<span>The answer is: [C]:
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Multiply each side by −8, subtract 35 from each side.
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Explanation:
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Given: You have (-1/8)*(x + 35) = -7
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Note that all the answer choices given start with: "Multiply each side by....";
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Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number.
Then you would be left with: x + 35 = 56 ; so the next step would be to:
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Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".
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Answer: 70
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Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
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If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.
