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3 years ago

Algebraic equations

Mathematics

2 answers:

anzhelika [568]3 years ago

7 0

1) 2x + 9 = 2x -5

9 ≠ -5 ; No solution

2) 2x- 1 = x + 3

x = 4; One solution x = 4

3) x + 2 = x + 2

0 = 0; Identity (or all real numbers)

natali 33 [55]3 years ago

7 0

Answer:

1) No solution

2) One solution x = 4

3) All real numbers

Hope this helps :)

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

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3 years ago

Plz help answer fast

spayn [35]

Answer:

d because it does not looks somlar

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2 years ago

Read 2 more answers

Solve for n 20 > -4x - 8

LekaFEV [45]

The answer is X>-7 for your question

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3 years ago

A single card is drawn from a standard 52-card deck. find the conditional probability that the card is a club, given that it is

Ghella [55]

The probability of getting a Club given that the card is a Ten is 0.25.

According to the statement

we have given that the there is a deck of the 52 cards and we have to find the conditional probability that the card is a club and the given card is a 10 number card.

So, For this purpose we know that the

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

And according to this,

The probability P is

P(Club) = 13/52 = 1/4

P(Ten) = 4/52 = 1/13

P(Club and Ten) = (1/4)(1/13) = 1/52

And we know that the

P(Club|Ten) = P(Club and Ten)/P(Ten)

And then substitute the values and it become

= (1/52)/(1/13) = (1/52)(13/1)

= 13/52 = 1/4

= 0.25

So, The probability of getting a Club given that the card is a Ten is 0.25.

Learn more about probability here

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1 year ago

The data below shows how old each of Brad's eight kids were when they started kindergarten.

svp [43]

Answer:

i think its 4

Step-by-step explanation:

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3 years ago