The solution is C. Let’s start by identifying the equations without inequalities. Since there's a dotted line at y = 1, options A and B can be disregarded. Dotted lines indicate exclusivity, so they do not encompass the = sign. Therefore, the answer must be C.
Answer:
y = x - 3
Step-by-step explanation:
4x - 5 = 7 + 4y subtracting 7 from each side
4x - 12 = 4y
then dividing every term by 4
x - 3 = y
According to the definition, the volume is indicated by
V = h * w * l
where
V: Volume
h: height
w: width
l: length
By solving for height, we get:
h = V / (w * l)
h = (5 - x) / ((x) * (x - 2))
The expression is undefined for x values that cause the denominator to equal zero:
((x) * (x - 2)) = 0
x = 0
x = 2
Answer
h = (5 - x) / ((x) * (x - 2))
x = 0
x = 2
Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.
The angle C calculates to 180-53-17=110°
Thus, we have 27/sin53=b/sin17=c/sin110
This leads to b=27sin17/sin53, c=27sin110/sin53
The perimeter is defined as a+b+c, so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (rounded to the nearest hundredth of a unit)
Answer:
The regression line is not an appropriate model due to the existence of a pattern in the residual plot.
Step-by-step explanation:
A residual plot has been provided for a certain data set.
The residual plot indicates a scatter relationship between x and y.
The plotted points demonstrate that a linear relation is unlikely; it appears to be more parabolic or exponential in nature.
This suggests the regression line is not a suitable model as the residuals do not converge towards 0.
Additionally, a linear trend pattern is absent.
D) The regression line is not a suitable model as it exhibits a pattern in the residual plot.