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murzikaleks [220]
2 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]2 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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Tim needs 3 pounds of vegetables for a vegetable soup recipe.
klio [65]

Answer:

25/12 - pounds more vegetables

Step-by-step explanation:

first we need to put these variables into like terms

36/12 - 3

8/12 - 2/3

3/12 - 1/4

add the last two up and subtract from the first and you get how much you need left over

8 0
3 years ago
The measurement of a central angle is 75. Find the measurement of <br> in radians
Marina CMI [18]
Circumference = 360 degrees 
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>

<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>

<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>

<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>

<span>75 deg. ≈ 1.308997 radians</span>
5 0
3 years ago
How to solve y + x = 2
mr_godi [17]
Not enough information to "solve for X and Y". it can be a number of things; 1 and 1. 0 and 2. -1 and 3. There is no solving unless there is more information
5 0
3 years ago
Read 2 more answers
At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's
ZanzabumX [31]
Ithe answer is 1.499495
5 0
3 years ago
I literally don't know how to figure this out i haven't done this in ages. Help please
Hitman42 [59]
We begin with an unknown initial investment value, which we will call P. This value is what we are solving for.

The amount in the account on January 1st, 2015 before Carol withdraws $1000 is found by the compound interest formula A = P(1+r/n)^(nt) ; where A is the amount in the account after interest, r is the interest rate, t is time (in years), and n is the number of compounding periods per year.

In this problem, the interest compounds annually, so we can simplify the formula to A = P(1+r)^t. We can plug in our values for r and t. r is equal to .025, because that is equal to 2.5%. t is equal to one, so we can just write A = P(1.025).

We then must withdraw 1000 from this amount, and allow it to gain interest for one more year.

The principle in the account at the beginning of 2015 after the withdrawal is equal to 1.025P - 1000. We can plug this into the compound interest formula again, as well as the amount in the account at the beginning of 2016.

23,517.6 = (1.025P - 1000)(1 + .025)^1
23,517.6 = (1.025P - 1000)(1.025)

Divide both sides by 1.025

22,944 = (1.025P - 1000)

Add 1000 to both sides

23,944 = 1.025P

Divide both by 1.025 for the answer

$22,384.39 = P. We now have the value of the initial investment.

8 0
2 years ago
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