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3 years ago

6

The expression below is the factorization of what trinomial? (7x + 5)(2x - 3)

2 answers:

allsm [11]3 years ago

8 0

You can simply expand the factorised form out:
y = 14x² - 21x + 10x - 15
y = 14x² -11x -15

Stels [109]3 years ago

6 0

Answer:

The trinomial is $14x^{2}-11x - 15$

Step-by-step explanation:

We need to find the trinomial which has the factors $(7x + 5)(2x - 3)$

To find the trinomial , we need to multiply the factors

$(7x + 5)(2x - 3)$

multiply term wise,

$14x^{2}-21x +10x - 15$

$14x^{2}-11x - 15$

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Form a polynomial function(x) with zeros: -2, multiplicity 1; 1, multiplicity 2; 5, multiplicity 3; and degree 6. Use 1 as the l

Citrus2011 [14]

Answer:

Remember, a number a is a zero of the polynomial p(x) if p(a)=0. And a has multiplicity n if the factor (x-a) appear n times in the factorization of p(x).

1. Since -2 is a zero with multiplicity 1, then (x+2) is a factor of the polynomial.

2. Since 1 is a zero with multiplicity 2, then (x-1) is a factor of the polynomial and appear 2 times.

3. Since 5 is a zero with multiplicity 3, then (x-5) is a factor of the polynomial and appear 3 times.

Then, the polynomial function with the zeros described above is

$p(x)=(x+2)(x-1)^2(x-5)^3= x^6-15x^5+72x^4-78x^3-255x^2+525x-250$

8 0

3 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

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2 years ago

Jaya forgets how to write numbers in expanded form. Explain the steps to her using the number 13.652 as an example, and then wri

Natalija [7]

Step-by-step explanation:

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expanded factor form. 1x10+3×1+6x0.1+5×0.01+2×.001

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word form is thirteen and six hundred fifty-two thousandths

4 0

2 years ago

Willie spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $5. What is his

Lera25 [3.4K]

Answer:

14 dollars

Step-by-step explanation:

14÷2= 7

7+5=12

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3 years ago

Triangle ABC translates to triangle A’B’C describe the translation in terms of x and y conditions

aksik [14]

Answer:

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Step-by-step explanation:

I don't really know what notation you wanna use, but yeah. thems the facts

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2 years ago

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