All categories

3 years ago

I could use some help doing this simple math problem lol.

Mathematics

1 answer:

alexira [117]3 years ago

7 0

$D:k-9\geq 0 \wedge k\geq0\\
D:k\geq 9 \wedge k\geq0\\
D:k\geq 9\\
\sqrt{k-9}-\sqrt k=-1\\
\sqrt{k-9}=-1+\sqrt k\\
k-9=(-1+\sqrt k)^2\\
k-9=1-2\sqrt k+k\\
2\sqrt k=10\\
\sqrt k =5\\
k=25

$

You might be interested in

HELP 50 POINTS need this so my mom doesn't yell at me

Citrus2011 [14]

Answer:

1. so (1,-10) passes both equations

2. The dotted line is the line y > -x+3 and the solid line is y ≤ 2x -2

3. The solid line is the line y≤ -x+2 and the other solid line is y ≤ -3x +2

Step-by-step explanation:

y≤x-5

y≤-x-4

Substitute the points in and see if they work

(1,10)

10 ≤1-5 10 ≤-4 False

10 ≤-1-4 10 ≤-5 False

so (1,10) Fails both equations

(-1,10)

10 ≤-1-5 10 ≤-6 False

10 ≤1-4 10 ≤-3 False

so (-1,10) Fails both equations

(10,1)

1 ≤10-5 1 ≤5 True

1 ≤-10-4 1 ≤-14 False

so (10,1) Fails one equations

(1,-10)

-10 ≤1-5 -10 ≤-4 True

-10 ≤-1-4 -10 ≤-5 True

so (1,-10) passes both equations

2. The dotted line is the line y > -x+3 and the solid line is y ≤ 2x -2

The dotted line means less than or greater than. It is shaded above so it is greater than. The y intercept is 3. The slope is down 1 to the right one (-1/1) y> -x+3

The solid line means greater than or equal to or less than or equal to. Since it is shaded below it means less than or equal to. The y intercept is -2. The slope is up 2 to the right one (2/1) y≥ 2x-2

3. The solid line is the line y≤ -x+2 and the other solid line is y ≤ -3x +2

The solid line means greater than or equal to or less than or equal to. It is shaded below so it is less than or equal. The y intercept is 2. The slope is down 1 to the right one (-1/1) y≤ -x+2

The solid line means greater than or equal to or less than or equal to. Since it is shaded below it means less than or equal to. The y intercept is 2. The slope is down 3 to the right one (-3/1) y ≤ -3x +2

8 0

3 years ago

Read 2 more answers

A scale drawing of a rectangular room has a length of 6 inches and a width of 4 inches. The drawing uses a scale of 1 inch to 3

Strike441 [17]

Since, an inch is to 3 feet, the length would be 18 feet and the width would be 12. To get the area, multiply length and width. The product would be 216 square feet. If a square foot costs $5, 216 square foot multiplied to $5 would be $1080 which is the cost to carpet the room.

8 0

3 years ago

hi so i have no idea what combining like terms means, or how to do it. can someone help explain, with examples?

Marina CMI [18]

Answer:

Combining like terms is a mathematical process used to simplify an expression or to add or subtract polynomials.

Step-by-step explanation:

How do I combine like terms?

1. Step 2: Combine the coefficients.

2. 5h + 11g + 1h - 8g.

3. (5 + 1)h + (11 - 8)g.

4. 6h + 3g.

5. Step 1: Organize your like terms.

6. 5x + 8x + 10x2 - 7x2 - 4x.

7. Step 2: Combine the coefficients. (5 + 8 - 4)x + (10 - 7)x2 9x + 3x2

3 0

3 years ago

Read 2 more answers

Please help I don't know how to do this

OverLord2011 [107]

You literally just need to click yes then call it a day it’s simple don’t worry too much :D

6 0

3 years ago

Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of

natali 33 [55]

Answer:

98% confidence interval: (29.25,38.87)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 34.06

Sample size, n = 134

Sample standard deviation, s = 23.83

a) 98% confidence interval

$\bar{x} \pm z_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33$

$34.06 \pm 2.33(\frac{23.83}{\sqrt{133}} ) = 34.06 \pm 4.81 = (29.25,38.87)$

b) If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%

c) If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.

8 0

3 years ago