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sertanlavr [38]
3 years ago
11

X+4y<4 linear inequalities

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

See Explanation

Step-by-step explanation:

Given

x + 4y < 4

The question is incomplete, as what is to be done is not stated.

However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.

To calculate slope, we have:

x + 4y < 4

Solve for 4y

4y < - x + 4

Solve for y

y < -\frac{x}{4} + \frac{4}{4}

y < -\frac{1}{4}x + 1

A linear inequality is represented as:

y

Where m =slope and b = y\ intercept

So:

By comparison:

mx = -\frac{1}{4}x

m = -\frac{1}{4}

and

b = 1

So:

Slope = -\frac{1}{4}

y\ intercept = 1

<em>Also, see attachment for graph</em>

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The number of Atlantic blue fin tuna in thousands can be modeled by P(x)=230(.881)^x where X represents the number of years sinc
Maurinko [17]
<h3>Answer: 1981</h3>

===================================

Work Shown:

Recall that P is in thousands, so P = 95 means 95,000.

Plug in P(x) = 95. Solve for x. Use logarithms to get this done.

P(x)=230(0.881)^x

95=230(0.881)^x

95/230 = (0.881)^x

0.41304347826087 = (0.881)^x

(0.881)^x = 0.41304347826087

Log( (0.881)^x )= Log( 0.41304347826087 )

x*Log( 0.881 )= Log( 0.41304347826087 )

x= Log( 0.41304347826087 )/Log( 0.881 )

x= 6.97883817154785

x= 7

Approximately 7 years after 1974 is when the population will be around 95,000.

7 years after 1974 = 1974+7 = 1981

8 0
3 years ago
Please help with this, tysm ​
Sauron [17]
You just find out what the missing variable is by subtracting 88 from 107 on the first one. You do the same for the last too as-well, but just insert the numbers that they say.

Happy Friday!!
3 0
3 years ago
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You know that 4 pizzas will feed 16 people how many pizzas do you need to feed 88 people?
Furkat [3]
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6 0
3 years ago
Simplify the expression <br><br> 6(-5n + 7)
Hunter-Best [27]

6(-5n+7)=0


We simplify the equation to the form, which is simple to understand

6(-5n+7)=0


Reorder the terms in parentheses

+(-30n+42)=0


Remove unnecessary parentheses

-30n+42=0


We move all terms containing n to the left and all other terms to the right.

-30n=0-42


We simplify left and right side of the equation.

-30n=-42


We divide both sides of the equation by -30 to get n.

n=1.4

Hope this helps!

7 0
3 years ago
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Jalen made $533.75 while working at his job. He makes $15.25 an hour, how many hours did he work to make that amount of money?
mixer [17]

Answer:

35 hours

Step-by-step explanation:

Typically, people get their paycheck after 2 weeks.

Let say he worked 8 hours a day, a typical amount of hours for the average human who has a occupation.

Multiply the amount of hours by the amount payed every hour.

So 15.25 x 8 is 122

( so in 8 hours jalen made $122)

Add 8 hours, which would now be 16 hours worked.

16 x 15.25 = 244

(so in 16 hours jalen made $244)

Add another 8 hours of work time which would now be 24 hours (1 full day)

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Add 10 hours on now which would be 34 hours worked (2 days = 48 hours meaning she worked 1 day and 10 hours )

34x15.25=518.50

(getting closer to the amount she earned)

So if we add another hour

which would be 35 hours worked (1 day 11 hours)

35 x 15.25 = 533.75

Therefore, Jalen worked 35 hours.

5 0
3 years ago
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