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Pani-rosa [81]
4 years ago
7

Given the equation:

Mathematics
1 answer:
Alisiya [41]4 years ago
5 0

Answer:

x = 1 and x = \frac{-4}{5}

Step-by-step explanation:

In this equation, a=5, b=-1, c=-4.

Plug these into the quadratic formula:

x = \frac{1+\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}   and x = \frac{1-\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}

Now, simplify the equations:

x = \frac{1+\sqrt{81} }{10} = \frac{1+9}{10} = \frac{10}{10} = 1

and

x = \frac{1-\sqrt{81} }{10} = \frac{1-9}{10} = \frac{-8}{10} = \frac{-4}{5}

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The population of grizzly bears at Yellowstone National Park has been threatened with local extinction since 1975. Through many
____ [38]

The complete statement is: In the year 2010, there will be approximately 600 grizzly bears at Yellowstone National Park.

<h3>Find the approximate value from the graph.</h3>

The complete question is added as an attachment

From the attached graph, we have the following highlights

  • x represents the number of years since 2009
  • y represents the number of grizzly bears

So, the value of A(1) means that we find the number of grizzly bears in the year 2010

According to the graph, the value of the function where x = 1 is 600

So, we have:

A(1) = 600

<h3>Based on your answer for part A. Complete this sentence.</h3>

The incomplete sentence is given as:

In the year there will be approximately grizzly bears at Yellowstone National Park.

A(1) = 600 represents the number of grizzly bears in the year 2010

So, the complete statement is:

In the year 2010, there will be approximately 600 grizzly bears at Yellowstone National Park.

Read more about functions at:

brainly.com/question/15602982

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8 0
2 years ago
Find the weekly gross wages for a person who works 55 hours a week at $16 hourly with time and a half overtime for any hours ove
sergiy2304 [10]

Answer:

1000$

Step-by-step explanation:

55 = 40 hours + 15 Overtime hours

40×16 = 640$

16$×1.5 = 24$ an HR for overtime ( time and a half = 1.5)

24$ × 15 Overtime hours = 360$

640+360 = 1000$ gross

then come taxes

4 0
3 years ago
8. Jose decides to rent an apartment and split the cost evenly with a roommate. They each paid $775 towards
Oksana_A [137]

Answer:

Step-by-step explanation:

if its 775 for each of them in all and they subtracted 525 from it to then you get 250. So the security deposit costs 250 dollars. I think.

3 0
3 years ago
College student makes decorative Styrofoam Lions and Husky's which she sells each year. Each one uses 8 oz of Styrofoam and take
Travka [436]

Answer:

She should make 122 Styrofoam lions and 268 Styrofoam Husky's

The maximum profit, she makes is  $1109

Step-by-step explanation:

The given information are;

The volume required to make each lion = 8 oz

The time it takes to make each lion = 35 minutes

The amount of profit each lion brings = $2.50

The volume required to make each Husky = 12 oz

The time it takes to make each Husky = 20 minutes

The amount of profit each Husky brings = $3

Let the number of lion Styrofoam cups she makes = x

Let the number of Husky Styrofoam cups she makes = y

Therefore, we have;

x × 35 + y × 20 = 9650..........(1)

x × 8 + y × 12  = 3840.............(2)

Dividing equation (2) by 8 and making x the subject, we get;

x × 8/8 + y × 12/8  = 3840/8

x + 4/3·y = 480

x = 480 - 4/3·y

Substituting the value of x in equation (1) gives;

(480 - 4/3·y) × 35 + y × 20 = 9650

16800 - 80/3·y = 9650

y = 268.125

x = 480 - 4/3·y  = 480 - 4/3×268.125 = 122.5

Therefore, she can make 122 Styrofoam lions and 268 Styrofoam Husky's

The maximum profit, she makes is therefore given by the following equation;

The maximum profit = 122 × 2.5 + 268 × 3 = $1109.

5 0
3 years ago
What is the area of the following figure:
xenn [34]

Answer:

180cm^2

Step-by-step explanation:

split it into 2 different triangles one is 24 x 4 and the other is 24 x 11 then add them together

24 x 4 is 96/2 is 48

24 x 11 is 264/2 is 132

add 48 + 132 to get an answer of 180 cm^2

if anything doesnt seem right just comment and i will try and figure out what has gone wrong

hope this helps :)

4 0
3 years ago
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