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3 years ago

What value of x makes the equation -7(4x + 7) = 3 + 4(-4 - 6x) true?

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

Answer:

Step-by-step explanation:

$- 7(4x + 7) = 3 + 4( - 4 - 6x) \\ - 28x - 49 = 3 - 16 - 24x \\ - 28x + 24x = 49 - 13 \\ - 4x = 26 \\ x = \frac{26}{ - 4} \\ x = - 6.5$

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This is an arrangement of data, usually in rows or column's.it is called___?

SashulF [63]

Answer:

Table

Step-by-step explanation:

A table is an arrangement of data in rows and columns, or possibly in a more complex structure.

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3 years ago

Imagine you are about to go sledding down the longest and greatest sledding hill there ever was. When you envision the hill, is

posledela

Answer: it is linear because no bumps.

Step-by-step explanation:

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2 years ago

What is 14,000,0000,000 in word form

kvv77 [185]

Huh? there can't be 4 zeroes. but if u mean 140,000,000,000; then it's 140 billion.
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3 years ago

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is

Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = $\frac{dx}{dt}$

ship B is sailing north at 20 km/h = $\frac{dy}{dt}$

here x and y are the sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

y = 4× 20 = 80 km/h

let z is the distance between the ships, we need to find $\frac{dz}{dt}$ at t = 4 hr

At noon, ship A is 130 km west of ship B (12:00 pm)

so equation will be

$z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we | | get \\$

$z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h$

derivative first equation w . r. to t we get

$2z\frac{dz}{dt} =$ $-2(130-x)\frac{dx}{dt}$ $+2y\frac{dy}{dt}$

$\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]$

$\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }$

$= \frac{1100}{85.44}\\ = 12.87km/h$

8 0

3 years ago

the height y of a ball thrown by a child is given by y = -1/12x^2 + 2x + 4. how high is the ball when it is at its maximum heigh

zhuklara [117]

Answer:

The height of ball when it is at maximum height is 12 unit

Step-by-step explanation:

Given as :

A ball is thrown by child to height y

And y as a function x is y = $-\frac{1}{12}x^{2}+2x+4$

So, for maximum value of height ,

$\frac{\partial y}{\partial x}$ = 0

Or , $\frac{\partial (-\frac{1}{12}x^{2}+2x+4)}{\partial x}$ = 0

Or, $-\frac{1}{12}(2x)+2$ = 0

Or, $\frac{1}{12}(2x)$ = 2

or, x = 12

Hence The height of ball when it is at maximum height is 12 unit Answer

3 0

3 years ago