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3 years ago

What value of k makes the trinomial x^2- 10x + k a perfect square?

Mathematics

1 answer:

Advocard [28]3 years ago

3 0

Answer: 25

Step-by-step explanation: (x-a)² = x² - 2ax + a²

From x² - 10x + k we deduce that 10x = 2·5x and a = 5

Then k = 5²2

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Proportional or nonproportional? (in graph)

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Answer: Proportional

Step-by-step explanation:

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3 years ago

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The first term in the expansion of the binomial (3x y)4

ExtremeBDS [4]

$(3xy)^4=3^4x^4y^4=\boxed{81x^4y^4}$

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3 years ago

One marble is selected at random from a bowl containing 15 blue marbles and 12 red marbles. What are the odds of selecting a blu

lana [24]

Answer:

5/9

Step-by-step explanation:

You put the total amount of blue marbles over the total number of marbles and you get 15/27, which simplifies to 5/9

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The convenience store sells a 16-ounce bottle of water for $2.40 and a 28-ounce bottle of water for $2.80. Tiana wants to compar

mezya [45]

Answer:

The cost of 16 ounce bottle would be .15 cents per ounce = $2.40

Step-by-step explanation:

2.40/16= .15

2.80/28= .10

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2 years ago

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

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3 years ago

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