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solmaris [256]
2 years ago
11

Solve for 2(-6y+29)-4y=-6

Mathematics
1 answer:
uranmaximum [27]2 years ago
3 0

Answer:

y = 4

Step-by-step explanation:

2 ( - 6 y + 29 ) - 4 y = - 6

⇒ Expand brackets

-12 y + 58 - 4 y = -6

Simplify

-16 y + 58 = -6

⇒ -58 from to isolate - 16 y

-16 y = - 64

⇒ ÷ -16 from both sides to isolate y

y = 4

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Write (8a-^3) -2/3 in simplest form
Anna71 [15]

(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

(8a^{-3})^{\frac{-2}{3}

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

(a^m)^n = a^{mn}

Using this, simplify the given expression

(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

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8 0
3 years ago
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Rzqust [24]

Answer:

See answer below

Step-by-step explanation:

For the first expression

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evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

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we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.

4 0
2 years ago
Wiley wants to make as many snack
Ghella [55]

Answer:

Wiley can make 10 snack packs.

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6 0
3 years ago
 Round your answer to the nearest hundredth. A flower garden is 11.25 meters long. Mr. Owens wants to make a border along one si
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To find the answer just divide the length of a flower garden by the length of a brick:

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8 0
2 years ago
How do I order rational and irrational numbers from least to greatest
gizmo_the_mogwai [7]

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An improper fraction is a fraction with a bigger numerator than denominator. These numbers can be difficult to compare. For example, numbers such as 26/7, 31/9, 12/5, 8/3 and 22/13 do not have an obvious highest or lowest term. Rewrite improper fractions as mixed numbers or as numbers with decimals. To turn an improper fraction into a decimal, divide the numerator by the denominator. If the denominator is large or a prime number greater than five, use a calculator. For example, divide the numbers 26/7, 31/9, 12/5, 8/3 and 22/13 to create 3.71, 3.44, 2.4, 2.67 and 1.69.

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Figure out where your number line starts and ends. Put the lowest term on the far left and the highest term on the far right. Remember, negative numbers are lower than positive numbers, and the greater a negative number's distance from zero, the lower it is.

3.Mark benchmark terms

Draw a line extending through your lowest and highest points. Figure out some major points between these values and mark them on your line. For example, if your lowest number is negative 25 and your highest number is 50, find where zero and 25 would be. Mark these as benchmarks or guides.

4.Fill in the remaining numbers

Using your guides, fill in the rest of the numbers. Start with the lowest values on the left and work your way up.  


4 0
3 years ago
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