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3 years ago

Use algebra to solve 3x + 4 = 1/x . The exact solutions are x =

Mathematics

1 answer:

Svetach [21]3 years ago

4 0

Answer:

3x^2+4x=1

x(3x+4)=1

So, there is two x answers

1)x=1

2)3x+4=1 => x= -1

Step-by-step explanation: First ^ the equation... I think i helped you. If i helped you please check my answer brainlest

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5x + 4m = 43my + 6 solve for m

pav-90 [236]

9514 1404 393

Answer:

m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

5x +4m -(4m +6) = 43my +6 -(4m +6)

5x -6 = 43my -4m

5x -6 = m(43y -4) . . . . factor out m

(5x -6)/(43y -4) = m . . . . divide by the coefficient of m

7 0

2 years ago

A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit

Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

62% of the voters are Democrats

This means that $p = 0.62$

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844$

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0

3 years ago

Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer

valentina_108 [34]

Answer:

The Integer is -17

Step-by-step explanation:

This is because you must subtract the cost of the shoes from her account

28 - 45 is equal to negative 17

4 0

3 years ago

The dimensions of a cube are doubled. The volume of the enlarged cube is how many times the volume of the original cube?

Elza [17]

The volume is multiplied by 8. For example if you have a 1x1x1 cube the volume is 1. If you have a 2x2x2 cube the volume is 8. If you have a 4x4x4 the volume is 64.

5 0

3 years ago

Read 2 more answers

Tori took out A $350,000 loan in order to purchase a house. She has to pay an interest of 5.2% over 35 years. how much interest

Dmitrij [34]

Hello from MrBillDoesMath!

Answer:

Interest paid = $ 1,713,568.73

Monthly p[payment = $4913.25

Discussion:

From the "compound interest formula:

A = final amount

P = Initial amount (Principal)

r = yearly interest rate

n = number of years of accumulation.

In our case,

A = 350000( 1 + .052)^35 =

350000 (5.90) = (approx)

$2,063,568.73

Interest = $2,063,568.73 - 350000 = $ 1,713,568.73

There are 35 *12 = 420 months in 35 years. So the monthly payment would be ($2,063,568.73 / 420) = $4913.25

Thank you,

MrB

5 0

3 years ago