have. Equation 1: the discriminant was zero, there was only 1 solution. Equation 2: the discriminant was a negative number, there was no solution. Equation 3: the discriminant was a positive number, there were two solutions.
