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1 year ago

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now, suppose one of the roots of the polynomial function is complex. the roots of the function are 2+i, and 5. write the equatio

n for this polynomial function. expand f(x)=x^3- __ x^2 + __ x- __

2 answers:

ahrayia [7]1 year ago

7 0

Answer:

Box 1: 9

Box 2: 25

Box 3: 25

ankoles [38]1 year ago

4 0

Answer:correct

Step-by-step explanation:

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

So

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

So

$q = -6p + 104$

7 0

2 years ago

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

vladimir1956 [14]

Solving this problem actually requires us the use of the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

So we are given the equation:

y = 2 x + 4

rewriting:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

We are also given the points:

(-4, 11) = (x, y)

Using the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance = 6.7

<span>So the tree is about 6.7 ft away from the zip line.</span>

3 0

1 year ago

Question:twice as much as the sum of eighteen and eleven<br><br> in numbers and don't solve

Dmitrij [34]

2(18+11)
i think this is the expression you are looking for

3 0

2 years ago

Read 2 more answers

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

Ann [662]

Let
x--------> <span>the number of sandwich lunch specials sold
y-------> </span><span>the number of wrap lunch specials sold

we know that
2x+3y=1470

Part 1) </span><span>Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

we know that
</span>the equation to slope-intercept form is of the form
y=mx+b
so
2x+3y=1470------> solve for y
3y=1470-2x-----> divide by 3 both sides
y=(-2/3)x+1470/3
y=(-2/3)x+490

the slope m=-2/3
the y-intercept is 490

Part 2) <span>Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

</span><span>the slope is -2/3 and the y-intercept is 490

Plot the point (0,490)------> the y-intercept.
With the slope count 3 squares to the right and 2 squares down and plot that point, which is (0+3,490-2)--------> (3,488)
Draw a line through the two points

Part 3) </span><span>Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

In function notation, the equation is:
f(x)=(-2/3)x+490
The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.</span><span>

Part 4) </span>Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology

using a graph tool
see the attached figure

Part 5) Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different

we have that
2x+3y=1593
3y=1593-2x--------> y=(-2/3)x+531
slope=(-2/3)
y intercept=531
therefore
similarities : same slope
differences : y intercepts are different.
<span>This is basically telling me that the lines are parallel lines because they have the same slope.
</span>
6) Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations

Select two points on the line and write down their coordinates

Let
A( 0,300) B (450,0)
a) find the slope
m=(y2-y1)/(x2-x1)----> m=(0-300)/(450-0)----> m=-2/3
b) with the slope m=(-2/3) and the point A (0,300)
y-y1=m*(x-x1)-----> y-300=(-2/3)*(x-0)----> y=(-2/3)x+300

the answer Part 6) is
y=(-2/3)x+300

7 0

2 years ago

Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and e

guapka [62]

Answer: Daniel bought 3 apples and 7 bananas.

Step-by-step explanation:

Let x represent the number of apples that Daniel bought.

Let y represent the number of bananas that Daniel bought.

He bought a total of 10 apples and bananas altogether. This means that

x + y = 10

Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that

1.75x + 0.7y = 10.15 - - - - - - - - - - - 1

Substituting x = 10 - y into equation 1, it becomes

1.75(10 - y) + 0.7y = 10.15

17.5 - 1.75y + 0.7y = 10.15

- 1.75y + 0.7y = 10.15 - 17.5

- 1.05y = - 7.35

y = - 7.35/- 1.05

y = 7

x = 10 - y = 10 - 7

x = 3

4 0

2 years ago