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Vesna [10]
3 years ago
8

20 points!

Mathematics
2 answers:
Tasya [4]3 years ago
8 0
Basically, to solve this, we need to use the equation:
x^2 + 6x + 8 = 0
Now, to do this we need to simplify:
(x + 4)(x + 2) = 0
(When you multiply these two, you get x^2 + 6x + 8, you can check)
To make 0, one of these two have to make 0. In this case, one could be -4, and one could be -2
So, x = -4, and x = -2 (-2 is larger, -4 is smaller.)
Knowing this, we need to use -b/2a to find the vertex:
-6/2 = -3
Knowing that x is -3, we input it:
-9 + 18 - 8 = 1
Knowing this, we can say that the vertex is (-3, 1)
tigry1 [53]3 years ago
7 0
You can factor it by considering factors of 8 that add to 6.
  8 = 1·8 = 2·4
The latter pair add to 6, so your factorization is
  f(x) = (x + 2)(x + 4)
This product is zero when one of the factors is zero. There are 2 factors, hence 2 zeros of the function.
For x+2 = 0
  x = -2
For x+4 = 0
  x = -4

The graph of a parabola is symmetrical about its vertex, so the line of symmetry is halfway between the zeros, at x = (-2-4)/2 = -3. The y-coordinate of the vertex is the value of the function at this point,
  f(-3) = (-3+2)(-3+4) = -1

a) Your two separate zeros are
  x = -4 (smaller value)
  x = -2 (larger value)


b) The vertex of the parabola is
  vertex = (-3, -1)

_____
You can use a graphing calculator to answer these questions directly from the graph (or to check your work, as the case may be).

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1 year ago
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Answer:

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Step-by-step explanation:

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2 years ago
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mart [117]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
An arithmetic sequence has a common difference of 5 and the 3rd term is 15. What is the 5th term?
trapecia [35]

Answer:

an=8n−14

Step-by-step explanation:

for an AP

where

a

1

=

the first term

d

=

the common difference

then we have

a

1

,

(

a

1

+

d

)

,

(

a

1

+

2

d

)

,

...

,

a

1

+

(

(

n

−

1

)

d

)

,

.

.

we are given the third term

10

=

a

1

+

2

d

−

−

(

1

)

and the fifth term

26

=

a

1

+

4

d

−

−

(

2

)

subtract

(

2

)

−

(

1

)

16

=

2

d

⇒

d

=

8

sub into

(

1

)

10

=

a

1

+

2

×

8

⇒

a

1

=

−

6

so the nth term

a

n

=

a

+

(

n

−

1

)

will be

a

n

=

−

6

+

8

(

n

−

1

)

a

n

=

8

n

−

14

3 0
2 years ago
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