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3 years ago

Which system of inequalities represents the graph

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

3 0

Answer:

the first system

Step-by-step explanation:

if you put each equation into slope-intercept form you get:

y ≤ -3/5x + 2

y < x - 5

y < -5x + 6

if you place all three equations into a graphing calculator the result will look identical to the graph

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I'm doing Pre-algebra and I don't know how would I figure out the 13th term of the pattern; 100, 91, 82, 73.... without writing

Over [174]

The way we would answer the question would be to express it as

100-9(n-1) with n being the nth term of the pattern.

Why is this? We know we subtract 9 each time and START from 100.
Remember though that 100 is the first term in the sequence. So, we would have (n-1)*9 to subtract 0 from our 1st term and 9 from our second term.

Also, we have 9*(n-1) because we are just subtracting multiples of 9. It is always going to subtract by 9.

If you needed the answer here it is...

The answer to the problem would be
100-9(13-1)
= 100-9(12)
= 100-108
= -8

5 0

4 years ago

|c- 24| = 7c<br><br> :D :D :D

Ivanshal [37]

$c\geq0\\\\\\ |c- 24| = 7c\\\\c-24=7c \vee c-24=-7c\\\\6c=-24 \vee -8c=-24\\\\c=-4 \vee c=3\\\\-4\not \geq0\\\\\boxed{c=3}$

3 0

3 years ago

Read 2 more answers

A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t

castortr0y [4]

Answer:

$P(3300$

And we can find this probability with this difference:

$P(-0.8$

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".

Solution to the problem

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

$X \sim N(3500,250)$

Where $\mu=3500$ and $\sigma=250$

We are interested on this probability

$P(3300$

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:

$P(3300$

And we can find this probability with this difference:

$P(-0.8$

6 0

4 years ago

Read 2 more answers

How to do a histogram

aleksklad [387]

Answer:histogram is like bar graph only but point is that in bar garph be used to leave some space when we are drawing the bar graph in graph but when we are making the histogram we are not going to leave this place

8 0

4 years ago

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math

Inessa05 [86]

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with $n$ sides is given by:-

$(n-2)\times180^{\circ}$

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. $(n-2)\times180^{\circ}=1920^{\circ}$

$n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67$

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

7 0

3 years ago