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MariettaO [177]
3 years ago
8

Find the value of K to complete the square for the quadratic function y=x to the second power - 6x + k PLEASE HELP IT WOULD BE A

PPRECIATED IF U HELPED MEE
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
It’s -k which will be 1 because you need to isolate it
You might be interested in
Why does multiple of 3 add up digits trick work?
kherson [118]
You must be referring to the quick way to determine whether a given integer is divisible by 3; that is, 3 divides an integer x whenever the digits of x sum to a multiple of 3.

Suppose x has n\ge1 digits. We can expand it as a sum of the numbers in any given digits place by the corresponding power of 10. For example, if x=2148, we can write

2148=2\times10^3+1\times10^2+4\times10^1+8\times10^0

More generally, if

x=d_{n-1}d_{n-2}\ldots d_1d_0

(where d_i denotes the numeral in the 10^i-th's place), then we have the expansion

x=d_{n-1}10^{n-1}+d_{n-2}10^{n-2}+\cdots+d_110^1+d_0

Notice that for any integer k, we have

10^k-1=\underbrace{99\ldots99}_{k\text{ 9s}}

which is clearly divisible by 3. So from each power of 10 in the expansion of x, we can add and subtract 1, then rearrange the terms of the sum:

x=d_{n-1}10^{n-1}+\cdots+d_110^1+d_0
x=d_{n-1}(10^{n-1}-1+1)+\cdots+d_1(10^1-1+1)+d_0
x=d_{n-1}(10^{n-1}-1)+\cdots+d_1(10^1-1)+(d_{n-1}+\cdots+d_1+d_0)

We know 10^k-1 is divisible by 3, which means the remainder upon dividing x by 3 is just the sum of the digits of x. If this remainder is divisible by 3, then so must be the original number, x.

Back to our previous example: if x=2148, then we have the expansion

2148=2\times10^3+10^2+4\times10+8
2148=2(999+1)+(99+1)+4(9+1)+8
2148=2\times999+99+4\times9+(2+1+4+8)

Dividing through by 3, we get a remainder of 2+1+4+8=15, which is divisible by 3, and so 2148 must also be a multiple of 3.

In case for some reason you're not convinced 15 is a multiple of 3, you can apply the same trick:

15=10+5
15=9+1+5

Dividing through by 3 leaves a remainder of 1+5=6, which is also a multiple of 3, so that 15 must be, too.
7 0
3 years ago
This year, a small business had a total revenue of $ 62 , 100. If this is 35 % more than their total revenue from the previous y
Olegator [25]

Answer:

$46000

Step-by-step explanation:

if x represents the previous years revenue, and they made 35% more than x, we need to find what 35% of x is and then add it to x to get the new total, so the equation becomes:

x + .35x = 62100

1.35x = 62100

x = 46000

4 0
3 years ago
Read 2 more answers
a dog food company sells its canned dog food to stores for $0.35 per can. one of the stores sells the can of dog food for $0.79.
iris [78.8K]
To answer your question its 27.65
6 0
3 years ago
Help! I don't understand this.
OleMash [197]

Answer:

x > 9.

Step-by-step explanation:

Here it is just simplifying the inequality.

6 - 2/3x < x - 9

Add 2/3x to both sides.

6 < 5/3x - 9

Add 9 to both sides.

15 < 5/3x

Multiply by 3/5.

9 < x

Flip it.

x > 9.

7 0
3 years ago
Read 2 more answers
1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%
vlabodo [156]

The monthly  payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

  • Principal (P): $ 295,000
  • Rate (r): 6.3%  = 0.063
  • Number of times compounded (n): 12months\times15 years = 180
  • Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180\times15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15\times12)

The monthly  payment on the mortgage = 2576.9 (approximately option C)

8 0
3 years ago
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