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3 years ago

3(x+1)=2(x-3) whats the answer

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

The answer is -9

I dont know the step-by-step used a calculator

AnnyKZ [126]3 years ago

7 0

Answer:

x= -9

Step-by-step explanation:

1. distribute

3(+1)=2(−3)

so it would look like this:

3+3=2x-6

2. subtract 3 from both sides

It would look like this:

3x=2x-9

3. subtract 2x from both sides

It would look like this:

x= -9

And that is your answer!!

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Consider the two graphs above.

Mariulka [41]

Answer:

B. Graph 2 represents a proportional relationship, but graph 1 does not.

Step-by-step explanation:

All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.

Examples (all found in Graph 2):

15/3 = 5

10/2 = 5

5/1 = 5

7 0

3 years ago

Read 2 more answers

Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

weeeeeb [17]

Answer: a. The system that models this situation is,

x + y = 6 , 8 x + 5 y = 36.

b. Solution is x = 2lb and y = 4lb

where x is the quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Step-by-step explanation:

Let x quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Then According to the question,

x + y = 6 --------- (1)

And, 80 % of x + 50 % of y = 60 % of 6

⇒ 0.8 x + 0.5 y = 3.6

⇒ 8 x + 5 y = 36 --------- (2)

Where equation 1) and equation 2) are the required equation which models the given situation.

Now, 8 × equation 1)

We get, 8 x + 8 y = 48 ----------(3)

equation (3) - equation (2)

we get, 3 y = 12

⇒ y = 4

By putting the value of y in equation (2)

we get, x = 2

Thus, he mixed 2 lb of mixture 80/20 and 4 lb of mixture 50/50 for making 6 lb of 50/50 mixture.

4 0

3 years ago

Carter and his family are driving from Atlanta to Raleigh. They drive for 2 hours and 45 minutes at an average speed of 60 miles

Blizzard [7]

Driving for 2 hours and 45 minutes at an average speed of 60 miles per hour.
2 hours and 45 minutes = 2 hours and 45 minutes 0r 2.75 hrs _________ 60minutes
D = rt = 60mph *2.75hr = 165mi

3 0

3 years ago

Read 2 more answers

Let the number of chocolate chips in a certain type of cookie have a Poisson distribution. We want the probability that a cookie

ludmilkaskok [199]

Answer:

$\lambda \geq 6.63835$

Step-by-step explanation:

The Poisson Distribution is "a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event".

Let X the random variable that represent the number of chocolate chips in a certain type of cookie. We know that $X \sim Poisson(\lambda)$

The probability mass function for the random variable is given by:

$f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda$

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

$P(X\geq 2)=1-P(X$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-\lambda} \lambda^0}{0!}=e^{-\lambda}$

$P(X=1)=\frac{e^{-\lambda} \lambda^1}{1!}=\lambda e^{-\lambda}$

And replacing we have this:

$P(X\geq 2)=1-[P(X=0)+P(X=1)]=1-[e^{-\lambda} +\lambda e^{-\lambda}[]$

$P(X\geq 2)=1-e^{-\lambda}(1+\lambda)$

And we want this probability that at least of 99%, so we can set upt the following inequality:

$P(X\geq 2)=1-e^{-\lambda}(1+\lambda)\geq 0.99$

And now we can solve for $\lambda$

$0.01 \geq e^{-\lambda}(1+\lambda)$

Applying natural log on both sides we have:

$ln(0.01) \geq ln(e^{-\lambda}+ln(1+\lambda)$

$ln(0.01) \geq -\lambda+ln(1+\lambda)$

$\lambda-ln(1+\lambda)+ln(0.01) \geq 0$

Thats a no linear equation but if we use a numerical method like the Newthon raphson Method or the Jacobi method we find a good point of estimate for the solution.

Using the Newthon Raphson method, we apply this formula:

$x_{n+1}=x_n -\frac{f(x_n)}{f'(x_n)}$

Where :

$f(x_n)=\lambda -ln(1+\lambda)+ln(0.01)$

$f'(x_n)=1-\frac{1}{1+\lambda}$

Iterating as shown on the figure attached we find a final solution given by:

$\lambda \geq 6.63835$

4 0

3 years ago

If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?

blsea [12.9K]

We will have to use proportions:
$\frac{42.9}{253.1} = \frac{6.2}{x}$
Cross multiplying we get
$42.9x = 6.2 \times 253.1$
Now divide:
$x = \frac{6.2 \times 253.1}{42.9}$
Solve to tenths place we get
$x = 36.6$
The woman casts a 36.6 ft long shadow.

3 0

4 years ago