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jarptica [38.1K]
3 years ago
12

Consider functions f, g, and h below.

Mathematics
2 answers:
shutvik [7]3 years ago
8 0
We evaluate f (x) between [0, 2]
 We have then:
 f (x) = x2 + 2x +3
 f (0) = (0) 2 + 2 (0) +3 = 3
 f (1) = (1) 2 + 2 (1) +3 = 6
 f (2) = (2) 2 + 2 (2) +3 = 11
 We observe that the function g between [0, 2] is between 4 and 7
 We observe that the function h is a linear equation whose rate of change is constant and equal to three.
 Answer:
 
from least to greatest, by the rate of change of functions over the interval [0, 2] we have:
 
g, h, f
dsp733 years ago
4 0

Answer: g,h,f

Step-by-step explanation:

For Plato

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8 0
2 years ago
The product of two numbers is 192. what is the minimum value of the sum of the first value plus twice the second value
VARVARA [1.3K]
Let x and y be the two positive numbers. -  Their product is 192: x *  y  =  192   equation 1

-  the sum of the first plus twice the second is a minimum:  x + 2y

<span>From the first equation, y =  192 / x. 
Substitute that into the second equation:
</span>
 x + 2y = x + 2(<span>192/x ) = x + 384/x

</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0 

f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2 

<span>1-384  / x^2 =  0 

x^2-384 = 0 

x^ 2= 354
 x = radical  354    = 18.8  here i'm confused why the number is decimal
???/ 
</span>

4 0
3 years ago
The following table shows a portion of a five-year amortization schedule. A 5-year amortization schedule. Loan amount or princip
kogti [31]

The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The following table shows a portion of a five-year amortization schedule.

A 5-year amortization schedule.

Loan amount or principal: 10,900 dollars.

The interest rate on loan: 10. 95 percent.

The table will be

Month         Payment         Principal         Interest         Balance

  15               236.72            155.87            80.85           8704.27

  16               236.72            157.29            79.43           8546.98

  17               236.72            158.73            77.99            8388.25

  18               236.72            160.18            76.54            8228.07

  19               236.72            161.64            75.08            80.66.43

  20              236.72            163.11             73.61             7903.32

Total payment = 6 × 236.72 = $ 1420.32

Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61

Total interest = $ 463.38

Then the percentage will be

\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx  32.6\ \%

More about the percentage link is given below.

brainly.com/question/8011401

7 0
2 years ago
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