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3 years ago

Rewrite in the form . Then find q(x) and r(x).

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

q(x)= 2x+5

r(x)=6

b(x)=x+4

Step-by-step explanation:

I have found what is missing in your question: Rewrite 2x^2+13x+26/x+4 in the form q(x)+r(x)/b(x).

First, we have to divide the polynomial by x+4 and remember that is x times 2x.

By multiplying this we are going to get $2x^{2} + 8x$ and now we are doing separation of it and getting $2x^{2} + 13x + 26$ and getting $2x^{2} + 13x + 26/ x + 4 = 2x^{2} +8x/x+4=5x+26/x+4=2x + 5x+26/x+4$

Because 5 is showing x times 5 we are going to multiply (x + 4) with 5 and that is 5x + 20.

$5x+26/x+4 = 5x + 20/x+4 = 6/ x+4=5 + 6/x+4$

Now when we can get more simplified we are having:

$2x^{2} +13+26/x+4=2x + 5= 6/x+4$

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What are the next 4 terms to this sequence<br><br>2, 6, -4, 10, -14,

Kay [80]

Answer:

24, -38, 62, -100

Step-by-step explanation:

The recursive formula is a_n = a_(n-2) - a_(n-1)

so. we try this 4 times after the -14 term

a_3 = -4 = 2 - 6 = a_1 - a_2

...

a_6 = a_4 - a_5 = 10 - (-14) = 24

a_7 = a_5 - a_6 = -14 - (24) = -38

a_8 = a_6 - a_7 = 24 - (-38) = 62

a_9 = a_7 - a_8 = -38 - 62 = -100

a_10 = a_8 - a_9 = 62 - (-100) = 162

6 0

3 years ago

Solve for x in the given interval.

Nat2105 [25]

Answer:

7pi/2

Step-by-step explanation:

Given the expression cosec x = -1

I'm trigonometry csecx = 1/sinx

The equation becomes

1/sin(x) = -1

Sinx = -1

x = arcsin(-1)

x = -90°

x is negative in the third and 4th interval

Third interval;

x = 180+90

x = 270°

x = 3pi/2

Since the angle should be within 3pi < x < 4pi

Add 2pi to the angle

x = 2pi+ 3pi/2

x = 7pi/2

Hence the required angle is 7pi/2

8 0

3 years ago

The graph of f(x) and g(x) are shown below Which of the following is the graph of (g-f)(x)

anyanavicka [17]

Answer: (g-f)(x)=-4x

Explanation: According to the graph, line created by function f(x) passes through the points (1,-3) and (0,0) and similarly, line created by the function passes through the points (1,1) and (0,0).

Thus, we can find the equation of the lines with help of formula $y-y_1=\frac{y_2-y_1}{x_2-x_1}$ × $(x-x_1)$

so, equation of line created by function f(x)

y+3= $\frac{3-0}{0-1}$ ×(x-1)

y+3= $\frac{3}{-1}$ ×(x-1)

y+3=-3x+3

y=-3x thus function f(x)=-3x

similarly, equation of line created by function g(x)

y=x thus function g(x)=x

Now, we have to find out, (g-f) (x)= g(x)-f(x)= -3x-x= -4x

5 0

3 years ago

Read 2 more answers

Anna,Vickie, and Luanna are sisters. Anna is 3 years older thank Vickie, and Luanna is 2 years younger than Vickie. Use v for Vi

Dafna11 [192]

Anna= a
Vickie= v
Luanna= l

a is 3 years older that v
l is 2 years younger than v

Anna's age; 3+v
Luanna's age; v-2

3 0

3 years ago

A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 m

nekit [7.7K]

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

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3 years ago