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ira [324]
4 years ago
15

Solve the equation by completing the square. 0=x^2-14x+46

Mathematics
1 answer:
Andru [333]4 years ago
6 0

Answer:

x = 7+√(3), 7-√(3)

Step-by-step explanation:

x^2 - 14x + ___ = -46 + ___

x^2 - 14x + 49 = -46 + 49

(x-7)^2 = 3

√(3) = x-7

x = 7+√(3), 7-√(3)

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Evaluate the expression when a= 4, b= - 2, and c= 7 - -> 5a - 9 (b - c)
ollegr [7]

Answer:

65

Step-by-step explanation:

Given the following question:

5a-9(b-c)
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

5\times4-9\times(2-7)
2-7=-5
5\times4-9\times-5
5\times4=20
20-9\times-5
9\times-5=-45
20--45
20+45=65
=65

Hope this helps.

8 0
3 years ago
Oil consumption in China grew exponentially from 8.938 million barrels per day in 2010 to 10.480 million barrels per day in 2013
Afina-wow [57]

Let the year represents x axis and consumption represents y axis.

Since 2010 is the initial year, x=0

and 2013 is third year , so x=3

Co-ordinates are (0,8.938)(3,10.480)

Exponential formula is y=ab^{x}

Putting the value of x in the above formula from 1st coordinate,

8.938=ab^{0}

As b^{0} = 1

this gives a= 8.938

Now using the 2nd coordinate

10.480=ab^{3}

putting the value of a in it we have

10.480=8.938b^{3}

taking cube roots on both sides we get

b= 1.05448

Now putting the values of a and b in the exponential formula-

y=8.938(1.05448)^{x}

In the year 2028, x=28

so,

y=8.938(1.05448)^{28}

y= 39.474

Hence oil consumption per day in 2028 will be 39.474 million barrels.

5 0
3 years ago
Read 2 more answers
Work out <br>2 3/14 + 3 4/14 <br>Give your answer as a mixed number in its simplest form. ​
Gelneren [198K]
Answer :

It is 5 1/2
6 0
3 years ago
Read 2 more answers
Help me ASAP it’s a math test
expeople1 [14]

Answer:

I would say the last one, bc b Is negative correct?

4 0
3 years ago
Let f(x)= log x
marshall27 [118]

Answer:

The average rate of change of f(x) from 2-3 is 0.176

Step-by-step explanation:

Rate of change= change in y / change in x

                        = log 3 - log 2 / 3-2

                        = 0.477-0.301 / 1

                        = 0.176

5 0
3 years ago
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