All categories

3 years ago

Posting a screenshot.

Mathematics

1 answer:

Anna71 [15]3 years ago

8 0

Since 6 is positive, it's (x+blank)^2

6/2=3, and (x+3)^2 = x^2+6x+9. We have x^2+6x-2, so we have to add 9 to both sides to get (x+3)^2-2=9, then subtract 9 from both sides to get
(x+3)^2-11=0, or (x+3)^2=11. Square root both sides to get x+3=sqrt(11), and x=sqrt(11)-3, which is approximately 0.32

You might be interested in

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.9 days and a standard de

FrozenT [24]

The 70th percentile is the same as the cutoff recovery time $t$ such that every point above this time falls in the longest 30%, i.e.

$\mathbb P(X>t)=0.30$

Transform to the standard normal distribution:

$\mathbb P\left(\dfrac{X-5.9}{2.5}>\dfrac{t-5.9}{2.5}\right)=\mathbb P(Z>t^*)$

where $t^*$ is the z-score corresponding to the cutoff time $t$ , which is approximately $t^*\approx0.5244$ . Solve for $t$ :

$t^*\approx0.5244=\dfrac{t-5.9}{2.5}\implies t\approx7.21\text{ days}$

6 0

4 years ago

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

nignag [31]

3(8 – 4x) < 6(x – 5)?- 12x + 24 < 6x - 30
- 12x - 6x < - 30 - 24
- 18x < - 54 .(- 1)
18x > 54
x > 54/18
x > 3

6 0

3 years ago

Read 2 more answers

13 + 11s = -15 + 8s − 20

koban [17]

Answer,

S = -16

Explanation,

Step 1: Simplify both sides of the equation.

13 + 11s = − 15 + 8s − 20

13 + 11s = − 15 + 8s + − 20

11s + 13 = (8s) + (− 15 + − 20) (Combine Like Terms)

11s + 13 = 8s + − 35

11s + 13 = 8s − 35

Step 2: Subtract 8s from both sides.

11s + 13 − 8s = 8s − 35 − 8s

3s + 13 = − 35

Step 3: Subtract 13 from both sides.

3s + 13 − 13 = − 35 − 13

3s = − 48

Step 4: Divide both sides by 3.

3s/3 = −48/3

s = -16

Hope this helps :-)

3 0

3 years ago

Write an equation of a line with the given slope and y-intercept. m = –5, b = –3. A. y = –5x – 3 . B. y = –5x + 3 . C. y = 5x –

True [87]

Y = mx + b
y = -5x -3

5 0

3 years ago

Read 2 more answers

How do I start this problem? I don't need help with the graphing part.

tamaranim1 [39]

Answer:

x = 6 , y = 0 (x , y) = (6 , 0)

x = 12, y = 3 (x , y) = (12 , 3)

x = 24, y = 9 (x , y) = (24 , 9)

Step-by-step explanation:

Simply plug in a x, and find a y that would make the equation true:

When x = 6:

6 - 2y = 6

6 (-6) - 2y = 6 (-6)

-2y = 0

(-2y)/-2 = (0)/-2

y = 0

When x = 6, y = 0 (x , y) = (6 , 0)

When x = 12:

12 - 2y = 6

12 (-12) -2y = 6 (-12)

-2y = -6

(-2y)/-2 = (-6)/-2

y = 3

When x = 12, y = 3 (x , y) = (12 , 3)

When x = 24:

24 - 2y = 6

24 (-24) - 2y = 6 (-24)

-2y = -18

(-2y)/-2 = (-18)/-2

y = 9

When x = 24, y = 9 (x , y) = (24 , 9)

3 0

3 years ago