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andriy [413]
3 years ago
15

Write the linear inequality shown in the graph.The gray area represents the shaded region.

Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0

Answer:

y\geq 3x-4

Step-by-step explanation:

First we find the equation for the graph line y=mx+b

where m is the slope and b is the y intercept

LEts pick two points from the line

(0,-4) and (2,2)

y intercept is -4 , the value of b= -4

to find slope m we use formula

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-4-2}{0-2} =3

m=3 and b= -4

EQuation of a line is y=3x-4

Now we write the inequality, we use test point 0,0 that is in shaded region

LEts plug in 0 for x  and 0 for y

y=3x-4

0=0-4

0=-4

0>=-4 is true

So we use >= symbol

y\geq 3x-4

Lunna [17]3 years ago
5 0
Answer is D
for these you need to look at first what is your y-intercept from this graph it is -4 so that cancels out a and c.
Now you look if the gray area is above or below the line in this case it is above the line so y needs to be greater than the line to be a true statement.

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zubka84 [21]
Scientific notation:
5.0209003 x 10^4
7 0
3 years ago
Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa
inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}

For X=12.04 days:

z=\frac{12.04 - 18.8}{2} \\z=-3.38

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

z=\frac{18.38 - 18.8}{2} \\z=-0.21

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

The probability that a butterfly lives between 12.04 and 18.38 days is

P=41.68-0.036\\P=41.64\%\ or\ 0.4164

6 0
3 years ago
What is the greatest common factor of theses variables
DerKrebs [107]
B is the answer!

Explanation:
m^2 n^2 fits into both, you can take m^2 n^2 out of it both.

m is a common factor since you can take m out of both but it’s not the greatest common factor.

2n & 2m wouldn’t even be a common factor bc there is no 2n or 2m in neither.
8 0
3 years ago
What is the rule? 100 cm 1 m, 250 cm ? M, 1500 cm ? M
kirza4 [7]
There are 100 cm(centimeters) in a m(meter).
So, to solve this, we divide 250 by 100. this gives us 2.5meters.
1500÷100=15meters
The rule is m=cm÷100.

4 0
3 years ago
Nine hundred and fifty seven divided by one hundred
Kryger [21]

Answer:

9.57

Step-by-step explanation:

900 / 100 is 9 but then you just have to add the 57 with a decimal at the end

5 0
2 years ago
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