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3 years ago

Simplify and factor the following expression 3(2x+4)+2(3x-4)

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

8 0

Answer:

12x+4

Step-by-step explanation:

irina1246 [14]3 years ago

6 0

3 (2x + 4) + 2 (3x - 4)

6x + 12 + 6x - 8

6x + 6x + 12 - 8

12x + 4

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Find the range of f(x)=x+3 <br> when the domain (2,4,6)

jarptica [38.1K]

<u>f(x) = x + 3</u>
f(2) = 2 + 3
f(2) = 5

f(4) = 4 + 5
f(4) = 9

f(6) = 6 + 5
f(6) = 11

{(2, 5), (4, 9), (6, 11)}

5 0

2 years ago

ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE ANSWER QUICK!!

Finger [1]

Answer:

-5,3

Step-by-step explanation:

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2 years ago

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Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta

frutty [35]

Answer:

$x^2+(y-1)^2=1$

Step-by-step explanation:

The given cylindrical equation is

$r=2\sin \theta$

Multiply both sides by r.

$r^2=2r\sin \theta$ .... (1)

The required formulas are

$x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2$

Substitute $r\sin \theta =y,r^2=x^2+y^2$ in equation (1).

$x^2+y^2=2y$

$x^2+y^2-2y=0$

Add 1 on both sides.

$x^2+(y^2-2y+1)=1$

$(x-0)^2+(y-1)^2=1^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is $x^2+(y-1)^2=1$ .

3 0

3 years ago

You are dealt two cards successfuly without replacement from a shuffled deck of 52 playing card. Find the probability that first

katen-ka-za [31]

The simplified expression is $(\frac{4}{663})$

Step-by-step explanation:

Here, the total number of cards in a given deck = 52

let E : Event of drawing a first card which is King

Total number of kings in the given deck = 4

So, $P(E) = \frac{\textrm{The total number of king}}{\textrm{The total number of cards}}$ = $\frac{4}{52} = (\frac{1}{13} )$

Now, as the picked card is NOT REPLACED,

So, now the total number of cards = 52 - 1 = 51

Total number of queen in the deck is same as before = 13

let K : Event of drawing a second card which is queen

So, $P(K) = \frac{\textrm{The total number of queen}}{\textrm{The total number of cards}}$ = $(\frac{4}{51} )$

Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = $(\frac{1}{13}) \times(\frac{4}{51}) = (\frac{4}{663} )$

Hence, the simplified expression is $(\frac{4}{663})$

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2 years ago

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b

aalyn [17]

D) there is not enough information

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2 years ago