First do the ones in the parentheses. So, 2x3=6. 26-6=20. 20^2=400. Now you have 27-4x400. 4x400=1600. 27-1600=-1573.
f(-9) means x is -9
Replace x with -9 and solve:
2/3(-9) - 6
Simplify:
-6 - 6 = -12
f(-9) = -12
Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
The larger number is 17
<em><u>Solution:</u></em>
Let "x" be the larger number
Let "y" be the smaller number
<em><u>The difference between of two numbers is 9</u></em>
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
<em><u>The large number is one more than twice the smaller number</u></em>
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
<em><u>Substitute y = 8 in eqn 1</u></em>
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
Use you graphing calculator in the y equals button
