Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
r is equal to negative 14.
Step-by-step explanation:
Answer:
Real number 5
Imaginary number 5i
Complex number 2+5i
Step-by-step explanation:
A real number is that number that can be represented on number line
There is no imaginary part in real number
Example of real number is 5
Imaginary number is that in which there is no real part
Example of imaginary number is 5i
When there is a combination of both real and imaginary part then number is called complex number
Example of complex number is 2+5i
Answer:
p
a
+
q
a
−
r
a
+
r
b
−
q
b
−
p
b
Regroup terms.
p
a
−
p
b
+
q
a
−
r
a
+
r
b
−
q
b
Factor
p
out of
p
a
−
p
b
.
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p
(
a
−
1
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Rewrite
−
1
b
as
−
b
.
p
(
a
−
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Factor out the greatest common factor from each group.
Tap for more steps...
p
(
a
−
b
)
+
a
(
q
−
r
)
−
b
(
−
r
+
q
)
Factor the polynomial by factoring out the greatest common factor,
q
−
r
.
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
Factor
a
−
b
out of
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
.
Tap for more steps...
(
a
−
b
)
(
p
+
q
−
r
)
Answer: 65
Step-by-step explanation:
Since the mean mark of the 9 students is 50. Their total marks will be:
= 9 × 50
= 450
Since the marks obtained by 8 students are given, we add the marks together and this will be:
= 60+40+50+30+80+40+45+40
= 385
The score of the 9th student will be:
= 450 - 385
= 65
