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masya89 [10]
3 years ago
5

Solve and check.

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0
R=104.

104/6=17.33333333333333
52/3=17.33333333333333

Hope this helped☺☺
iren [92.7K]3 years ago
6 0
R is supposed to be 104.
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The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
A rectangle has a length of x+7 and a width of x-3. write and expression that represents the AREA of the rectangle.
Lyrx [107]

Answer:

A = x^2 + 4x -21

Step-by-step explanation:

L = x+7

W = x-3

A = L*W

A = (x+7)(x-3)

A = x^2 + 4x - 21

6 0
3 years ago
Shannon's chair is 20 inches tall. How tall is it in centimeters?
JulsSmile [24]

Answer:

50.8 centimeters

Step-by-step explanation:

So, if Shannon's chair is 20 inches tall, you would multiply that by 2.54 in order to get the length in centimeters.

20 x 2.54 = 50.8.

So Shannon's char is 50.8 centimeters tall.

6 0
3 years ago
Georgie had her roof repaired. She was charged an extra 2.5% for late payment. She had to pay a total of £977.85. Calculate how
Nikolay [14]

Answer:

Answer:£23.85 is your answer.

x+2.5%ofx=£977.85

x(1+2.5/100)=£977.85

x=£977.85/(1.025)=954

saving money will be =£977.85-954=£23.85

8 0
3 years ago
Corey bought 2 1/2 liters of paint for $60. What was the cost per liter of paint
goldfiish [28.3K]

Hello there!

Answer:

$24

Step-by-step explanation:

In order to find the answer to your problem, we're going to need to find out how much ONE liter of paint costs.

Lets gather the information of what we know:

2 1/2 liters of paint

↑ Cost $60.

With the information we know, we can solve to find the answer.

In order to get the answer, we would need to divide 60 by 2 1/2 (or 2.5). We would need to do this because when we divide it, it would allow us to get the cost for 1 liter.

Lets solve:

60 \div 2.5=24

When you divide, you should get the answer of 24.

This means that one liter of paint cost $24.

$24 should be your FINAL answer.

6 0
3 years ago
Read 2 more answers
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