Answer:
29) discriminant is positive
30) discriminant is 0
31) discriminant is negative
Step-by-step explanation:
the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.
In the graph of question number 29 we can see that the graph intersects the x axis at two points
so the equation has 2 solutions.
When the equation has two solution then the discriminant is positive
In the graph of question number 30 we can see that the graph intersects the x axis at only one point
so the equation has only 1 solution.
When the equation has only one solution then the discriminant is equal to 0
In the graph of question number 30 we can see that the graph does not intersects the x axis
so the equation has 2 imaginary solutions.
When the equation has two imaginary solutions then the discriminant is negative
Recall that the formula for the perimeter of a rectangle is: 2Length+2Width
With this in mind, we have that the original design is 96×60, where 90 is length and 60 is width, so it would simply be:
2(96+l) + 2 (60+w) = New Perimeter
Or simplified, it'd be:
2l + 2w + 312 = New Perimeter
Answer:
a+b=6
a-b =4
______subtract
(a-a)+(b-(-b))=6-4
0+2b = 2
b= 1
put the value of b at any equation
a+1 =6
then a=6-1=5
a square+b square= 25+1= 26
According to the function transformations, the value of h is -2
<h3>How to determine the value of h?</h3>
The complete question is in the attachment
The functions are given as:


From the question, we understand that the function f(x) is translated to the left to get g(x)
From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).
This transformation is represented by:
(x, y) => (x + 2, y)
So, we have:
x - h = x + 2
Evaluate the like terms
h = -2
Hence, the value of h is -2
Read more about function transformations at:
brainly.com/question/3381225
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