Which value of K will make x^2-1/4x+k a perfect square trinomial?

Answers

Answer 1

Answer: For this case we have the following polynomial:
$x^2 - (1)/(4)x + k$
We suppose that we have a standard equation of the form:
$ax ^ 2 + bx + c$
To make a perfect square trinomial, we need to complete the square.
Therefore, the value of c is:
$c = ((b)/(2))^2$
Using this definition for this case, we have:
$k = (((-1)/(4))/(2))^2$
$k= ( (-1)/(8) )^2$
$k = (1)/(64)$
Therefore, the perfect square trinomial is:
$x^2 - (1)/(4)x + (1)/(64)$
Answer:
The value of k is:
$k = (1)/(64)$

Answer 2

Answer: 1/64, because (-1/4)/2 is -1/8, and -1/8 ^2 is 1/64

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What is the degree of each monomial?
-9

a. -8
b. 0
c. -10
d. -9

Answers

Any monomial without a written exponent has a degree of 1.

$-9^1=-9$

it is (D) = -9 $9^(-1) = -9$

Solve the following problem: 28 – 18 – 10.
A. 0
B. 18
C. 8
D. 10

Answers

28 - 18 - 10
10 - 10
0

The answer is A.

A) 28-18
↓
10-10
↓
0. <<< answer.

At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.

Answers

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

To find 61x1,000,place zeros on the end of to form the product_.

Answers

Answer:

place 3 zeros at the end of 61 = 61,000 to form the product.

Step-by-step explanation:

Josiah and his friends are going to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for the entire purchase. He has $75. If he buys 4 tickets, how many bags of popcorn can he buy? if x=number of tickets and y=number of popcorn which of the following inequalities would you use to answer the problem?A x+y=75
B 10x+5y+3≤75
C 10x+5y≤75
D 10x+5y+3≥75

Answers

Answer:

Step-by-step explanation:

If each ticket costs $10 and each popcorn costs $5, with x = number of tickets and y = number of popcorn and $3 the service we have

10x+5y+3 = total cost.

Now, he has a total of $75 and he buys 4 tickets so

10(4)+5y+3 = 75

40+5y+3 = 75

43+5y=75

5y = 75-43

5y = 32

y = 32/5 = 6.4 ≈ 6 popcorn.

Then, he can buy 6 popcorns. Now, to find the inequality we need to know that if he has $75, the total cost can't exceed $75, that is, the total cost needs to be less or equal to $75.

10x+5y+3 ≤75.

B
Because if x equals the number of tickets the it would be 10 X x. Same with the popcorn. for example: x=5 And y =3. it would be
10(5)+5(3)+3=$68

I need help with this question!

Answers

2. Jayden ran a whole mile in one hour

Answer:

1: 3 miles

2: 1 mile

Step-by-step explanation:

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