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Xelga [282]
3 years ago
12

!!!HELP ME WITH THIS QUESTION PLEASE!!!

Mathematics
1 answer:
lidiya [134]3 years ago
3 0

9514 1404 393

Answer:

  A.  {1, 7, 11}

Step-by-step explanation:

The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.

_____

If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":

  (2x -1)x +1

For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11

For x = 0, this is 1

For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7

So, the range for the given domain is {1, 7, 11} . . . . . matches choice A

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Find the exact value of the slope of the line which is tangent to the curve given by the equation
Viktor [21]

Answer:

-2

Step-by-step explanation:

x = r cos θ

y = r sin θ

dx/dθ = -r sin θ + r' cos θ

dy/dθ = r cos θ + r' sin θ

dy/dx = (r cos θ + r' sin θ) / (-r sin θ + r' cos θ)

At θ = π/2, cos θ = 0, sin θ = 1, and r = 1.  So the derivative simplifies to:

dy/dx = (r') / (-1)

dy/dx = -r'

dy/dx = -2 sin θ

dy/dx = -2

3 0
3 years ago
• probability that a student is a high school junior is 0.47 • probability that a student is a high school junior and owns a car
Nostrana [21]
The answer could be 0.88
5 0
3 years ago
Read 2 more answers
Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe
omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

  • If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.
  • If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, H_1 : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

             P-value = P(Z < -1.68) = 1 - P(Z \leq 1.68)

                           = 1 - 0.95352 = <u>0.0465</u>

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

             P-value = P(Z > 0.41) = 1 - P(Z \leq 0.41)

                           = 1 - 0.6591 = <u>0.3409</u>

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

5 0
3 years ago
2. The second term of an arithmetic sequence is -5, and the third term is 12. What is the first term?​
kondaur [170]

Answer: -12

Step-by-step explanation:

To get from -5 to 12, you'd add 7

So to get to the first, subtract 7 from -5

4 0
3 years ago
The original price of a pair of shoes is $42. The sale price is 20% off the original price. What is the amount off the original
alexira [117]
You would have to take 42 and multiply it by .20 and get tht number and add it back to 42

3 0
3 years ago
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