Step-by-step explanation:
The function is given by
It is an absolute value function which has a v- shaped graph.
The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.
Comparing the given equation with this, we have
h = 12
k = -2
Hence, the vertex would be (12,-2).
Now, the range of the function is the set of y values for which the function is defined.
This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.
Hence, the range would be the all y values greater than or equal to -2.
Hence, the range is given by
40/9 *3/8=5/3 zThats the answer
Answer:
The value of b is -42
Step-by-step explanation:
Parallel equations have identical or equal slopes. Given the form of the equation; y=5x+b and the point it passes through (8,-2) we determine the unknown value b by substituting x with 8 and y with -2. We solve the equation; -2 =5(8)+b to obtain b = -42
Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
