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s2008m [1.1K]
4 years ago
11

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

Mathematics
1 answer:
Taya2010 [7]4 years ago
6 0
F(x) = 4x^2 + 12
g(x) = x - 1
(f o g)(x) = f(g(x)) = 4(x - 1)^2 + 12 = 4(x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16

(f o g)(3) = 4(3)^2 - 8(3) + 16 = 4(9) - 24 + 16 = 36 - 8 = 28
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which set of ordered pairs represents a function? {(1, -9), (-5, -5), (1, -8), (-9, 5)}, { (3,6), (2, 1), (-8, 4), (2,0) }
Bezzdna [24]

Answer:

the answer is ((3,6),(2,1),(-8,4),(2,0)) because to be function the domin must not be the same

8 0
3 years ago
Write the ratio as a fraction in lowest terms.<br> 15 minutes to 3 hours
mel-nik [20]

Answer:

Part A is 5/6 of the whole

Part B is 1/6 of the whole

Solution:

Assuming there are no other parts,

the Whole = A + B is the denominator:

Whole = 15 + 3 = 18

Part A = 15 and Part B = 3 are numerators for each fraction.

The fractions are then:

15/18 and 3/18

Meaning:

Part A is 15/18 of the whole

Part B is 3/18 of the whole

Reducing the fractions, it is also true that:

Part A = 5/6 of the whole

Part B = 1/6 of the whole

7 0
3 years ago
Read 2 more answers
An angle measures 112º more than the measure of its supplementary angle. What is the
Alexeev081 [22]

Answer:

The angles measure 34 degrees and 146 degrees.

Step-by-step explanation:

The supplement measures x.

The angle measures x + 112.

The measures of supplementary angles have a sum of 180 deg.

x + 112 + x = 180

2x + 112 = 180

2x = 68

x = 34

x + 112 = 146

The angles measure 34 degrees and 146 degrees.

3 0
3 years ago
The price of a jeans was reduced $6 per week for 7 weeks. By how much did the price of the jeans change over the 7 weeks?
kompoz [17]
It was reduced by $42.00 by the end of the seven weeks. 
4 0
4 years ago
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The standard deviation of test scores on a certain achievement test is 11.3. If a randomsample of 81 students had a sample mean
Svetradugi [14.3K]

Answer: (72.535, 76.665)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \sigma = population standard deviation.

n= Sample size

\overline{x} = sample mean.

z^* = Critical z-value (two-tailed)

Given : \sigma=11.3

n= 81

\overline{x}=74.6

The critical values for 90% confidence interval : z^*=\pm1.645

Now, the confidence interval for population mean would be :

74.6\pm (1.645)\dfrac{11.3}{\sqrt{81}}\\\\=74.6\pm(1.645)(\dfrac{11.3}{9})\approx74.6\pm2.065\\\\=(74.6-2.065,\ 74.6+2.065)\\\\=(72.535,\ 76.665)

Hence, a 90 percent confidence interval estimatefor the average score of all students. : (72.535, 76.665)

8 0
3 years ago
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