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Lena [83]
2 years ago
7

Which linear inequality is represented by the graph? y ≥ 1/3x – 4 y ≤ 1/3x – 4 y ≤ 1/3x + 4 y ≥ 1/3x + 4

Mathematics
2 answers:
VikaD [51]2 years ago
7 0
Solid line...means equal sign is present.....shading below the line means less then....u have a y int at (0,-4)...u have a positive slope of 1/3

thats gonna be 2nd answer choice
notka56 [123]2 years ago
5 0

Answer:

y\leq \frac{1}{3}x-4

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line

The slope of the line is positive

The y-intercept of the solid line is equal to -4

therefore

The inequality must be

y\leq \frac{1}{3}x-4

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A plant can either have a smooth seed (p) or a rough seed (q). Rough seeds are recessive and smooth seeds are dominant. In a pop
adell [148]
To calculate this, the Hardy-Weinberg principle can be used:

p² + 2pq + q² = 1 and p + q = 1

where p and q are the frequencies of the alleles (p - dominant, q - recessive), and p², q² and 2pq are the frequencies of the genotypes.

a) Since 32 plants have rough seed (recessive genotype: q²) out of 100 plants in total, then 

q² = 32/100 = 0.32


b) q = √q² = √0.32 = 0.56


c) Since p + q = 1, then

p = 1 - q = 1 - 0.56 = 0.44


d) 19 plants with rough seeds (recessive genotype: q²) in a population of 100 means that q² = 19/100 = 0.19

We need to calculate p (the allele frequency for smooth seeds).
We can find q because we know q²:

q = √q² = √0.19 = 0.44

Since p + q = 1, then

p = 1 - q = 1 - 0.4 = 0.56

3 0
2 years ago
8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girl
Oduvanchick [21]

Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25
Reil [10]

Answer:

Step-by-step explanation:

A = 25% of 16 ==\frac{25}{100}*8=\frac{1}{4}*8=2

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

=\frac{25}{100}*10.5=\frac{10.5}{4}

= 2.625 = $ 2.63

Selling price = 10.5 - 2.63 = $ 7.87

5 0
2 years ago
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If a person invests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years.
ch4aika [34]
Put into the formula:

120(1+.08)^5

Equals:

176.3193692 dollars
3 0
2 years ago
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You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spen
frez [133]
The first thing I would do is write an expression for the amount the limo will cost in terms of the number of miles you drive.  In this scenario, the cost=.15(mile)+700.
Now is the question, should the limo cost more or less than $750 to stay on budget?  The answer is you should spend less than $750.  Thus, when writing the inequality, or .15m+700<750.  However, you could spend exactly $750 so you inequality should really be .15m+700≤750.  Now you just need to solve this for the number of miles you can drive.  

First, subtract 700 from both sides and you are left with .15m≤50
Then divide both sides by .15 and you are left with m ≤ 333.33.  Thus, the limo can only travel 333.33 miles.
please make this the brainliest answer
5 0
2 years ago
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