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3 years ago

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

2 answers:

Crank3 years ago

6 0

<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>

ivann1987 [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Since Brent uses a rectangle that models the area = (x² - 7x + 6)

Now we will factorize this expression

x² - 7x + 6 = x² - 6x - x + 6

= x(x - 6) - 1(x - 6)

= (x - 1)(x - 6)

Therefore, (x -1) and (x - 6) will represent the sides of a rectangle so that multiplication of the sides will model the area of the rectangle.

You might be interested in

15 is 6% of what number?

satela [25.4K]

Answer:

250

Step-by-step explanation:

If 15 is 6% multiplying it by 16.66666666666667‬ will make it 100%

15 x 16.66666666666667‬ = 250

Another way to do this is divide by 6 and multiply by 100

7 0

3 years ago

The chemical Element ,silver , boils at temperatures of 3924°F what is the boiling point for silver in degrees Celsius ? round y

mixer [17]

Answer:

2162.2 degrees Celsius

Step-by-step explanation:

Celsius (°C) = (Fahrenheit - 32) / 1.8

3924-32 = 3892

3982 / 1.8 = 2162.2222222222222222222222

Rounded is 2162.2

8 0

2 years ago

Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E

aivan3 [116]

Answer:

Kim had bought 12 sandwiches.

Step-by-step explanation:

Given:

Amount spend at Midtown Dine = $35

Amount spend on large order of potato salad = $5

Cost of each sandwich = $2.5

We need to find the number of sandwich did Kim bought.

Solution:

Let the number of sandwich Kim bought be 'x'.

Now we know that;

Amount spend at Midtown Dine is equal to sum of Amount spend on large order of potato salad and number of sandwich Kim bought multiplied by Cost of each sandwich.

framing in equation form we get;

$5+2.5x=35$

Subtracting both side by 5 we get;

$5+2.5x-5=35-5\\\\2.5x=30$

Dividing both side by 2.5 we get;

$\frac{2.5x}{2.5}=\frac{30}{2.5}\\\\x=12$

Hence Kim had bought 12 sandwiches.

3 0

3 years ago

The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be $4\,in\,:\,5\,ft$ and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ( $r$ ), measured in inches per feet, is equivalent to the following rational number: