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3 years ago

A third degree polynomial equation with rational coefficients that has roots -4 and 2+i

1 answer:

8 0

If one of the roots is 2+i, another must be 2-i. We can express this polynomial as (x+4)(x-2-i)(x-2+i). This expands to $x^3-11x+20$ .

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A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits,

elena-s [515]

9514 1404 393

Answer:

2.05 hours

Step-by-step explanation:

Using the given equation with the given time, we have ...

55x +35(2.5) = 200

55x = 112.5 . . . . . . . . subtract 87.5

x = 2.05 . . . . . . . . . . divide by 55

The car spends 2.05 hours at 55 mph.

6 0

3 years ago

2<br> 8<br> 15<br> 8. An interior designer charges customers<br> an initial consultation fee plus an hourly rate.<br> The table

Wewaii [24]

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the total cost of hiring for x hours. Hence:

Using the points (0, 125) and (15, 950)

$Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{950-125}{15-0} =55$

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

Find out more on linear equation at: brainly.com/question/14323743

7 0

2 years ago

PLEASE HELP WILL GIVE BRAINLIEST PRECALC

nexus9112 [7]

Answer:

$270^o$ and $450^o$

Step-by-step explanation:

Recall that $\frac{\sqrt{2} }{2}$ is a value of the function cosine for the special angles: $135^o$ and $225^o$ , then:

$\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\$

4 0

3 years ago

The table below shows the price for different numbers of notebook:

levacccp [35]

So if 2 notebooks cost 12 divide that
12/2 =6 $ each
So to check if its true the 3notebooksx $6 dollars each should =$18 for 3 notebooks
5 notebooks at $6 each = $30 for 5 notebooks
so What is 4notebooks x$6 each ? =4x6 = $24 for 4 notebooks

8 0

3 years ago

Please help me solve this problem

olga2289 [7]

1,025. Multiply 55 by 15, then add the $200 fee. I hope this helps :)

7 0

3 years ago