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galben [10]
3 years ago
14

Solving quadratic equation using the completing the square (a).9k²+5k=2​

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

,

Step-by-step explanation:

everything can be found in the picture

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the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s
ad-work [718]

The temperature of soup after 25 minutes is 135.2^{\circ}\ F

<em><u>Solution:</u></em>

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be T_0

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

T = T_0-2.3t

<em><u>To find the temperature of soup after 25 minutes, substitute t = 25</u></em>

T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2

Thus the temperature of soup after 25 minutes is 135.2^{\circ}\ F

5 0
3 years ago
For the following geometric sequence, find the recursive formula.<br> {-80, 20, -5, ...}
skad [1K]
For the<span> geometric sequence, it has two forms of formula

</span>
<span>We are interested in the recursive formula now

</span>
<span> {-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our r</span><span>ecursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )


</span>

I hope that helps!



3 0
3 years ago
What is the circumference of the circle? (use 3.14 for pi)
padilas [110]
2(3.14)(19) = 119.33 m
7 0
3 years ago
Read 2 more answers
Eric created a rectangular patio using 1 foot square paving stones,which are sold in batches by the dozen. The patio measures 7
Nuetrik [128]
I believe it is 56 because 7•8 is 56 and 1•56 is 56
6 0
3 years ago
The line graph shown below is of the amount of money astudent earns at a part time job, per hour. What is the students wage rate
xeze [42]

1) The two lines are <em>perpendicular</em>. (Correct choice: True)

2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)

<h3>How to analyze and interpret linear functions</h3>

Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:

Exercise 1

If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:

m · m' = - 1

[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]

(- 1 / 1) · (1 / 1)

- 1

The two lines are <em>perpendicular</em>. (Correct choice: True)

Exercise 2

In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:

m = ($ 10 - $ 0) / (1 h - 0 h)

m = $ 10 per hour

The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)

To learn more on linear functions: brainly.com/question/21107621

#SPJ1

5 0
1 year ago
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