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2 years ago

What is the completely factored form of 12xy-9x-8y+6

Mathematics

2 answers:

boyakko [2]2 years ago

5 0

Answer: (4y - 3)(3x - 2)

Step-by-step explanation: Factor the polynomial.

Hope this helps! :) ~Zane

Alla [95]2 years ago

5 0

For this case we must factor the following expression:

$12xy-9x-8y + 6$

So:

We group the first two and two last terms:

$(12xy-9x) + (- 8y + 6) =$

we factor the maximum common denominator of each group:

$3x (4y-3) -2 (4y-3) =$

We factor the polynomial by factoring the highest common denominator:

$(3x-2) (4y-3)$

ANswer:

$(3x-2) (4y-3)$

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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

2 years ago

Can u help me find the Answer

den301095 [7]

-20x-16

= -4(5x + 4)

I think 4 ×-5 = -20x

4×-4 = -16x

7 0

2 years ago

Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has

UkoKoshka [18]

Answer:

12 packages.

Step-by-step explanation:

Peaceful travel agency offers vacation packages.

Each vacation package include a city, a month and an airline.

The agency has 2 cities, 3 months and 2 airlines to choose from.

Agency can offer the number of different packages = 2 × 3 × 2

5 0

2 years ago

At a water park, 27 out of 90 tickets sold were child tickets. what percentage of the tickets were child tickets?

Alik [6]

You do 27 divided by 90 27/90=0.3 and then move the decimal two places which would give you 30%

3 0

2 years ago

How many times does the graph of the function below interect or touch the x-axis? y=-2x^2+3x+5

Andrei [34K]

Answer:

Two times at (-1,0) and (2.5,0)

Step-by-step explanation:

When the graph intersects or touches x-axis, y is equal to 0

so y = -2x^2 + 3x + 5

=> 0 = -2x^2 + 3x + 5

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

so a = -2

b = 3

c = 5

substitute in the formula

x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)

x = [-3 +/- √(9 + 40)]/(-4)

x = [-3 +/- 7]/(-4)

x1 = (-3 + 7)/(-4) = 4/-4 = -1

x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5

so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times

7 0

2 years ago