I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Answer:

17.2 in

Step-by-step explanation:

The formula for arc length is s = rФ.  Here we are to find r.  Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

Answer:

12

Step-by-step explanation:

Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56

Answer:

I believe its the last answer.

Step-by-step explanation:

I think is -7

Step-by-step explanation:

because I calculated I'm not sure tho

Answer:

275 hamburgers was sold on Friday

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

True

Step-by-step explanation:

When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60

i hope that this helps you :)

Answer:

first and last expressions are correct.

Answer:

y > 5/6

Step-by-step explanation:

that's what i got

let me know if it was right

if it was pls mark brainlest

Answer:

y>5/6

Step-by-step explanation:

Got it right

Answer: 48

Step-by-step explanation:

big square is 64, shaded square is 16

64-16= the unshaded region

Answer:

No; it will not double the volume of the box

Step-by-step explanation:

Answer:

A has 263 calories

B has 257 calories

Step-by-step explanation:

system of equations:

a + 2b = 777

2a + b = 783

I multiplied the first equation by -2 to eliminate the 'a' terms

  -2a - 4b = -1554

+ 2a  + b =    783

         -3b = -771

b = 257

solve for 'a'

a + 2(257) = 777

a + 514 = 777

a = 263

Answer:

the answer qould be 4x if you are just simplifying

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

Answer:

i think it would be the first one i am not 100% sure just a gues

Step-by-step explanation:

Answer:

64 quarts of maple syrup needed

Step-by-step explanation:

There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables

16 * 2 = 32 quarts of maple syrup

Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.

32 * 2 = 64 quarts of maple syrup needed

Answer:

4 Quarts

Step-by-step explanation:

You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.

There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.

Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.

16÷2=8

The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.

8÷2=4

The owner needs 4 quarts of maple syrup to fill the bottles.

Answer:

-2x²+490x+2500

Step-by-step explanation:

Given that,

Demand, D(x) = 500-2x

The price for the product, P(x) = x+5

We need to find the revenue for the product. The formula for the revenue is given by :

Revenue = price × demand

Substitute all the values,

R = (x+5)(500-2x)

= 500x -2x² + 2500 -10x

= -2x²+490x+2500

So, the expression for the revenue function is "-2x²+490x+2500".

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

Answer:

24/7

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

4      *      6      =       24                       8

9                                 9                         3

Answer:

○ B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

I don't know sorry but I recommend using quizlet

Answer: 3

Step-by-step explanation:

Find slope of that line which is -1/3x-4

then flip its sign and the equation to get 3

3 : 5

x : 125

125 ÷ 5 = 25

25 × 3 = 75

no. of hens = 75

Answer:

Expression of the statement = 18 - 2x

Answer:

18 - 2x

Step-by-step explanation:

Answer:

9,160,000 tons