Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
g (x + 5) = (x + 5) 2 + 3 (x + 5) - 4
Rewriting we have:
f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4
f (x) = x ^ 2 + 13x + 36
Equaling zero we have:
x ^ 2 + 13x + 36 = 0
We look for the roots of the polynomial:
(x + 9) (x + 4) = 0
x1 = -9
x2 = -4
Answer:
The zeros of the new function are:
x1 = -9
x2 = -4
Answer:
15 samples
Step-by-step explanation:
The total sample space consists of 6 items
{79,64,84,82,92,77}
So,
n=6
The instructor has to randomly select 2 test scores out of 6.
So, r=6
The arrangement of scores selection doesn't matter so combinations will be used.
Therefore, there are 15 different samples are possible without replacement ..
Answer:
C
Step-by-step explanation:
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Answer:
Step-by-step explanation:
The ratio of boys to girls is
7
:
11
, and there are
49
boys, so therefore there are
49
7
⋅
11
=
77
girls
Total number of boys and girls in the classroom is
77
+
49
=
126
.
