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motikmotik
10 days ago
7

How could Brent use a rectangle to model the factors of \large x^2-7x+6?

Mathematics
1 answer:
PIT_PIT [12.4K]10 days ago
5 0
Brent could represent a rectangle with the dimensions of x - 1 and x - 6, then demonstrate that the area equals the combination of x^2, -x, -6x, and 6.
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1 month ago
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4/9 divided by what equals 12?<br> :)
Inessa [12570]

Answer:

To solve (4/9)/x = 12, multiply both sides by x to get (4/9) = 12x. Then, divide both sides by 12. The answer is 27.

I hope this is helpful!

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1 month ago
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A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
Svet_ta [12734]

Answer:

f(x)=120000 \times (1.055)^{x}

Step-by-step explanation:

The present value of the house is $120,000 and the interest rate is 5.5%, or 0.055.

We will utilize the following equation:

f(x)=P \times (1+r)^{x}

where P represents the present value, r symbolizes the interest rate, and x refers to the number of years.

By inputting the values into the above equation, we can obtain:

f(x)=120000 \times (1+0.055)^{x}

f ( x ) = 120000 \times ( 1.055 ) ^ { x }

8 0
25 days ago
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The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
tester [12383]

Answer:

The function decreases across all real numbers x where x < 1.5.

Step-by-step explanation:

We have

f(x)=(x-4)(x+1)

f(x)=x^2+x-4x-4

f(x)=x^2-3x-4

This represents an upward-opening vertical parabola

The vertex denotes a minimum point

The vertex is located at (1.5,-6.25)

We know that

The function is decreasing within the interval ----> (-∞, 1.5) x < 1.5

This means----> the function is continuously decreasing for all real x values under 1.5

Conversely, the function is increasing within the interval ----> (1.5, ∞) x> 1.5

Thus, for all real x values greater than 1.5, the function is increasing

Check the attached figure for further clarification

Therefore

The true statement is

The function decreases across all real numbers x where x < 1.5.

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1 month ago
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Sara’s little brother is getting ready to color the picture of a rainbow that Sara drew for him. To make the task easier for her
Zina [12379]
There are seven rainbow colors: red, orange, yellow, green, blue, indigo, and violet, so 7 possible choices. When two events occur in sequence, multiply their probabilities. With replacement: P(violet)=1/7 and P(orange)=1/7, so P(violet then orange)=1/7 * 1/7 = 1/49. Without replacement: after picking violet, P(orange)=1/6, so P(violet then orange)=1/7 * 1/6 = 1/42.
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18 days ago
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