The situation which is not possible about the pencils in her box is; Choice B: The longest pencil in the box is 8cm long.
<h3>Mean and Measure of central tendency</h3>
By convention, the mean is a statistical measure of central tendency.
On this note, if the mean of a set of data values is 10, this means the data values have data points greater, equal and less than the mean value.
- On this note, it is impossible to have the longest pencil in the box to have a length, 8cm.
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Answer:
Solution
Correct option is C)
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
Answer:
18+45x
Step-by-step explanation:
Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
Answer:
The third equation: 
Step-by-step explanation:
The two points on the line are
and
.
Slope of the line passing through two points
and
is given as:

Here,
and
are
and
.
Therefore, slope is equal to, 
Now, equation of a straight line with slope m and points
and
is given as:

Now, if we use the 2nd form, then
.
So, the equation is given as :