All categories

3 years ago

9x + 27 = –72 what is x

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

9x + 27 = -72
   - 27 = - 27
9x  = - 99
9x/9 = -99/9
  x = -11

You might be interested in

A circle has its center at (0,0) and passes through the point (0,9). What is the standard equation of the circle?

Alexxandr [17]

Answer:

x^2+y^2=9^2

Step-by-step explanation:

The standard equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of $r^2$ this means that $r^2=9^2$ . Therefore by plugging in the values we have:

$(x-0)^2+(y-0)^2=9^2\\\\x^2+y^2=9^2$

7 0

3 years ago

After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l

LiRa [457]

Answer:

$d(t) = -20t - 260$

Step-by-step explanation:

The depth function is:

$d(t) = mt + b$

After 3 minutes, a submarine had descended to −320 feet.

This means that $d(3) = -320$ . So

$d(t) = mt + b$

$-320 = 3m + b$

After 8 minutes, the submarine had descended to −420 feet.

This means that $d(8) = -420$ . So

$d(t) = mt + b$

$-420 = 8m + b$

From the first equation:

$b = -320 - 3m$

$-420 = 8m + b$

$-420 = 8m - 320 - 3m$

$5m = -100$

$m = \frac{-100}{5}$

$m = -20$

And

$b = -320 - 3*(-20) = -260$

$d(t) = -20t - 260$

7 0

3 years ago

8 + 3g ≥ 5 pplllllllzzzzz heeeelllppp fast!!!

timofeeve [1]

11g greater than 5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Given that g(x)=x-3/x+4 find each of the following.

maks197457 [2]

Given that the function g(x)=x-3/x+4, the evaluation gives:

g(9) = 6/13.
g(3) = 0.
g(-4) = undefined.
g(-18.75) = 1.07.
g(x+h) = x+h-3/x+h+4

<h3>How to evaluate the function?</h3>

In this exercise, you're required to determine the value of the function g at different intervals. Thus, we would substitute the given value into the function and then evaluate as follows:

When g = 9, we have:

g(x)=x-3/x+4

g(9) = 9-3/9+4

g(9) = 6/13.

When g = 3, we have:

g(x)=x-3/x+4

g(3) = 3-3/3+4

g(3) = 0/13.

g(3) = 0.

When g = -4, we have:

g(x)=x-3/x+4

g(-4) = -4-3/-4+4

g(-4) = -1/0.

g(-4) = undefined.

When g = -18.75, we have:

g(x)=x-3/x+4

g(-18.75) = -18.75-3/-18.75+4

g(-18.75) = -15.75/-14.75.

g(-18.75) = 1.07.

When g = x+h, we have:

g(x)=x-3/x+4

g(x+h) = x+h-3/x+h+4

Read more on function here: brainly.com/question/17610972

#SPJ1

8 0

2 years ago

An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartr

Basile [38]

Answer / Step-by-step explanation:

In this exercise, we know that the agency collected 1,829 bullets which according to the agency, all came from different source.

The number of pair of bullet is :

(1,829) = 1, 829 ! / 2! ( 1,829 - 2 ) = 1, 829 x 1,828 x 1827 ! / 2 x 1 x 1,827

( 2 )

= 6, 108,413,724 / 3654

= 1671,706.

Also, we know that the agency found 658 matches. According to this, the chance of false positive ( that is, the agencies find a match but the bullets are from two different source ) is

P (False positive ) = 658 / 671,706

= 0.000979.

The probability is small to an extent, therefore, we should have confidence in the agency forensic report and evidence

6 0

4 years ago