All categories

2 years ago

The solution for x2 + 2x + 8 ≤ 0 is

Mathematics

2 answers:

Marina CMI [18]2 years ago

5 0

Answer:

Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.

Let's solve this by completing the square:

x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:

(x + 1)^2 + 7 ≤ 0

Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)

Then the solutions are x = -1 + i√7 and x = -1 - i√7

There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.

Valentin [98]2 years ago

3 0

Answer:

B. The Empty Set

Step-by-step explanation:

Hope this helps!!! Have a great day!!!! : )

You might be interested in

Find the sale price

SOVA2 [1]

Answer:

$96

Step-by-step explanation:

7 0

2 years ago

Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine

denis23 [38]

Answer:

Option (4). 25%

Step-by-step explanation:

The graph attached shows the exponential growth.

Let the graphed function is y = $(1+\frac{r}{100})^{t}$

Here 'r' = Rate of growth

t = Duration of time in years

y = enrollments after time 't' years

Graph shows at time 't' = 0 or initially number of enrollments = 20

After 8 years number of enrollments will be

120 = $20(1+\frac{r}{100})^{8}$

$\frac{120}{20}=(1+\frac{r}{100})^{8}$

6 = $(1+\frac{r}{100})^{8}$

log 6 = $8\text{log}(1+\frac{r}{100})$

0.77815 = $8\text{log}(1+\frac{r}{100})$

$\text{log}(1+\frac{r}{100})$ = 0.0972689

$(1+\frac{r}{100})=1.251$

$\frac{r}{100}=0.251$

r = 25.1%

r ≈ 25%

Therefore, Option (4) will be the answer.

5 0

2 years ago

Graph the line y = 2x.

Phoenix [80]

Answer:

good luck lol

Step-by-step explanation:

graph the number 2 on the x axis so the line should go like /

3 0

3 years ago

Staples sell for $.60 a box. How many boxes can be bought for $3.45?

True [87]

Answer:

You can buy 5 boxes of staples

Step-by-step explanation:

3.45 divided by $.60 is 5.75 and u cannot get .75 boxes of staples so it rounds to 5.

6 0

3 years ago

Read 2 more answers

This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and

kari74 [83]

208.81 square centimeters of aluminium are needed

Solution:

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

The surface area of cylinder is given by formula:

$A = 2 \pi r(h+r)$

Where "r" is the radius and "h" is the height of cylinder

Substituting the values we get,

$A = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81$

Thus 208.81 square centimeters of aluminium are needed

8 0

2 years ago