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Alex Ar [27]
3 years ago
14

Write -2 + 4 + -8 + ...+ 64 +-128 in sigma notation. Then determine the sum.

Mathematics
1 answer:
Grace [21]3 years ago
4 0
It would be -70. Your welcome
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3/8 cups

Step-by-step explanation:

Divide both sides by 2 to get the value for 1/3 cup of water:

1/3 cup water = 1/8 cup of oil

Now, multiply each side of the equation by 3 to get 1 cup of water:

1 cup water = 3/8 cup of oil

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If a sausage-making machine produces 3,000 sausages in h hours, how many sausages can it produce in m minutes?
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PLSSS HELP ASAP<br> solve questions 1-5 please
sertanlavr [38]

#1. 4x^2 + 17 - 15 = 0

Use the roots given, and plug them in to a factored form. Then, foil! It can also be helpful to multiply the equation to get rid of decimals/fractions.

(x - 3/4)(x + 5) = 0

x^2 - 3/4x + 5x - 3 3/4 = 0

x^2 + 4.25 - 3.75 = 0 (multiply everything by 4)

4x^2 + 17 - 15 = 0

#2. y = 0, -4

Both 4y^2 and 16y contain a 4 in the coefficient and a y in the variables. Therefore, we can factor out a 4y from each.

4y(y + 4) = 0

Then, set both parts of the factored equation equal to 0.

4y = 0

y = 0

y + 4 = 0

y = -4

#3. a = 0, -3

Both 6a^5 and 18a^4 contain a 6 in the coefficient and an a in the variables. Therefore, we can factor out a 6a^4 from each.

6a^4(a + 3) = 0

Then, set both parts of the factored equation equal to 0.

6a^4 = 0

a = 0

a + 3 = 0

a = -3

#4. x = -8

We are looking for two terms that multiply to equal a * c, and add up to equal b. We know that 8 + 8 = 16, and 8 * 8 = 64. There are no negatives in this equation, therefore both signs in our factored form are positive.

(x + 8)(x + 8) = 0

x + 8 = 0

x = -8

#5. x = -8, 8

First, subtract 64 from both sides. The key word here is 'factoring.' If this was not present, there is a different way (which may be easier for some).

x^2 = 64

x^2 - 64 = 0

Next, use the difference of two squares property to factor (x - c)(x + c), and set the two binomials equal to 0.

(x - 8)(x + 8) = 0

x - 8 = 0

x = 8

x + 8 = 0

x = -8

Hope this helps!! :)

3 0
3 years ago
If 8 x 3 = 24 what does 24/3 equal
zimovet [89]

Answer:

Very easy! It is equal to 8.

8 0
3 years ago
Read 2 more answers
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