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3 years ago

What is the best first step in solving the equation 3 +

" title="3\sqrt[6]{x}" alt="3\sqrt[6]{x}" align="absmiddle" class="latex-formula"> = 5?

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

$3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}$

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Answer please Fast Fast

solong [7]

Answer:

A. 228.5

B. 10

Step-by-step explanation:

A. Since x represents the number of months, replace x with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.

B. You need to solve for x by switching the signs in the equation. Set the original equation (29x+54.5) equal to 344.50. To solve for x, first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing x in the original equation with 10, and if you get 344.5, your answer is correct.

Good luck :)

6 0

3 years ago

Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?

tia_tia [17]

Answer:

Step-by-step explanation:

To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct

x=-4, y=2

-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8

x=0, y=8

-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0

x=8, y=0

-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative

x=2, y=3

-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.

x=0, y=4

-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works

x=4, y=6

-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.

x=-2, y=5

-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16

x=-8, y=0

-2x+4y = -2 * (-8) + 4 * (0) = 16. This works, but the other pair does not work, so D is incorrect

3 0

3 years ago

89 divided by 37? help me please

Oliga [24]

Answer:

2.40540540541

3 0

3 years ago

The marked price of an article is 30% above it's selling price and the cost price is 35%less than it's marked price. find the di

SashulF [63]

Answer:

Let C be the cost price of the article. Then:

C(1+30%)=marked price

So:

C(1+30%)=C(1.3)

=1.3C

If the article is then marked down 35%, then its’ price would be:

1.3C(1–35%)=1.3C(.65)

=0.845 or 84.5% of its’ cost

Then:

0.845–1=-0.155

or, a 15.5% loss on the item

8 0

4 years ago

Please help me with this question

jok3333 [9.3K]

9514 1404 393

Answer:

-3/8 × (first term)

Step-by-step explanation:

The general term of an arithmetic sequence is ...

an = a1 +d(n -1)

Then the ratio of interest is ...

(7th term)/(9th term) = 5/8

(a1 +6d)/(a1 +8d) = 5/8

Multiplying by 8(a1 +8d) we get ...

8(a1 +6d) = 5(a1 +8d)

8a1 +48d = 5a1 +40d . . . . . . eliminate parentheses

8d = -3a1 . . . . . . . . . . . . . . subtract 40d+8a1

d = (-3/8)a1 . . . . . . . . . . divide by 8 to find the common difference

The common difference is -3/8 times the first term.

Example

Let the first term be -16. Then the common difference is (-3/8)(-16) = 6. The first 9 terms of the sequence are ...

-16, -10, -4, 2, 8, 14, 20, 26, 32

The ratio of the 7th and 9th terms is ...

20/32 = 5/8 . . . . as required

In the general case, the ratio of terms would be ...

(a1 +(-3/8a1)(7 -1))/(a1 +(-3/8a1)(9 -1)) = (1 -6(3/8))/(1 -8(3/8)) = (-10/8)/(-16/8) = 5/8

8 0

3 years ago