Answer:
The inequality represented by the graph is y >
x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
<em>To find the inequality represented by the graph, find at first the equation of the line</em>
∵ The line passes through points (0, -3) and (3, -2)
∴ x1 = 0 and y1 = -3
∴ x2 = 3 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 
∴ m = 
→ Substitute it in the form of the equation above
∴ y =
x + b
∵ b is the y-intercept ⇒ value y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation
∴ y =
x + -3
∴ y =
x - 3
→ Let us change it to inequality
∵ The line is dashed
∵ The shading area is above the line
∴ The sign of inequality should be >
∴ y >
x - 3
∴ The inequality represented by the graph is y >
x - 3
The property that is shown is called the zero property.
Answer:
5. a) 2.140 + 1.725 = 3.865
b) 29.99 + 1.42 = 31.41
c) 6.157 - 1.009 = 5.148
6) 7.4 - 0.0022 = 7.2978 ✅
7.39 - 0.0012 = 7.3888
7. 140minutes / 2 hours and 20 minutes
Answer:
60.717 , because 2.61 + 58.107 = 60.717
Step-by-step explanation:
3. Binomial Formula: ( a + b ) ( a - b ) = a^2 - ab + ba - b^2 = a^2 - b^2
4x^2 - 25 = (2x - 5)(2x + 5)