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Katarina [22]
3 years ago
13

Select the correct answer. Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form q(x)+r(x)/b(x).

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

1 step: Divide the polynomial x^3+10x^2+13x+39 by the polynomial x^2+2x+1 with remainder:

x^3+10x^2+13x+39=(x^2+2x+1)(x+8)+(-4x+31).

Here x+8 is quotient and -4x+31 is remainder.

2 step: Substitute previous result into the fraction:

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}=\dfrac{(x^2+2x+1)(x+8)+(-4x+31)}{x^2+2x+1}=\\ \\=\dfrac{(x^2+2x+1)(x+8)}{x^2+2x+1}+\dfrac{-4x+31}{x^2+2x+1}=(x+8)+\dfrac{-4x+31}{x^2+2x+1}.

Answer: correct choice is A.

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The function shown in the graph is
pshichka [43]

Answer:

Linear function

y = 2x - 1

Step-by-step explanation:

This is a linear function because the line is straight, having no curved.

The equation for a linear graph is y=mx + b.

x and y represent points on he graph.

"m" represents the slope of the graph. Reading from left to right, if a positive slope, then the graph continues upward. If negative, then it's a graph down downwards.

"b" represents the y-intercept, when the graph hits the y-axis. It's also the initial value.

In the photo, we can see the y-intercept is (0, -1).

Slope is calculated by rise over run. Choose two random points on the graph. Count the "rise", or how many vertical units are between the points. If the point on the right is lower than the point on the left, the rise is negative. Count the "run", which is the number of horizontal units between the points.

For the point (0, -1) and (3, 5).

m = rise/run

m = 6/3

m = 2

Substitute m=2 and b= -1 into the equation of a line.

y = 2x - 1

6 0
3 years ago
A small ferryboat transports vehicles from one island to another, and the order the vehicles arrive will lead to slightly differ
katen-ka-za [31]

Answer:

{PP, PR, RP, RR}

Step-by-step explanation:

Given that:

Passenger vehicle = P

Recreational vehicle = R

For each of the next two vehicles :

Sample space :

_____ P ______ R

P ___ PP _____ PR

R ___ RP _____ RR

{PP, PR, RP, RR}

B.) Tree diagram can be found in attached picture

5 0
3 years ago
How much money does he have
Andrej [43]
C $1.00

because 1/3 of 15 coins are 5 dimes

15 - 5 = 10 nickels

10 + 5 = 15 coins. 

5 dimes= .50 cents

10 nickels= . 50 cents

.50 + .50 = $1.00

$1.00 is C.

*Hope this helped :)
7 0
3 years ago
Read 2 more answers
P² +6r - 27<br> factoring quadratics
babunello [35]

Step-by-step explanation:

look at the picture shown

5 0
3 years ago
Can someone please help me with 2 and explain the steps to 3 thanks!
Gelneren [198K]

Answer:

#2 is a ratio so you gotta add.

#3 it’s just adding it for example 2p + 5a = 7pa

7 0
3 years ago
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