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2 years ago

Factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )

Mathematics

2 answers:

Vikki [24]2 years ago

6 0

Answer:

2(3x + 1)(x + 1)

Step-by-step explanation:

Given

6x² + 8x + 2 ← factor out 2 from each term

= 2(3x² + 4x + 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 1 = 3 and sum = 4

The factors are + 3 and + 1

Use these factors to split the x- term

3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )

= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term

= (3x + 1)(x + 1) , then

3x² + 4x + 1 = (3x + 1)(x + 1)

and

6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form

Alona [7]2 years ago

4 0

Answer:

2(3x+1)(x+1)

Step-by-step explanation:

First, we factor out the common term, which is 2.

2(3x²+4x+1)

Then, we factor the polynomial inside the parenthesis.

2(3x+1)(x+1)

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Rewrite ^3 sqrt 27x-81-5 to make it easy to graph a translation. Describe the graph.

iragen [17]

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2 years ago

What is the exponent?

pishuonlain [190]

A exponent is the smaller number you will see sometimes on the top of a number or to the right of it but smaller than normal font

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3 years ago

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

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2 years ago

4 x equals negative 2x + negative 6

erastovalidia [21]

So x equals two if it is an exponent.9

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2 years ago

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Allana 3/5 used yard of fabric to make a scarf. Can she make 2 of these scarves with 1 7/10 yards of fabric, and why?

Andreas93 [3]

One scarf takes 3/5 of a yard. Two of these takes 6/5 of a yard. If we put the 1 7/10 into an improper fraction we would get 17/10. So in order to compare the two fractions, the 6/5 and the 17/10, they have to have the same denominator. 6/5 can be rewritten as 12/10. 12/10 is less that the 17/10 you have, so yes you can make two scarves with that amount of fabric.

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2 years ago