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3 years ago

Solve: 24x^3 -26x^ 2 +9x -1=0.

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

Answer:

x = 1/2 , x = 1/4 , x = 1/3

Step-by-step explanation:

Factor the following equation --> 24x^3 — 26x^2 + 9x — 1 = 0

You will get ----> (2x - 1) (4x - 1) (3x - 1) = 0

Now make all the above expressions = 0 and solve.

2x - 1 = 0 4x - 1 = 0 3x - 1 = 0

+1 +1 +1 +1 +1 +1

------------------ ------------------ ------------------

2x = 1 4x = 1 3x = 1

/2 /2 /4 /4 /3 /3

------------------- ------------------- ----------------------

x = 1/2 x = 1/4 x = 1/3

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sattari [20]

Answer:828.96m^2

Step-by-step explanation:

radius(r)=8m

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3 0

3 years ago

For the annual rate of change of +70%, find the corresponding growth or Decay Factor.

omeli [17]

Hello there!
1. Okay. So 70% is positive, so it is a corresponding growth. 70% is 0.7 in decimal form. C and D are both eliminated, because that's too large. When something grows by 70%, that is less than double. 0.7 is not right either, because that's more of a decay than a growth. The only answer that makes sense id 1.70, because you are going up, and adding 1 to decimal form brings you to the decimal that when multiplied will bring you to the total. The answer is B: 1.70.

2. So, -75% is negative, so it is a decay factor. A is eliminated, because it makes no sense and B is out, because that represents growth, not decay. You lose 75% of the amount overtime compounded, but you still have 25% that remains. To find that amount, you would subtract that amount from 1 to get the decay. 1 - 0.75 is 0.25. The decay factor is 0.25. The answer is D: 0.25.

4 0

3 years ago

ALGEBRA by bundling cellular land line high speed internet connection and cable service Joyce abbot was able to save 48.50 per m

andreyandreev [35.5K]

Answer: She should budget $672.89 monthly next year for this service.

Step-by-step explanation:

Since we have given that

Amount he was able to save per month = $48.50

Total amount he spent for the year = $1254.89

Amount he saved for the year would be

$48.50\times 12\\\\=\$582$

Amount left from total would be

$1254.89-582\\\\=\$672.89$

Hence, She should budget $672.89 monthly next year for this service.

6 0

3 years ago

Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).

erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

$|u|=\sqrt{14^2+9^2}$ which is $\sqrt{277}$

$|v|=\sqrt{3^2+6^2}$ which is $\sqrt{45}$

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

$cos\theta=\frac{uv}{|u||v|}$ where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

$cos^{-1}\theta=\frac{96}{111.64676}$ which returns an angle measure of 30.7. Plugging that all into the dot product formula: