Answer:
x = 
Step-by-step explanation:
Given a quadratic in standard form, ax² + bx + c : a ≠ 0
Then the axis of symmetry is a vertical line with equation x = h
where h is the x- coordinate of the vertex.
The x- coordinate of the vertex is
= - 
f(x) = 5x² - 3x + 5 ← is in standard form
with a = 5 and b = - 3, thus
= - 
=
Thus the equation of the axis of symmetry is x =
The measures of the angles of the isosceles triangle are 55, 55 and 70.
Explanation:
An isosceles triangle has two congruent base angles and a vertex angle.
Let
b
=the measure of one of the base angles.
Let
v
=
the measure of the the vertex angle.
The vertex angle is 40 degrees less than the sum of the base angles.
v
=
b
+
b
−
40
=
2
b
−
40
The sum of the measures of the angles of a triangle is 180.
b
+
b
+
v
=
180
Substitute
2
b
−
40
for
v
.
b
+
b
+
2
b
−
40
=
180
4
b
−
40
=
180
+40+40
Combine like terms.
Add 40 to both sides.
4b=220
Divide by 4
4
b/4
=
220
/4
b
=
55
v
=
2
b
−
40
v
=
2
(
55
)
−
40
=
70
Answer:
X² - 14x + 48= 0
Step-by-step explanation:
To find the quadratic equation well have to look for the root of the equation.
So the roots are at x= 6 and x= 8
The quadratic curve didn't pass the origin .
It intercepted the x axis at 6 and 8 and that's the roots.
So our equation is
(X-6)(x-8)= x²-8x -6x +48
X² - 14x + 48= 0
Answer:
x=17, y=9. (17, 9).
Step-by-step explanation:
x+y=26
3x+8y=123
------------------
x=26-y
3(26-y)+8y=123
78-3y+8y=123
78+5y=123
5y=123-78
5y=45
y=45/5
y=9
x=26-9=17
Explanation:
Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).
This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.
