729, <span>â6561 is the answer</span>
Answer:
<u>infinitely many solutions</u>
Step-by-step explanation:
The system of equations :
- 3x + 2y = 7
- -4.5x - 3y = -10.5
Multiplying Equation 1 times 3 and Equation 2 times 2 :
- 9x + 6y = 21
- -9x - 6y = -21
Putting the equations in standard form after simplifying :
- 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
- -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>
<u />
As both equations are the same, the system will have <u>infinitely many solutions</u>.
Step-by-step explanation:
<em><u>5</u></em><em><u>x</u></em><em><u>+</u></em><em><u>4</u></em><em><u><</u></em><em><u>1</u></em><em><u>6</u></em>
<em><u>or</u></em><em><u>,</u></em><em><u>5</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>6</u></em><em><u>-4</u></em>
<em><u>or</u></em><em><u>,</u></em><em><u>5</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>2</u></em>
<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>12</u></em><em><u>÷</u></em><em><u>5</u></em>
<em><u>o</u></em><em><u>r</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>2</u></em><em><u>/</u></em><em><u>5</u></em>
<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>
<em><u>:</u></em><em><u>.</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>
Answer:
Step-by-step explanation:
By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that
f'(c) = [f(6) - f(1)]/ (6 - 1)
So, f(6) - f(1) = 5f'(c).
Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20
So, f(6) - f(1) is between 10 and 20.
