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bogdanovich [222]
3 years ago
11

Evaluate the following polynomial if x = -3 \large x^2-5x+12

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer: 36

Step-by-step explanation: If you're asking what the expression equals after plugging X's value in, this should leave you with an expression of -3^2 - 5(-3) + 12. By following the order of operations, you should receive an answer of 36.

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Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved? ​
4vir4ik [10]

Answer:

Word problem 3        

Step-by-step explanation:

Word Problem one is a subtraction problem since Felicia is giving away two marbles to Lucas. Word Problem two is a division problem since Felicia is evenly dividing the number of marbles she has into two bags. Word Problem three is a multiplication problem because Ryan has two times as many marbles that Felicia does. Word Problem four is an addition problem because she found two more marbles while she already has eight marbles. Keywords for subtraction word problems are: fewer than, decrease, take away, less than, minus, difference, change, lost reduced, and subtract. Keywords for division word problems are: As much, cut up, groups, equally, sharing, half, how many in each, parts, per percent, quotient, ratio, and separated. Keywords for multiplication word problems are: double, every, factor, increased, multiplied product, times, and tripled.

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3 years ago
I need help with this math problem ​
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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Janelle buys 4 cases of water , each case of water contains 12 bottles, janelle drinks 3 bottles of water, what expression repre
vitfil [10]
12 times 4 minus 3 because the 12 represents how much is in each of the 4 cases and you minus that by 3 and you get your answer
8 0
3 years ago
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As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have T = 1.9855.

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{5.6}{\sqrt{96}} = 0.57

Now, we multiply T and s

M = T*s = 1.9855*0.57 = 1.31

For the lower end of the interval, we subtract the mean by M. So 19.6 - 1.31 = 18.29

For the upper end of the interval, we add the mean to M. So 19.6 + 1.31 = 20.91

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
4 years ago
Plz help me 75 points for the 2 questions!!!
liraira [26]

Answer:

<h3>#1</h3>

<u>The system of equations:</u>

  • 2x + 7y = -11
  • 3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

  • 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
  • 6x + 21y - 6x - 10y = -33 + 44
  • 11y = 11
  • y = 1

<u>Find x:</u>

  • 2x + 7*1 = -11
  • 2x = -11 - 7
  • 2x = -18
  • x = -9

<u>The solution is:</u>

  • x = -9, y = 1
<h3>#2</h3>

<u>Simplifying in steps:</u>

  • 8u - 29 > -3(3 - 4u)
  • 8u - 29 > - 9 + 12u
  • 12u - 8u < -29 + 9
  • 4u < -20
  • u < -5
3 0
3 years ago
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