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1 year ago

Write the expression 5x(x+9) -7(x+9) in complete factored form.

Mathematics

2 answers:

tia_tia [17]1 year ago

6 0

5x^2 + 45 - 7x - 63 which simplifies to 5x^2 -7x -18?

sdas [7]1 year ago

3 0

<h3>Answer:</h3>

(5x-7)(x-9)

<h3>Step-by-step explanation:</h3>

Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.

Partial Factoring

The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.

Complete Factoring

Even though it was partially factored, we can factor it more. When given the situation:

a(x + y) - b(x + y)

The expression can be factored into:

(a - b)(x + y)

You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.

Thus, 5x(x+9) -7(x+9) can be factored into:

(5x-7)(x-9)

Remember this trick only works when both terms share a factor like (x-9).

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inn [45]

Step-by-step explanation:

$35 + 35 = 70$

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2 years ago

98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONS

photoshop1234 [79]

Answer:

40 Tickets

80 Tickets

Step-by-step explanation:

To find how many tickets it will take to break even, we use the formula:

$Break Even In Units = \dfrac{FixedCost}{SalesPricePerUnit-VariableCost}$

Our variables are:

Fixed Cost = $200

Sales Price = $10

Variable Cost = $5

Let's plug in our values into the formula.

$Break Even In Units = \dfrac{200}{10-5}$

$Break Even In Units = \dfrac{200}{5}$

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So the class needs to sell a total of 40 Tickets to break even.

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2 years ago

X + y = 17

sashaice [31]

Answer:

x = 8 and y=9 or y = 8 and x = 9

Step-by-step explanation:

8 x 9 = 72

8+9 = 17

9 x 8 = 72

9+8 = 17

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2 years ago

Need help with this question

AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

(( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points on the line)

In context of this problem, we can use the formula to find the slope of the line between the two points:

$m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1$

Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is $(y - y_1) = m(x - x_1)$ where ( $x_1$ , $y_1$ ) is a point on the line)

In the context of the problem, we could use the formula to find the equation of the line:

$(y - 6) = -1(x + 1)$

$(y - 6) = -x - 1$

$\boxed{y = -x + 5}$

The equation of the line is y = -x + 5.

4 0

2 years ago

Pls help What is true about the following sequence: 2.7, 6.5, 10.3, 14.1, 17.9*

RSB [31]

Answer:

<em>D.) It has a common difference of 3.8</em>

Step-by-step explanation:

When you subtract $a_{2} -a_{1}$ you get a common difference, the same goes for the other values: when you subtract the previous term from the next, you get a common difference of positive 3.8

7 0

2 years ago

Write the expression 5x(x+9) -7(x+9) in complete factored form.​

Write the expression 5x(x+9) -7(x+9) in complete factored form.