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vazorg [7]
3 years ago
8

If f(x) = 2x + 3 and g(x) = x2 -1, what is the degree of [fog)(x)?O 2O 5O 7o 10​

Mathematics
2 answers:
klasskru [66]3 years ago
8 0

Answer:  2

<u>Step-by-step explanation:</u>

f(x) = 2x + 3        g(x) = x² - 1

f(g(x)) = f(x² - 1)

         = 2(x² - 1) + 3

         = 2x² - 2  + 3

         = 2x² + 1

The largest exponent is 2 so the degree is 2.                

kaheart [24]3 years ago
5 0

Answer:

Step-by-step explanation:

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If you roll two number cubes what is the probability of rolling two sixes
vazorg [7]

Answer:

the probability of rolling two 6's is 2 out of 12 or 0.167 rounded to the nearest thousandth

Step-by-step explanation:

there are 6 sides on a cube so that's 5 other chances that you'll get 1-5 and having two cubes doubles the chance.

3 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST NOW
hoa [83]

Answer:

5. (2,4)  6. (-1,6)

Step-by-step explanation:

The solution to multiple graphs is where the two graphs meet.  

(-1,6) is the only point where both of the y values are the same.

7 0
3 years ago
A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m
Angelina_Jolie [31]

Answer:

z≈3.16

p≈0.001

we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

<em>step 3:</em>

z statistic is computed as follows:

z=\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } } where

  • X is the proportion of correct answers in the test (\frac{30}{40})
  • M is the expected proportion of correct answers according to the null hypothesis (0.5)
  • p is the probability of correct answer (0.5)
  • N is the total number of questions in the test (40)

z=\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } } ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

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3 years ago
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pishuonlain [190]

Answer:

third angle =180-two congruent angles. is expression.

4 0
2 years ago
Helllppp porfavor:,)
tatuchka [14]

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

7 0
3 years ago
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