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Paul [167]
3 years ago
14

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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It's 10 3/5 miles from Alsten to Barton and 12 1/2 miles from Barton to Chester. The distance from Alsten to Durbin,via Barton a
Ymorist [56]
10 3/5=10.6

10.6+12.5=23.1
35.0-23.1=11.9

It is 11.9 miles from Chester to Durbin.
4 0
3 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
2 years ago
Solve.
Reil [10]
PerSolve.

After filling a gas tank the odometer read
39 comma 007.239,007.2.
After the next filling it read
39 comma 469.239,469.2.
It took
16.516.5
gal to fill the tank. How many miles per gallon did the driver​ get?
4 0
3 years ago
After having been on the air for more than a decade, Fox's American Idol seemed to be suffering from viewer fatigue. The average
ElenaW [278]

Answer:

a) In the first season, there were 25.450 million viewers.

b) In the fourth season, the number of viewers was 11.950 million.

Step-by-step explanation:

Hi there!

The average number of viewers in season t is given by the following function:

f(t) = 32.744 e^{-0.252t}

a) To obtain the average number of viewers in season 1, we have to evaluate the function at t = 1:

f(1) = 32.744e^{-0.252 (1)} = 25.450

In the first season, there were 25.450 million viewers.

b) Now we have to evaluate the function at t = 4:

f(4) = 32.744e^{-0.252(4)} = 11.950

In the fourth season, the number of viewers was 11.950 million.

3 0
3 years ago
What is the solution?? pls help<br><br> m/8&lt;4
natita [175]

Answer:

m < -32

hope this helps!

4 0
2 years ago
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