Answer:
y ≤ 1/3 x - 1.3.
Step-by-step explanation:
First find the equation of the line:
The slope = (-0.3 - (-1.3) / (3 - 0).
= 1/3 so the equation is y = 1/3x + b where b is a constant.
b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).
Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
160x∧5y³ = (x∧4y)b
b = (160x∧5y³)/ x∧4y)
b = 160xy²
Therefore, the base of the triangle is 160xy²
Answer:
The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Divide the 2nd term by the 1st to find the common ratio or n.
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
