Answer:
It's the third option
Step-by-step explanation:
Function A is a parabola which opens upwards and has a minimum of 3.
The minimum of function A is 3 and the minimum of function B is -2. - 5 less than function A.
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
The range of values of x as shown in the diagram is -9 < x < 15
<h3>Inequality expressions</h3>
Inequality are expressions not separated by an equal sign. The required inequality expression is given as:
|9x - 27| < 108
For the positive inequality
9x - 27 < 108
9x < 108 +27
9x < 135
x < 15
For the negative inequality
-9x + 27 < 108
-9x < 108 - 27
-9x < 91
x > -9
-9 < x
Hence the range of values of x as shown in the diagram is -9 < x < 15
Learn more on inequality here: brainly.com/question/24372553
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Answer:
5
Step-by-step explanation:
Calculate slope by choosing two points. (1, 5) and (2, 10)
slope = (10 - 5) / (2 - 1) = 5/1 = 5
We can solve this problem using discriminant.
x^2-4x-12's discriminant is
(-4)^2-4*-12=16+48 which is clearly larger than 0
This means that it crosses over the axes 2 times.
In case you don't know what discriminant is, its in equation ax^2+bx+c
the discriminant is b^2-4ac.
If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.
Hope this helped at least a little bit :D
