Answer:
the answer will be B
Step-by-step explanation:
It does increase
See the explanation
<h2>
Explanation:</h2>
A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:
The given line is:
If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:
So a system of two linear equation that is consistent and dependent is:
<h2>Learn more:</h2>
Graph of lines: brainly.com/question/14434483#
#LearnWithBrainly
Answer:
110 yards of string
Step-by-step explanation:
Converting the feet of the string of 1 balloon to yard
1 foot = 1/3 yard
6 feet = x
x = 6 × 1/3 yard
x = 2 yard
Hence 1 balloon uses 2 yard of string
Since:
1 balloon = 2 yard of string
55 ballons = x
x = 55 × 2 yard of string
x = 110 yards of string
Hence, for 55 balloons he would need 110 yards of string.
1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
1. 2√2
2. √5
3. 5√3
4. 10
5. 4√2
6. 3√5
7. 4√3
8. 5√5
9. 3√2
10. 3√3
11. 4
12. 6
13. 5√2
14. 2√3
