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damaskus [11]
3 years ago
5

Solve for x- 6x^2 + 36x + 54 = 0

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

6x^2+36x+54=0

First, you can factor out a 6:

6(x^2+6x+9)=0

Next, you can factor the quadratic:

6(x+3)^2=0

Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!

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Lillian deposits $1,600 in an account at Excellence Bank. Find the total value of her account after 18 years. Total Value
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Answer:

28,800

Step-by-step explanation:

3 0
3 years ago
Jordan can clean 57 houses a week. Taylor can clean 27 houses in 3 days. If they work together, how many days
kirill [66]
7.29 but if you have to round up, 8 days
7 0
3 years ago
A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of
KiRa [710]

To calculate the z-statistic, we must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 2.68.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (195 – 208)/2.68 = -4.86

5 0
3 years ago
1. Construct Paasche's price index number from the following table for 2017
Crank

Answer:

A

Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)             <u> ANSWER A</u>

4 0
3 years ago
The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di
Ber [7]

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

7 0
2 years ago
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