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Novosadov [1.4K]
3 years ago
13

Solve: 4x(x - 3)(x + 5)(2x - 7) = 0

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer: 8x⁴ - 12x³ - 176x² + 420x

Step-by-step explanation:

First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.

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The sum of four consecutive even integers is 180. what is the smallest integer?
n200080 [17]
42
let the smallest even number be x, than the four even numbers are x, x+2, x+4, x+6, their sum is 180

x+x+2+x+4+x+6=180
                4x+12=180
                      4x=168
                        x=42
the smallest even number is 42.

3 0
3 years ago
If she saves 1$ the first week 3$ the season week 9$ the third week how much will she save in 5 weeks
ycow [4]

Based on the numbers we have we can assume that she saves 3 times more each week than the last (1*3=3, 3*3=9).

Following this trend we would multiply the amount she saved the third week ($9) by 3 to get $27 for the fourth week.

Then, we would multiply the amount she saved the fourth week ($27) by 3 to get $81 for the fifth week.

Finally, to figure out how much she saved in the 5 weeks, we need to add each value up to get 1+3+9+27+81= $121 saved in 5 weeks

5 0
3 years ago
The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit
koban [17]

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

6 0
3 years ago
Find the number of all 20 digit integers in which no two consecutive digits are the same
Arturiano [62]
For the first digit of the required 20-digit number, we can have 9 choices for the number, those are the digits 1 to 9. In the second digit of the number, we will only have 8 choices. That is because, we don't want to write a number in the second digit that is similar to the first digit and the third digit.

Similarly, in the third digit's place, we will only have 8 choices because we do not want the digit to be similar to the second digit and the fourth digit. This will go on up until the 19th digit. In the 20th digit, we will also have 9 choices (from 0-9) but we do not want the digit to be similar to the 19th digit. 

From the explanation given above, we have the number of ways,

    n = 9 x 8^(19 - 1) x 9  = 1.459 x 10^18

<em>ANSWER: 1.459 x 10^18</em>
5 0
4 years ago
These tables of values represent continuous functions. In which table do the values represent an exponential function?
denis-greek [22]

Answer:

Option C

Step-by-step explanation:

In this case, an exponential function is a function that has common ratio whereas it is called a linear function if it has common difference.

Option A:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option A is is not correct.

Option B:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option B is not correct.

In option C.

Since the given values of y in the table have a common ratio, it is said to be an exponential function.

Option C is correct.

In option D.

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option D is incorrect.

7 0
3 years ago
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