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3 years ago

Which polynomial is a perfect square trinomial?

1 answer:

8 0

A polynomial is a perfect square trinomial if in form

a^2x^2-2ab+b^2

look at each

we can eliminate A and B since we have -b^2 not +b^2

look at the rest

C. 5^2b-3*5*b+3^2
nope

D. 4^2x^2-2*4*3x+3^3
yes

answe is D (factors to (4x-9)^2)

You might be interested in

Suppose that the useful life of a car battery, measured in months, decays with parameter 0.03 . We are interested in the life of

scZoUnD [109]

Answer:

a) X ~ $e(0.03)$

b) μ = 100/3

c) $\sigma = 100/3$

d) A battery is expected to last 100/3 months (33 months and 10 days approximately).

e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).

Step-by-step explanation:

a) The life of a battery is usually modeled with an exponential distribution X ~ $e(0.03)$

b) The mean of X is μ = 1/0.03 = 100/3

c) The standard deviation is $\sigma = 1/0.03 = 100/3$

d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.

e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.

4 0

3 years ago

In rhombus ABCD, DB=16 and AC=12. What is the perimeter of rhombus ABCD?

riadik2000 [5.3K]

DB+ DC= 32
AC+ AC =24
32+24
56

4 0

3 years ago

Factor the expression using the GCF.<br><br> 14x−98

pashok25 [27]

Answer: 14(x−7)

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Please help solve the inequality.

gulaghasi [49]

Answer:

Are there two you're asking for?

#2: x ≥ 9

#3: x > -2

Step-by-step explanation:

#2 Work:

x - 13 ≥ -4

Step 1: Add 13 to both sides

x - 13 + 13 ≥ -4 + 13

Add -4 and 13 to get 9.

x ≥ 9

#3 Work:

x/2 > -1

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same

x/2 * 2 > -1 * 2

x > -2

5 0

2 years ago

Factor 2m^3-12m^2+18m completely

Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

$2 {m}^{3} - 12 {m}^{2} + 18m$

$= 2( {m}^{3} - 6 {m}^{2} + 9m)$

$= 2m( {m}^{2} - 6m + 9)$

Next you have to factorise the brackets :

${m}^{2} - 6m + 9$

$= {m}^{2} - 3m - 3m + 9$

$= m(m - 3) - 3(m - 3)$

$= (m - 3)(m - 3)$

$= {(m - 3)}^{2}$

So the final answer is :

$2m {(m - 2)}^{2}$

6 0

3 years ago

Read 2 more answers