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3 years ago

What is the answer for 8x+3=4x?

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

x = -3/4

Step-by-step explanation:

Step 1: Identify the equation

8x + 3 = 4x

Step 2: Move x's to one side and number to the other side

8x + 3 - 4x - 3 = 4x - 4x - 3

4x = -3

Step 3: Make x by itself

4x / 4 = -3 / 4

x = -3/4

Answer: x = -3/4

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What is the definition of the union of two mathematical sats ,A and B

Zepler [3.9K]

Set contain all the elements present in both the sets.

Step-by-step explanation:

Definition:

The union of two mathematical sets can be defined as the set that consists of all the elements present in both the sets without the repetition of elements.

Consider, A and B be the sets.

A = {1,7,5,6,0}

B = {2,3,4,5,6}

U is the symbol of union of sets, so A U B = {1,2,3,4,5,6,7,0}

Here 5 and 6 are the elements present in both the sets, so written only once in the set of A U B.

5 0

3 years ago

Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides
$2x+2y \space\ \frac{dy}{dx}=0$
solve for $\frac{dy}{dx}$
minus 2x both sides
$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
$\frac{dy}{dx}=\frac{-2x}{2y}$
$\frac{dy}{dx}=\frac{-x}{y}$

when is the slope equal to $\frac{5}{12}$
solve for $\frac{dy}{dx}=\frac{5}{12}$
$\frac{dy}{dx}=\frac{5}{12}$
$\frac{5}{12}=\frac{-x}{y}$
$5y=-12x$
$y=\frac{-12}{5}x$
find where the circle and this line intersects

substitute $\frac{-12}{5}x$ for y
$x^2+(\frac{-12}{5}x)^2=676$
$x^2+\frac{144}{25}x^2=676$
$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
$\frac{169}{25}x^2=676$
times both sides by $\frac{25}{169}$
$x^2=100$
sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
$y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}$
$y=-24 \space\ or \space\ 24$

the points are (10,-24) and (-10,24)

8 0

3 years ago

exercise alone. Two methods of collecting data have been proposed. Method I: Recruit volunteers who are willing to participate.

aniked [119]

Answer:

I) If method I is used, population of generalization will include all those people who may have varying exercising habits or routines. They may or may not have a regular excersing habit. In his case sample is taken from a more diverse population

II) Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

5 0

3 years ago

How much will a person pay for 8.2 pounds of bananas at a price of $2.46 per pound?

kati45 [8]

Answer:

$19.99

Step-by-step explanation:

1 lb = 16 oz

8.2 lb = (16 x 8) +2= 130

$\frac{16}{2.46} =\frac{1}{x}$ ---> x = $0.154 per oz