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harkovskaia [24]
3 years ago
13

select the polynomial that is a perfect square trinomial. 49x2 − 8x 16 4a2 − 10a 25 25b2 − 5b 10 16x2 −8x 1

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0
16x² - 8x + 1 = (4x)² - 2 · 4x · 1 + 1² =(4x - 1)²

Used: (a - b)² = a² -2ab + b²
Sav [38]3 years ago
5 0

Answer:

16x^2-8x+1=(4x-1)^2  is a perfect square trinomial.

Step-by-step explanation:

Given polynomials

49x^2-8x+16\\\\4a^2-10a+25\\\\25b^2-5b+10\\\\16x^2-8x+1\\

We have to choose the polynomial  that is a perfect square trinomial.

  • Trinomial is the polynomial having three terms.
  • Perfect square trinomial are those polynomial having three terms and can be written as a perfect square that is in the form of (a\pm b)^2

Consider the given polynomials

Since, all have three terms so, every  given polynomial is trinomial.

and for perfect square consider 16x^2-8x+1

This can be written as 16x^2-8x+1=(4x)^2-2\cdot 4x\cdot 1+(1)^2

We know the algebraic identity, (a-b)^2=a^2-2ab+b^2

On comparing a = 4x and b = 1

Thus, 16x^2-8x+1=(4x-1)^2

Thus, 16x^2-8x+1=(4x-1)^2  is a perfect square trinomial.

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a taxi costs 3.00 for every mile traveled, to enter a cab the is an initial charge of 4.50. write an equation where t represents
vodomira [7]

Answer:

t = 4.50 + 3.00m

3 0
2 years ago
he amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and s
sp2606 [1]

Complete question:

He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is

a) less than 8 minutes

b) between 8 and 9 minutes

c) less than 7.5 minutes

Answer:

a) 0.0708

b) 0.9291

c) 0.0000

Step-by-step explanation:

Given:

n = 47

u = 8.3 mins

s.d = 1.4 mins

a) Less than 8 minutes:

P(X

P(X' < 8) = P(Z< - 1.47)

Using the normal distribution table:

NORMSDIST(-1.47)

= 0.0708

b) between 8 and 9 minutes:

P(8< X' <9) =[\frac{8-8.3}{1.4/ \sqrt{47}}< \frac{X'-u}{s.d/ \sqrt{n}} < \frac{9-8.3}{1.4/ \sqrt{47}}]

= P(-1.47 <Z< 6.366)

= P( Z< 6.366) - P(Z< -1.47)

Using normal distribution table,

NORMSDIST(6.366)-NORMSDIST(-1.47)

0.9999 - 0.0708

= 0.9291

c) Less than 7.5 minutes:

P(X'<7.5) = P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]

P(X' < 7.5) = P(Z< -3.92)

NORMSDIST (-3.92)

= 0.0000

3 0
3 years ago
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

3x+2y=2\\2x-y=6

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12

Next, use elimination to find the value of "x":

3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

5 0
3 years ago
Hello any help here?
natima [27]
I sorry I don’t know this one
4 0
3 years ago
A car traveling 120 KM/HR How far away the car travel in 7.2 hours
geniusboy [140]

Answer:

864

Step-by-step explanation:

120 x 7.2 ..................

7 0
3 years ago
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