29.05.2023

Find the value of p and of q for which x-3 is a common factor of the expressions and WILL GIVE BRAINLIEST PLS ANSWER

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Step-by-step answer

09.07.2023, solved by verified expert
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Step-by-step explanation:

Use the Factor Theorem,

" if x-a is a factor of f(x), then f(a) =0,

So here, since x-3 is a factor then f(3)=0,

So first step, plug in 3 for x for the serperate equations.

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Simplify both equations,

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Isolate the constants,

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

We have a system of equations so let eliminate a variable, by subtracting the two equations.

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Plug p back in for any one of the equations to find q.

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

Find the value of p and of q for which x-3 is, №18011281, 29.05.2023 18:16

So p is -6

q is 4.5

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Mathematics
Step-by-step answer
P Answered by Specialist

Step-by-step explanation:

Use the Factor Theorem,

" if x-a is a factor of f(x), then f(a) =0,

So here, since x-3 is a factor then f(3)=0,

So first step, plug in 3 for x for the serperate equations.

{3}^{2}  + ( p + q)3 - q = 0

2(3) {}^{2}  + (p - 1)3 + (p + 2q) = 0

Simplify both equations,

9 + 3p + 2q = 0

15 +  4 p + 2q = 0

Isolate the constants,

3p + 2q =  - 9

4p + 2q =  - 15

We have a system of equations so let eliminate a variable, by subtracting the two equations.

- p =  6

p =  - 6

Plug p back in for any one of the equations to find q.

3( - 6) + 2q =  - 9

- 18 + 2q =  - 9

2q = 4.5

So p is -6

q is 4.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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