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3 years ago

13

Solve this equation using the most direct method: 3x(x + 6) = -10 Enter your solution in the exact, most simplified form. If the

re are two solutions, write the answer using the ± symbol. Describe and justify the methods you used to solve the quadratic equation.

1 answer:

Dvinal [7]3 years ago

7 0

The answer is X = -5.38

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Lyrx [107]

Answer:

24 pieces of bread

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2 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

What is obtained by squaring the standard deviation?

anastassius [24]

<h2>Answer:</h2>

Variance

<h2>Step-by-step explanation:</h2>

The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma $\sigma$ , while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as $\sigma^{2}$

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3 years ago

Jackson bought 3 pounds of candies for $9.75 What was the price of these candies in dollars per pound?

Stels [109]

9.75 dollars divided by 3 pounds equals 3.25 per pound

8 0

3 years ago

What number should be added to 1253 to get 3000

grandymaker [24]

1847..............................

4 0

3 years ago

Read 2 more answers