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Vlad [161]
3 years ago
9

What is the product of (5k+1)(2k-3)

Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

10k^2 - 13k - 3

Step-by-step explanation:

( 5k + 1 ) ( 2k - 3 )

= 5k ( 2k - 3 ) + 1 ( 2k - 3 )

= 10k^2 - 15k + 2k - 3

= 10k^2 - 13k - 3

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PROBLEM #1
lesantik [10]

Answer:

  • 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>

  • Initial amount: 500

<u>2.  He wants to have at least $200 in the account by the end of summer. </u>

<u />

  • Final amount ≥ 200

<u>3. He withdraws $25 a week for his cell phone bill.</u>

<u />

  • Call w the number of weeks
  • Withdrawls = 25w

<u>4. Write an inequality that represents Keith's situation.</u>

  • Create your model: Final amount = Initial amount - withdrawals ≥ 500

  • 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

  • 500 - 200 ≥ 25w
  • 300 ≥ 25w
  • 300/25 ≥ w
  • 12 ≥ w
  • w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

8 0
3 years ago
If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly
cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^n-x, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (-10, 2) and (-5, -1)
Dafna11 [192]

Answer:

(4, 5)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
G(t)= t-3 <br> h(x)= 3t-2 <br> find (g-h)(t)
Marina86 [1]

Answer:

g(t) - h(t) = -2t - 1

Step-by-step explanation:

g(t) - h(t) = t-3-3t+2

= -2t -1

6 0
4 years ago
7. What is the perimeter around this figure in feet?
Hoochie [10]

Answer:

20.667

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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