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lisabon 2012 [21]
3 years ago
14

What is the smallest solution to the equation 3x

{2} " alt=" x^{2} " align="absmiddle" class="latex-formula">-16=131
Mathematics
1 answer:
topjm [15]3 years ago
6 0
IF you mean 3 x^{2} -16=131, then the following would be a solution:

First add 16 to both sides of the equation:
3 x^{2} = 147

Now divide both sides of the equation by 3:
x^{2} =49

Take the square root of both sides to solve for "X", or simply solve by inspection: "what number(s) can be squared to get 49?"

Answer: -7 and 7 So the smallest solution would be "-7"
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Brainliest to the first correct answer!
Goryan [66]

Answer:

D.

Step-by-step explanation:

You know that 0.25 went to 2.00. That means that it's a 1.75 jump. In order to jump the other two prices up and keep the ratio the same, you must also jump them 1.75.

0.05 + 1.75 = 1.80

0.10 + 1.75 = 1.85

To double check the ration we can look back on the original. 0.05 to 0.10 is a scale of 0.05. 0.10 to 0.25 is a scale of 0.15

Then we look at our new one. 1.80 to 1.85 is a scale of 0.05. 1.85 to 2.00 is a scale of 0.15.

The ratios stayed the same, so this is the correct answer.

I hope this helped :)

7 0
3 years ago
Read 2 more answers
Which improper fraction is equal to the mixed number 6 4/7
Georgia [21]

Answer:

46/7 :)

Step-by-step explanation:

6 4/7 is the mixed number here.

The answer is (6*7 + 4) / 7 = 46/7 :)

5 0
3 years ago
Read 2 more answers
Solve the system of equations below.<br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
timofeeve [1]

Answer:

  A.  (-7 -2)

Step-by-step explanation:

You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:

  7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)

  -21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses

  -51x = 357 . . . . . . . . collect terms

  x = -7 . . . . . . . divide by -51. This matches answer choice A.

7 0
3 years ago
Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
suppose you have $11000 to invest. which of the two rates would yield the larger amount in 5 years: 6% compounded monthly or 5.8
umka21 [38]

Answer:

  6% monthly

Step-by-step explanation:

The monthly rate being compounded when the interest is 6% per year is ...

  6%/12 = 0.5%

so the multiplier each month is

  1 + 0.5% = 1.005

___

The monthly multiplier when 5.86% is compounded continuously is ...

  e^(5.86%/12) ≈ 1.004895

The 6% rate will give a larger yield after any length of time.

6 0
3 years ago
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