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3 years ago

Simplify the expression below 5x(2x - 5)

Mathematics

1 answer:

GenaCL600 [577]3 years ago

7 0

First you do (2x-5) witch is -3x
Then you 5x times -3x and it will be 12x

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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

The formula for finding the volume of a cone is V = 13πr2h. The volume of a cone is 300 cm3 and the height of the cone is 10 cm.

Kryger [21]

I think it would be B) 5cm

4 0

3 years ago

Prove that if b is a square matrix then b+b^t is symmetric

WARRIOR [948]

A matrix $\mathbf X$ is symmetric if $\mathbf X=\mathbf X^\top$ . We have

$(\mathbf B+\mathbf B^\top)^\top=\mathbf B^\top+(\mathbf B^\top)^\top=\mathbf B^\top+\mathbf B=\mathbf B+\mathbf B^\top$

and so $\mathbf B+\mathbf B^\top$ is indeed symmetric.

6 0

4 years ago

The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.

never [62]

Answer:

q = 26

Step-by-step explanation:

Given the point (3, q ) lies on the line then the coordinates satisfy the equation.

Substitute x = 3, y = q into the equation

q = 8(3) + 2 = 24 + 2 = 26

8 0

3 years ago