BUILDING ON THE ESSENTIAL QUESTION .How are negative exponents and positive exponents related?

1 answer:

5 0

Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. ... Negative Exponent Rule: , this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

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Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,

raketka [301]

First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5

3 0

2 years ago

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Solve for x:*<br><br> 8 – 2(3x + 5) = 0

IRINA_888 [86]

8-2(3x+5)=0
8(-6x-10)=0
-48x-80=0
-48x=80
x= -8/5 or -1.6

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2 years ago

Larry's Lemons is a street vendor business that sells lemonade and lemon bars. A cup of lemonade sells for $2 and a lemon bar se

maxonik [38]

We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...

x ≥ 150
y ≥ 0
2x +1.5y ≥ 500
0.25x +0.20y ≤ 100

A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.

The correct choices are ...

(150, 200)
(180, 100)

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2 years ago

Which expression is equivalent to 100 + 20

san4es73 [151]

Answer:

20(5+1) is equivalent to 100 + 20

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2 years ago

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Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.

stealth61 [152]

Answer:

8.9 cm

Step-by-step explanation:

We have
$\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}$

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