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yulyashka [42]
3 years ago
7

A quadratic equation is shown below:

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0
16x^2 − 8x + 1 = 0

<span>Part A: 
</span>b^2 - 4ac for ax^2 + bx + c

16x^2 − 8x + 1 = 0
so in this case,
a = 16,  b = -8, c = 1

b^2 - 4ac
=(-8)^2 - (4 * 16* 1)
= 64 - 64
= 0
because it's equal 0, answer is one solution

Part B:

<span>4x^2 − 8x − 45 = 0
</span><span>solve the equation by factoring </span> 
= (2x - 9)(2x + 5)

set (2x - 9)(2x + 5) equal to 0 to solve for x
so
(2x - 9)(2x + 5) = 0
2x - 9 = 0
  x = 9/2
  x = 4.5

2x + 5 = 0
  x = -5/2
  x = -2.5
answer
x = -2.5 or x = 4.5

Hope it helps



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Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to
Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

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miniwebtoolcomgeometricsequencecalculator

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3 years ago
Please help meeee &gt; THANK YOU!!!!!
vovikov84 [41]

Answer:

39.   An adult male Western Banded Gecko is 5 1/2 (or 5.5) inches long.

41.    13,000 feet long, because 1 4/9 of 9,000 is 13,000.

43.  to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that the inequality does not hold, so,

35/50 >= 3/4

does not hold either, therefore the Constitution cannot be ammended

40.  10 students play chess and sudoku,

30*2/5 is 12, out of 12; the number of students that play chess,5/6 play sudoku.

So..12*5/6 is 10 and that is the number of students that play both sudoku and chess.

42. Four fifths of 7/8 will be less than 7/8 (because you've multiplied by a number less than 1).

Similarly, 7/8 of 4/5 will be less than 4/5.

This means that the product will be less than each of the original factors.  

answer: no

44.  The answer is 7/12 because 3/4 - 1/6= 7/12

3/4 converts to 9/12 and 1/6 converts to 2/12. The domanaters stay the same, but 9-2=7. that is how you get 7/12

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Drupady [299]

Answer:  d(r) = 5(0.87)^r

Step-by-step explanation:

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Answer: 6. x=29yd 7. x-6.5cm


Step-by-step explanation:

6. All the sides of the square are equal (we know this because of the little lines on the sides), and the equation for finding the hypotanuse of a triangle is a^2+b^2=c^2. That's 20^2+21^2=x^2. That simplifies to 841^2=x^2, which then simplifies to x=29.


7. The bottom of the triangles are the same length, so each one is 2.5cm long. The angles are also the same, which means that the triangles are equal, so we have 2 similarities between the triangles, so they are both the same (You'll learn why later in math)

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