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4 years ago

In eleven years gabriella will be 38years old how old is she now

Mathematics

1 answer:

o-na [289]4 years ago

7 0

Answer: 27

Step-by-step explanation: She is 27 years right now because 38-11 is 27.

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The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

7 0

3 years ago

X-y=4 and 1/2x+1/2y=18

cluponka [151]

value of x = 20 and value of y=16

Solution set=(20,16)

Step-by-step explanation:

We need to solve system of equations:

$x-y=4\\\frac{1}{2}x+ \frac{1}{2}y=18$

Let:

$x-y=4\,\,\,eq(1)\\\frac{1}{2}x+ \frac{1}{2}y=18\,\,\,eq(2)$

Simplifying equation 2:

$\frac{1}{2}x+ \frac{1}{2}y=18$

Taking LCM on left side:

$\frac{x+y}{2}=18$

$x+y=18*2$

$x+y=36\,\,\,eq(3)$

Adding eq(1) and eq(3)

$x-y=4\\x+y=36\\-----\\2x=40\\x=40/2\\x=20$

Putting value of x in eq(1) and finding y:

$x-y=4\\20-y=4\\-y=4-20\\-y=-16\\y=16$

So, value of x = 20 and value of y=16

Solution set=(20,16)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

4 years ago

Evaluate the expression, using the given value of the variable.

iren2701 [21]

Answer:

-16

Step-by-step explanation:

Z/3 - 5(z) + 4(z-2)

12 /3 - 5(12) + 4(12-2)

4-60+40

-16

4 0

3 years ago

Question 20

Sveta_85 [38]

I don’t know bro lol

8 0

3 years ago

PLEASEEEEEEEEEEEE HELPPPPPPPPPPP 9 + 6x - 5 =

blondinia [14]

Answer:

6x +4

Step-by-step explanation:

9 + 6x - 5 =

Combine like terms

6x +4

8 0

3 years ago

In eleven years gabriella will be 38years old how old is she now​

In eleven years gabriella will be 38years old how old is she now