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Inga [223]
3 years ago
11

How would you go about solving for (3g - 25)(-5)?

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

10t³ - 95t + 45

Step-by-step explanation:

  • Plug the g(t) and h(t) into the equation: (3(3t - 3) - 2(t³ - 5t)) (-5)
  • Distribute 3 & -2 through the prentheses : (9t - 9 2t³ + 10t) (-5)
  • Collect like terms : (19t - 9 - 2t³) (-5)
  • Distrubute -5 through the parentheses: -95t + 45 + 10t³
  • Use the commutative property to reorder the terms : 10t³ - 95t + 45

Solution : 10t³ - 95t + 45

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A stadium's normal ticket price is $78. As a special promotion they offer 15% off. What is the price of the discounted ticket?
alexgriva [62]
ANSWER: $66.30

WORK:
to find 15% off, multiply by 0.15.
78 x 0.15 = 11.7

note: this is the percent off, so it's subtracted to find the sale price. 

78 - 11.70 = 66.3

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3 years ago
A novelist can write 1 chapter in 6 days. At that rate how many chapters can be written in 24 days
Andre45 [30]

I think that the answer would be 4 chapters.

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Give a direct proof that the sum an even integer and an odd integer is odd.
mina [271]
Even integer: 2 x a, where a is a  natural number without 0;
Odd integer : 2 x b + 1 , where b is a natural number;
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What kind of decimal is 0.05? How do you know?
solniwko [45]

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3 0
2 years ago
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What does i^739 equal? explain how you found your answer.
Sophie [7]
<h3>Answer:   -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

  • i^0 = 1
  • i^1 = i
  • i^2 = -1
  • i^3 = i*i^2 = i*(-1) = -i
  • i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

  • if i^a = i^b, then a-b is a multiple of 4
  • Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
4 0
2 years ago
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