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3 years ago

12

Drag each rational number to the correct location on the table.

1 answer:

andrey2020 [161]3 years ago

3 0

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

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For what values of a is the sum of the fractions 2a−1/4 and a−1/3 positive?

Elenna [48]

$\left(2a-\dfrac{1}{4}\right)+\left(a-\dfrac{1}{3}\right) > 0\\\\(2a+a)-\dfrac{1}{4}-\dfrac{1}{3} > 0\\\\3a-\dfrac{1}{4}-\dfrac{1}{3} > 0\qquad|\cdot12\\\\12(3a)-12\left(\dfrac{1}{4}\right)-12\left(\dfrac{1}{3}\right) > 0\\\\36a-3-4 > 0\\\\36a-7 > 0\qquad|+7\\\\36a > 7\qquad|:36\\\\a > \dfrac{7}{36}$

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3 years ago

How do i do these using the following functions

attashe74 [19]

Step-by-step explanation:

(f+g)(x) means f(x) + g(x).

(f−g)(x) means f(x) − g(x).

So all you have to do is add them and subtract them.

1. (f+g)(x) = f(x) + g(x)

(f+g)(x) = (3x − 7) + (2x − 4)

(f+g)(x) = 5x − 11

2. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (3x − 7) − (2x − 4)

(f−g)(x) = 3x − 7 − 2x + 4

(f−g)(x) = x − 3

3. (f+g)(x) = f(x) + g(x)

(f+g)(x) = (2x + 3) + (x² + ½ x − 7)

(f+g)(x) = x² + 2½ x − 4

4. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (2x + 3) − (x² + ½ x − 7)

(f−g)(x) = 2x + 3 − x² − ½ x + 7

(f−g)(x) = -x² + 1½ x + 10

6 0

3 years ago

Evaluate the geometric series

JulijaS [17]

Answer:

Option B is correct.

sum of given geometric series is, 255

Step-by-step explanation:

Evaluate the geometric series: $\sum_{i=1}^{8} 2^{i-1}$

we can write this as:

$1+2+4+.......+128$

Formula for the sum of the geometric series:

$S_n = \frac{a(r^n-1)}{r-1}$ for r > 1

where

a is the first term

n is the number of terms

r is the common ratio

In the given series:

common ratio (r) = 2>1, n = 8 and first term(a) = 1

Since,

$\frac{2}{1} = 2$

$\frac{4}{2} = 2$ and so on...

then substitute the given values in [1] we have;

$S_n = \frac{1((2)^8-1)}{2-1}$

or

$S_n = 256-1 = 255$

Therefore, the sum of given geometric series is, 255

6 0

3 years ago

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PLEASE HELP<br> What is the slope of the line in the graph?

goldenfox [79]

Answer:

-3/4

Step-by-step explanation:

rise is three run is four

5 0

3 years ago

Which expression is equivalent to

bazaltina [42]

Answer:

<h2><em><u>c</u></em></h2>

Step-by-step explanation:

6m+9q-3mq+4m= 10m + 9q - 3mq = C

7 0

3 years ago

Read 2 more answers