All categories

3 years ago

What are possible solutions to 2x+y=-12

Mathematics

2 answers:

VLD [36.1K]3 years ago

7 0

Answer:

x =5

y=2

2*5+2=12

2*2+8

2*1+10

Damm [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Convert to the slope-intercept form:

y = mx + b

2x + y = -12 subtract 2x from both sides

y = -2x - 12

1. Take any value of x.

2. Put it to the equation.

3. Calculate the value of y.

Examples:

for x = 0

y = -2(0) - 12 = 0 - 12 = -12

for x = -6

y = -2(-6) - 12 = 12 - 12 = 0

for x = 2

y = -2(2) - 12 = -4 - 12 = -16

...

You might be interested in

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

5 0

3 years ago

Triangle congruence worksheet

lesya [120]

Answer:

Step-by-step explanation:

We know it is not SSS or AAS or ASA

On one triangle we have SAS but we don't see the same congruent markings so we cannot tell.

4 0

3 years ago

A fire department spend $900 to purchase a new helmets and gloves the amount included a 6% sales tax what was the price of the e

Kisachek [45]

Answer:

$954

Step-by-step explanation:

900 x 0.06=

54+ 900=

954

7 0

3 years ago

Read 2 more answers

F(x)=2x+1/x-1 then f^-1(1)

olasank [31]

Answer:

f⁻¹(x) = (x + 1) / (x - 2)
f⁻¹(1 ) = - 2

Step-by-step explanation:

Given function:

f(x) = (2x + 1) / (x - 1)

Find its inverse, substitute x with y and f(x) with x, solve for y:

x = (2y + 1) / (y - 1)
x(y - 1) = 2y + 1
xy - x = 2y + 1
xy - 2y = x + 1
y(x - 2) = x + 1
y = (x + 1) / (x - 2)

Substitute y with f⁻¹(x):

f⁻¹(x) = (x + 1) / (x - 2)

Find f⁻¹(1 ):

f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2

6 0

2 years ago

A figure is located at (0, 0), (−3, −4), and (−3, 0) on a coordinate plane. What kind of 3-D shape would be created if the figur

Kisachek [45]

Answer:

a cone

Step-by-step explanation:

a cone would be formed due to the point on the graph forming a triangle, and when a triangle is spun around an axis on one of its sides it will form a cone

4 0

2 years ago

Read 2 more answers