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den301095 [7]
3 years ago
5

For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive term

s of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, –3, 2, 5, –4, –6 ? One
Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer: the number of variations in sign = 3

Step-by-step explanation:

Let the finite sequence 1, –3, 2, 5, –4, –6 , the only pairs of consecutive terms for which the product of the two consecutive terms is negative are :

{1, –3} ; {–3, 2}; {5, –4} then

the number of variations in sign = 3

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Square root 15*3sqyare root 81y
Deffense [45]
<span>No simplification exists, Root remains :
</span>sqrt(15y) 
7 0
3 years ago
Find the student’s error in solving the following inequality.
Mars2501 [29]

Answer:

The correct option is:

The student should have switched the direction of the inequality sign to get –5> x for a final answer

Step-by-step explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality  reverse its direction.

In step 3 the student divided 25 by -5 but did not  switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer

5 0
3 years ago
Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c
Ainat [17]

Answer:

y=x+1

Step-by-step explanation:

first find the slope using the two coordinates:

use the slope formula- m=y^2-y^1/x^2-x^1

6-2/5-1

=4/4

=1

y=mx+b

now plug in one of the coordinates, and the slope we just found into the slope intercept formula

2=1(1)+b

2=1+b

subtract 1 from both sides

1=b

1=b; m=1,

y=x+1

5 0
3 years ago
Alexis G. has a cell phone plan that charges $0.05 per minute plus a monthly fee of $25.00. She budgets $35.50 per month for tot
jeyben [28]
The Maximum amount of minutes she could use would be 210

Formula:
0.05x + 25 <= 35.50
6 0
3 years ago
The numbers that satisfy the equation a =5.
madam [21]
<h2>Explanation:</h2>

We use an equation to say that two things are equal. An equation always has an equal sign "=". So an equation tells us that the left side is equal to the right side. In this case, we have the following equation:

a =5

So the only value that makes this equation to be true is 5, because:

5=5

For instance, let's choose another value, say, 8. So substituting:

6 =5 \ \text{So this statement is false because} \ 6\neq 5

5 0
3 years ago
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