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kobusy [5.1K]
3 years ago
12

5 n/2= (a + b), for a

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a

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In any function, f(x) = a(x-h)n + k , a negative leading coefficient means the graph is reflected. True or False
Temka [501]

Answer:

True

Step-by-step explanation:

For any function of the form f(x) = a(x-h) ^ n + k the coefficient a produces a reflection of the function whenever a.

We can verify it in the following way.

Take, for example, the function:

f(x) = 2(x-1) ^ 3

Now let's make f(2)

f(2) = 2(2-1)^3\\\\f(2) = 2

Now let's f(2) in the following function:

f(x) = -2(x-1)^3

We have:

f(2) = -2(2-1)^3\\\\f(2) = -2

We can see then that the function was reflected in the axis -y by placing a negative coefficient a.

You can see more examples in the attached images

Therefore we can conclude that the statement is true.

7 0
3 years ago
5. The regular price of a Space Invader game is $52, but it is on sale. The discount is $13. What is percent discount is this?​
pantera1 [17]

Answer:

Discount Percentage is 25%

Step-by-step explanation:

Original Price: $52

Discount Percentage: -25%

Discount: -$13

Final Price: = $39

4 0
3 years ago
Find the solution of the recurrence relation an = 3an−1 −3an−2 +an−3 if a0 = 2, a1 = 2, and a2 = 4.
Shkiper50 [21]

Using the recurrence relation, we can find a couple more values in the sequence:

  • a3 = 3a2 -3a1 +a0 = 3(4) -3(2) +2 = 8
  • a4 = 3a3 -3a2 +a1 = 3(8) -3(4) +2 = 14

First differences are 0, 2, 4, 6, ...

Second differences are constant at 2, so the function is quadratic.

The sequence can be described by the quadratic ...

... an = n² -n +2

_____

We know the value for n=0 is 2, so we can find <em>a</em> and <em>b</em> using the given values for a1 and a2.

... an = an² +bn +2

... a1 = 2 = a·1² +b·1 +2 . . . . for n=1

... a + b = 0

... a2 = 4 = a·2² -a·2 +2 . . . . for n = 2; using b=-a from the previous equation

... 2 = 2a

... a = 1 . . . . so b = -1

5 0
3 years ago
Answer the question in the photo
Lera25 [3.4K]

Answer: 3

Step-by-step explanation:

Take the y coordinates and divide two of them. Example: 6 ÷ 2 = 3

6 0
3 years ago
Which postulate can be used to prove that the triangles are congruent?
vovikov84 [41]
You have two angles congruent, plus a side that's NOT between them.
I guess you'd call that situation " AAS " for "angle-angle-side".
That's what you have, and it's NOT enough to prove the triangles
congruent.  There can be many many different pairs of triangles
that have AAS = AAS.

So there's no congruence postulate to cover this case, because they're
not necessarily.
5 0
3 years ago
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