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

Answers

Answer 1

Answer: to find it it is
ax^2+bx+c
if the first term (a) is 1 then c=b/2
b=-1/4
(-1/4)/2=-1/4 times 1/2=-1/8

k=-1/8

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What is the answer for N+4=6

4/3v =12

Simplify your answer as much as possible.

Answers

$\frac { 4 }{ 3 } v=12\n \n \frac { 3 }{ 4 } \cdot \frac { 4 }{ 3 } v=\frac { 3 }{ 4 } \cdot 12\n \n v=\frac { 36 }{ 4 } \n \n v=9$

4/3v = 12
3/4 × 4/3v = 12 × 3/4
v = 9

What two factors of -21 add up to -20

Answers

1 and -21. Think about it! 1x-21 = -21
-21+1 = -20

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a paycheck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?

Answers

Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.

Answer: $1582.15

Step-by-step explanation:

Please Help!!!

What is the value of g(−3) when g(x)=2x−2?

g(−3)= ________

Answers

g(-3) = 2x - 2 Plug in -3 for x
= 2(-3) - 2 Multiply
= -6 - 2 Subtract
= -8

Find the degree of the monomial. 6x8y5

Answers

Answer:

Step-by-step explanation:

We have been given the monomial $6x^8y^5$

Here the variables are x and y.

In order to find the degree this monomial, we add the exponents of the variables x and y.

Exponent of x = 8

Exponent of y = 5

Therefore, the degree of the monomial is

Degree = exponent of x + exponent of y

Degree = 8 + 5

Degree = 13

. 6x⁸y⁵ ← x is a factor 8 times, and y is a factor 5 times, so the degree is 8+5=13
13

Select one or more expressions that together represent all solutions to the equation. Your answer should be in radians. Assume n is any integer. 16 cos(15x)+8=2

Answers

The value of x is for the given trigonometric function is found as: x = 0.1303 + 1/15 *2nπ.

Explain about the solutions of trigonometric functions?

The fact that too many trigonometric equations have infinitely multiple solutions rather than two makes a significant distinction.
We will learn how to interpret one solution of an equation in terms of all the other answers by using the inverse trigonometric functions.

The given expression is:

16 cos(15x) + 8 = 2

On simplification:

cos(15x) = (2-8)/16

cos(15x) = -3/8

15x = arcos ( -3/8 )

15x = 2π - arcos ( -3/8 )

15x = arcos ( -3/8 ) + 2nπ ;or

15x = 2π - arcos ( -3/8 ) + 2nπ ; n ∈ Z

So,

15x = 1.955 + 2nπ

x = 1/15(1.955 + 2nπ)