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Ierofanga [76]
3 years ago
10

Which values for A and B will create infinitely many solutions for this system of equations? Ax-y=8 2x+y=B plss hurry im being t

imed
1 A=2 B=8
2 A=-2 B=8
3 A=2 B=-8
4 A=-2 B=-8
Mathematics
2 answers:
Lynna [10]3 years ago
5 0

Answer:

A=-2

B=-8

Step-by-step explanation:

In order for the system of linear equations to have infinitely many solution, they must be the same equation.

Ax-y=8

2x+y=B

We need to choose A and B so they are the same equation.

I notice they are both in the same form but in the second column you have opposites;

the -y and y.

So im going to multiply either equation by -1 so that part is exactly the same.

Don't choose both; choose only one.

Let's multiply the first equation by -1.

Doing this gives us the following:

-Ax+y=-8

2x+y=B

So now we can choose A and B so these equations appear exactly the same.

We need -A=2 and B=-8.

-A=2 implies A=(opposite of 2) which is -2.

Conclusion:

A=-2

B=-8

Tcecarenko [31]3 years ago
4 0

Answer:

A = -2 and B = -8.

Step-by-step explanation:

Two lines a_1x+b_1y+c_1=0\text{ and }a_2x+b_2y+c_2=0 have infinite many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

Ax-y=8

2x-y=B

These equations have infinite many solutions if

\dfrac{A}{2}=\dfrac{-1}{1}=\dfrac{8}{B}

\dfrac{A}{2}=-1=\dfrac{8}{B}

\dfrac{A}{2}=-1 or -1=\dfrac{8}{B}

A=-2 or -B=8\Rightarrow B=-8

Hence, the value of A is -2 and the value of B is -8.

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2 years ago
Determine if x - 2 is a factor of p(x) = x4 - 3x2 + 2x - 8, and explain why.
Natali [406]

<u>Answer:</u>

If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x)  = 0

<u>Solution:</u>

According to factor theorem of polynomials,  

x-a is a factor of polynomial p(x), if and only p(a)=0

<u>Step 1:</u>

Since x-2 is factor of p(x),

x - 2 = 0

x = 2

<u>Step 2:</u>

p(x) = x^{4} - 3 x^{2} + 2 x - 8 ------ (equation 1)

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Since x - 2 is a factor of p(x)  , we get p(x)=0

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Your answer would be 12 hours. 0.2 of an hour would be 12 minutes. It’s takes 12 minutes per inch she makes. She wants it to be 60 inches. That would be 60x12 which would be 720. It would take 720 minutes but you need to make this hours so you would divide 720/60 because there are 60 min in an hour. Your answer would be 12 hours
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