17.Find the value of k that will make 4x² – 12x + k a perfect square trinomial.
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17. Find the value of k that will make 4x² - 1

Answers

Answer 1
Answer:

Solution:

Using formula (a-b)^2 = a^2-2ab+b^2

4x^(2) - 12x + k \n = > (2x) ^(2) - 2(2x)(3) + {3}^(2) \n \n = > {(2x)}^(2) - 2(2x)(3) + 9

Answer:

k = 9

Answer 2
Answer:

Answer:

Using formula (a-b)^2 = a^2-2ab+b^2

4x 2 −12x+k

=>(2x) 2 −2(2x)(3)+3 2

=>(2x) 2 −2(2x)(3)+9

=> k = 9


Related Questions

Find the constant of proportionality for the table and write in the form y = kx.A) y = 9x B) y = 10x C) y = 90x D) y = 1/10x Please give an honest answer = )
A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes. Construct a two by two table using the data given above. Be sure to label the cells and margins. Diabetes Yes No Smoking Yes a b No с d Total
Cindy typed 200 words in 5 minutes. At this rate, how many words can she type in 25 minutes?
10t less than 112 is what
Name the vertex ot XYZ.

I need urgent help with this

Answers

Answer:

Step-by-step explanation:

The inverse relation

x           y

5          -2

-3          4

1             6

-1            8

What is the measure of angle d?
A. d=59
B. d=114
C. d=55
D. d=66

Answers

Answer:

A. d = 59°

Step-by-step explanation:

We know that the 3 angles added up together are a straight line or 180°. Therefore,

m∠d° = 180 - (57 + 64)

Answer: D. 59

Step-by-step explanation:

57 + 64 + d = 180°

121 + d = 180°

180 - 121 = 59°

Hope this helps!

3x/8=4.5/4 Solve the equation/find x

Answers

Answer:

x=3

Step-by-step explanation:

The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?A) 18

B)24

C)30

D)36

Answers

Answer:

24 years.

B is correct option.

Step-by-step explanation:

Let Sunita's current age is x and that of Mark's is y.

Hence, we have

(x)/(y)=(3)/(4)\n\nx=(3)/(4)y.......(1)

Now, in 12 years the ratio will be 5 to 6. Thus, we have

(x+12)/(y+12)=(5)/(6)

Cross multiplying, we get

6x+72=5y+60

Plunging, the value of x from equation (1)

6((3)/(4)y)+72=5y+60\n\n(9y)/(2)+72=5y+60\n\n(y)/(2)=12\n\ny=24

Therefore, Mark's current age is 24 years.

Mark's current age is 24  


Annabelle spent $5 to buy 4 raffle tickets.how many tickets can she buy for $20

Answers

She can buy 16 tickets.
$5 = 4 tickets so $20 = 16 tickets

Suppose the sequence StartSet a Subscript n Baseline EndSet is defined by the recurrence relation a Subscript n plus 1equalsnegative 2na Subscript n​, for nequals​1, ​2, 3,..., where a1equals5. Write out the first five terms of the sequence.

Answers

Answer:

-10, 40, -240, 1,920 and -19, 200

Step-by-step explanation:

Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.

when n= 1;

aₙ₊₁ = -2naₙ

a₁₊₁ = -2(1)a₁

a₂ = -2(1)(5)

a₂ = -10

when n = 2;

a₂₊₁ = -2(2)a₂

a₃ = -2(2)(-10)

a₃ = 40

when n = 3;

a₃₊₁ = -2(3)a₃

a₄ = -2(3)(40)

a₄ = -240

when n= 4;

a₄₊₁ = -2(4)a₄

a₅ = -2(4)(-240)

a₅ = 1,920

when n = 5;

a₅₊₁ = -2(5)a₅

a₆ = -2(5)(1920)

a₆ = -19,200

Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200