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ipn [44]
4 years ago
12

The function g(n) = n2 − 16n + 69 represents a parabola.

Mathematics
1 answer:
miss Akunina [59]4 years ago
5 0
Hello : 
<span>g(n) = n2 − 16n + 69
       =( n²-16n+64)-64 +69.....(</span><span> completing the square)
</span>g(n) = (n-8)² +5...... (<span>the vertex form)
the vertex is : (8,5)
</span><span>the axis of symmetry is the line : n = 1</span>
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topjm [15]
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4 0
3 years ago
Matt started doing extra chores around the house and his allowance changed from $30 per week to $40 per week. What is the percen
slega [8]

Answer:

33.3%

Step-by-step explanation:

Let's say the percent change is x%. Then the equation is:

30 + x% * 30 = 40

Subtract 30 from both sides:

x% * 30 = 10

Divide by 30:

x% = 10/30 = 1/3

Remember that % simply means "out of 100", so:

x/100 = 1/3

Multiply both sides by 100:

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3 0
3 years ago
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AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0
4 years ago
What is the pattern here?
tigry1 [53]
To get the number at the back, you would need to multiply the number in front by 3 and minus 1.
The answer would be A
8 0
3 years ago
I am really lost I need help
jeka57 [31]
#3 is 2/4
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and those are the only ones I know
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4 0
3 years ago
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