Answer:x = 56
Step-by-step explanation:
180-(60+64)=56
Answer:
10 gallons of juice
Step-by-step explanation:
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
Hello the answer would be approximately 394.57 good luck with the test
Answer:
f(x) = -3(x - 5)^2 + 4
vertex (5,4)
Step-by-step explanation:
f(x) = -3x² +30x - 71
f(x) = -3(x² +-10x) - 71
f(x) = -3(x² +-10x+5^2-5^2) - 71
f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71
f(x) = -3(x² +-10x+5^2) + 4
f(x) = -3(x - 5)^2 + 4
vertex (5,4)