All categories

3 years ago

What is the answer to 3 + 2x = -6x + 4

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

Answer:

if you are looking to solve for x the answer is

$\frac{1}{8}$

Step-by-step explanation:

first you need to gather all the variables (x) to one side of the equation so take right hand side:

2x + 6x = 4 - 3

remember to watch out for the sign changes. then:

$8x = 1$

therefore

$x = \frac{1}{8}$

You might be interested in

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

2 years ago

How to find y intercept without a graph HELP

Leno4ka [110]

Answer:

You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.

To do this, substitute in 0 were x is in the equation and you will find the y intercept

3 0

3 years ago

How am i Invisible???????????????/

deff fn [24]

Answer:

being blind

Step-by-step explanation:

if you are blind you can not see your self so there for you are invisable

3 0

2 years ago

Read 2 more answers

A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th

STatiana [176]

Answer:

The equation for the curve is:

$f(x) = 7*e^{2*x}$

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

$f(x) = A*e^{k*x}$

Replacing that in the second equation, we get:

$k*A*e^{k*x} = 2*A*e^{k*x}$

From that equation, we can conclude that k = 2

Then:

$f(x) = A*e^{2*x}$

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

$f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A$

Then we can conclude that the equation for the curve is:

$f(x) = 7*e^{2*x}$

6 0

2 years ago

Need help on 13 , 14 and 15 please

Andru [333]

6$ for 13 but I can’t see instructions

7 0

3 years ago