Answer:
<h3><u>x < 1.975</u></h3>
Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
<em>Add similar elements: -12.4x + 8x = -4.4x</em>
-4.4x > -0.4x - 5.2 - 2.7
<em>Subtract -5.2 - 2.7: -7.9</em>
-4.4x > -0.4x - 7.9
<em>Multiply both sides by 10</em>
-4.4x · 10 > -0.4x - 7.9 · 10
<em>Refine</em>
-44x > -4x - 79
<em>Add 4x to both sides</em>
-44x + 4x > -4x - 79 + 4x
<em>Simplify</em>
-40x > -79
<em>Multiply both sides by -1 (Reverse the inequality)</em>
-40x (-1) > -79 (-1)
<em>Simplify</em>
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
<em>Simplify</em>
x < ⁷⁹⁄₄₀
<em>Turn the fraction into a decimal</em>
<h3><u>x < 1.975</u></h3>
Answer: Slope = 2/5
Concept:
Here, we need to know how to find the slope.
Slope = (y₂ - y₁) / (x₂ - x₁)
If you are still confused, please refer to the attachment below for a clearer version of the formula
Solve:
<u>Given information</u>
(x₁, y₁) = (-6, 2)
(x₂, y₂) = (4, 6)
<u>Given formula</u>
Slope = (y₂ - y₁) / (x₂ - x₁)
<u>Substitute values into the formula</u>
Slope = (6 - 2) / (4 - (-6))
<u>Simplify values in the parentheses</u>
<u>REMEMBER to change [+, -] signs when there is a [-] sign in front</u>
Slope = 4 / (4 + 6)
Slope = 4 / 10
<u>Divide both numerator and denominator by 2 to get the simplest form</u>
Slope = (4 ÷ 2) / (10 ÷ 2)
Slope = 2/5
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. plug in the numbers in the formula and get the answer for the formula
The slope intercept form is;
y=mx+b
m=slope
b= y intercept