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mezya [45]
3 years ago
7

Write an equation to represent the following statement. 24 is 4 times as great as k.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0

Answer:

24 x 4 = k x 4

Step-by-step explanation:

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What is 0.1% of 203.75 million?
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Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

6 0
2 years ago
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of
KengaRu [80]

Answer:

G=93\ to\ 147

Step-by-step explanation:

From the question we are told that

Mean x= 120  

Standard deviation \sigma= 9

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 9

Mean x= 120

Generally the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G=Mean \pm 3* \sigma

G=120 \pm 3*9

G=93\ to\ 147

6 0
2 years ago
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