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Assoli18 [71]
4 years ago
13

t; 3 " alt="3 - \frac{x}{2} < 3 " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Sergio [31]4 years ago
8 0
The first step for solving this is to cancel equal terms on both sides of the inequality.
- \frac{x}{2} < 0
Now multiply both sides of the inequality by -2 and flip the inequality sign.
-2 × (- \frac{x}{2}) > -2 × 0
Remember that multiplying two negatives together always equals a positive,, so the expression changes to the following:
2 × \frac{x}{2} > -2 × 0
Reduce the numbers with 2.
x > -2 × 0
Any expression multiplied by 0 equals 0,, so the correct answer to your question will be:
x > 0
Let me know if you have any further questions.
:)
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The formula for an arithmetic series is shown below, where n = 1, 2, 3 ...
lisov135 [29]

Answer:

4th term = 28

5th term =  37

6th term = 45

Step-by-step explanation:

f(n + 1) = f(n) + 8

f(1) = 5

f(1 + 1) = f(1) + 8 = 5+8 = 13

f(2) = 13

f(2 + 1) = f(2) + 8 = 13+8 = 21

Thus, series is 5, 13, 21......

In arithmetic series

Nth term is given by

n th term = a + (n-1)d

where a is the first term

and d is the common difference.

common difference d = nth term - (n-1)th term

For this series

a = 5

lets take nth term as 2nd term and 1st term as (n-1)th term

d = 13-5 = 8

n th term = a + (n-1)d

using the formula for nth term

4th term = 5 + (4-1)8 = 29

5th term = 5 + (5-1) 8= 37

6th term = 5+ (6-1)8 = 45

Thus, 4th term = 28

5th term =  37

6th term = 45

Note this, problem can be solved using f(n + 1) = f(n) + 8 by putting n = 3,4,5 as well but for learning concept of arithmetic series, i have used above process. Hope it helps.

5 0
3 years ago
( 3x^2-2x+1) + (4x^2+3x+2)
Alekssandra [29.7K]

Answer:

7x² + x + 3

Step-by-step explanation:

Step 1: Write expression

(3x² - 2x + 1) + (4x² + 3x + 2)

Step 2: Combine like terms

7x² + x + 3

6 0
3 years ago
Read 2 more answers
Write an equation for the circle with center(-1,-5) and Radius 4sqrt3
irina [24]

Answer:

(x + 1)² + (y + 5)² = 48

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 1, - 5) and r = 4\sqrt{3}, so

(x - (- 1))² + (y - (- 5))² = (4\sqrt{3} )², that is

(x + 1)² + (y + 5)² = 48 ← equation of circle

7 0
3 years ago
Is x=-2 a positive slope
victus00 [196]

Answer:

No

Step-by-step explanation:

x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.

Best of Luck!

7 0
3 years ago
Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event
victus00 [196]

Answer:

{A and B are independent events}, P(A|B)=P(A)=0.16

Step-by-step explanation:

First of all we need to know when does two events become independent:

For the two events to be independent,  P(A|B)=P(A) that is if condition on one does not effect the probability of other event.

Here, in our case the only option that satisfies the condition for the events to be independent is  P(A|B)=P(A)=0.16.. Rest are not in accordance with the definition of independent events.

3 0
3 years ago
Read 2 more answers
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