All categories

3 years ago

Graph the three parts of inequality 1 < x + 3 < 9

1 answer:

5 0

First part: 1 is less than the sum of x and 3: 1 < x+3.
Second part: the sum of x and 3 is less than 9.
Obviously 1 < 9.

Taking another look at 1<x+3, we can solve for x: -2<x. Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides. Then x<6.
Draw a dashed vertical line thru x=6.

Shade the area between these two vertical lines to obtain the desired graph.

You might be interested in

If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Colt1911 [192]

Answer:

f(x)=x-6

Step-by-step explanation:

Given : Parent function : $f(x)=x$

To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Solution:

Parent function : $f(x)=x$

Shift the given function down by 6 units.

Rule : The graph f(x) shifts down by b units

So, f(x)→f(x)-b

So, Shift the given function down by 6 units.

So, f(x)→f(x)-6

f(x)=x

So, x→x-6

So, the new function is f(x)=x-6

6 0

3 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

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

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

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

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

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

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

3 years ago

HELP PLEASE!!!!!

FromTheMoon [43]

Answer:

positve and linear realationship

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The statement p → q represents "If a number is doubled, the result is even.” Which represents the inverse?

diamong [38]

The inverse of $p\implies q$ is $\neg p\implies\neg q$ . (This eliminates B and D)

$p\implies q$ translates to "if $p$ , then $q$ ". This means the answer must be A.

4 0

3 years ago

Read 2 more answers

Plss help i’ll give brainliest thank you!

SSSSS [86.1K]

Answer:

Step-by-step explanation:

absolute value of -25 is 25

and 25>24

3 0

3 years ago

Read 2 more answers