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murzikaleks [220]
3 years ago
9

Suppose Evan is trying to build a frame out of popsicle sticks x inches long. The frame will have length (2x – 3) and width of (

x – 2). If the popsicle sticks are 3 inches long, what is the area of the frame in inches and expressed as a polynomial? A. 3 square inches; 2x2 – 7x + 6 B. 3 square inches; 2x4 – 4x + 6 C. 21 square inches; 2x2 – x + 6 D. 15 square inches; 2x2 – 3x + 6
Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

The correct option is A)  3 square inches; 2x^2-7x+6.

Step-by-step explanation:

It is given that the length of the frame is (2x-3) and the width is (x-2)

The area of the rectangle is: A=l\times w

Where, A is the area l is the length and w is the width of the rectangle.

Put l=(2x-3) and w=(x-2) in the area of the rectangle.

A=(2x-3)(x-2)\\A=2x^2-4x-3x+6\\A=2x^2-7x+6

The area of the frame expressed as a polynomial is 2x^2-7x+6.

Now substitute x=3 in A=2x^2-7x+6.

A=2(3)^2-7(3)+6\\A=18-21+6\\A=3

The area of the frame is 3 square inches.

Hence, the correct option is A)  3 square inches; 2x^2-7x+6.

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Step-by-step explanation:

6|8-y|-15

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3 years ago
Solve. -7x=x^2+12 help
Nat2105 [25]

Hey There!

The answer to your problem is x=-3 or x=-4 both answers are correct!

<u>Step 1: Subtract x²+12 from both sides.</u>

−7x−(x²+12)=x²+12−(x²+12)

−x²−7x−12=0

<u>Step 2: Factor left side of equation.</u>

(-x-3)(x+4)=0

<u>Step 3: Set factors equal to 0.</u>

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x=-3 or x=-4

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3 years ago
What is the median of the data set?
cluponka [151]

Answer: 85.5

Step-by-step explanation:

There are 22 data points in the data set.

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The 11th score is 85

The 12th score is 86

The average of the two is 85.5

Hence the answer is 85.5

3 0
3 years ago
#20 four times the sum of number. and 15 is a least20. Let X represent the number. :find ball possible values for X
gayaneshka [121]
For this case what we have to take into account is the following variable:
 x = represent the unknown number
 We now write the following inequality:
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 We clear the value of x:
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6 0
3 years ago
Cassidy's diving platform is 6 ft above the water. One of her dives can
avanturin [10]

Answer:

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Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, d_{max} = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = d_{max} = -6.25 ft = 6.25 ft. below the surface of the water.

8 0
2 years ago
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