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Lera25 [3.4K]
3 years ago
13

The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your w

ork to receive full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

A. The area of a square is given as:

A = s^2

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

A = (2 x – 5)^2                  

Expanding,

A = 4 x^2 – 20 x + 25

 

B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

 

<span>C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.</span>

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The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b
mel-nik [20]

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

3 0
3 years ago
Adrian knows that the quotient of 0.75 divided by 0.8 is less than 1. He knows that the quotient of 0.8 divided by 0.75 is great
MrRa [10]
Hey There!

Adrian knows this because whenever you divide something less than the number you are dividing, in this case, then the quotient will be less than one. If you divide something that is greater than the number you are dividing, than in this case, the answer will be greater than one.

Have A Brainly Day!
7 0
3 years ago
Maria handed out 125 flyers that gave students the time and locationtry outs for the school volleyball team. What is 125 written
Temka [501]
One way  is to factor and see which ones repeat

125=5*5*5
it is 5 times itself 3 times
5^3


4 0
3 years ago
Read 2 more answers
What is the inverse of f(x)=3+2lnx in radical form
butalik [34]

f(x)=3+2\ln x,\ x > 0\\\\y=3+2\ln x\\\\\text{replace x with y and y with x}\\\\3+2\ln y=x\ \ \ \ |-3\\\\2\ln y=x-3\ \ \ \ |:2\\\\\ln y=\dfrac{y-3}{2}\to e^{\ln y}=e^{\frac{y-3}{2}}\\\\y=e^{\frac{y-3}{2}}\\\\Answer:\ f^{-1}(x)=e^{\frac{y-3}{2}}

8 0
3 years ago
At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
3 years ago
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