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Masja [62]
2 years ago
8

The Johnsons’ new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool,

in square feet?
Mathematics
1 answer:
Usimov [2.4K]2 years ago
8 0

Answer:

3x^3 + 4x^2 -3x + 2

Step-by-step explanation:

The area of the swimming pool will be equal to length * width.

We know that the length is 3x^2-2x+1 and the width is x+2.

Therefore we can substitute those into the equation:

(3x^2-2x+1)(x+2)\\

Then, we expand the brackets using a grid (attached).

After this, we collect like terms to find the final answer:

3x^3+6x^2-2x^2-4x+x+2\\3x^3 + 4x^2 -3x + 2

Our final answer is: 3x^3 + 4x^2 -3x + 2

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zmey [24]
I think it is answer D
4 0
2 years ago
What is the area of the figure
Tomtit [17]
A²+b²=c²
a=b because it has 2 45° angles and one 90 so it is isosceles right triangle

∴ a² + a² = c²
2a²=24²
2a²=576
a²=288
a=√288
a=16.97056275

Therefore. With A=1/2bh
A=(1/2) * 16.97056275 * 16.97056275
   = (1/2) * 288
   = 144

144 ft²
4 0
3 years ago
Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
Dovator [93]
The confidence interval is from 0.2191 to 0.2649, given by

0.242\pm0.0229.

The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05

Divide that by 2:
0.05/2 = 0.025

Subtract that from 1:
1 - 0.025 = 0.975

Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.

Now our confidence interval is given by
\overline{x} \pm z\times \frac{\sigma}{\sqrt{n}}
\\
\\0.242\pm 1.96 \times (\frac{0.037}{\sqrt{10}})
\\
\\0.242 \pm .0229
\\
\\0.242-0.0229=0.2191
\\
\\0.242+0.0229 = 0.2649
5 0
3 years ago
Luisa buys a plane ticket that has an original price of $\$240$ . She uses a coupon code to get a $30\%$ discount off of the ori
stealth61 [152]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
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Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add
Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
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