All categories

2 years ago

Given g(x)=3x+6 on what interval is the function negative

Mathematics

2 answers:

lakkis [162]2 years ago

7 0

Hi !

$3x+6\leq 0\\3x\leq -6\\x\leq \frac{-6}{3} =-2$

g(x)≤0 for x∈ ]-∞;-2]

Have a nice day

iris [78.8K]2 years ago

4 0

Step-by-step explanation:

A number that is negative is less than 0, so

$3x + 6 < 0$

$3x < - 6$

$x < - 2$

So this function is negative, when x is less than -2

You might be interested in

joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each

masya89 [10]

So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
$Jeff's\ weight = 86 \frac{2}{3} \ lbs.$

Substitute again.
$x = 2(86 \frac{2}{3} )-20$

Multiply.
$x = 173 \frac{1}{3} -20$

Subtract.
$Joe's\ weight = 153 \frac{1}{3}\ lbs.$

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

$Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.$
$Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.$

3 0

3 years ago

A bakery charges two different prices for desserts. The table shows the number of cupcakes and the number of cookies sold in the

andreev551 [17]

Answer:

hope this helps

Step-by-step explanation:do not need one really

8 0

3 years ago

Explain the steps to take when writing a coordinate geometry proof.

andrezito [222]

Answer:

Read the problem carefully. For the purposes of this step-by-step geometry proof, use the following example: Given that triangle ABC is an equilateral triangle and that line AD bisects line BC, prove that the resulting triangle ABD is a right triangle.Draw an illustration of the problem. Having a picture in front of you when doing a geometry proof really helps organize your thoughts.Consider what you know about each piece of given information. For example, because ABC is an equilateral triangle, all three sides must be the same length. Furthermore, all three angles must be equal as well. Since a triangle contains 180 degrees, then each angle in an equilateral triangle must measure 60 degrees. Moving on to the other piece of given information, since line AD bisects side BC, that makes line segments CD and DB equal in length.Use the facts established by the given information to generate more facts that are useful to your geometric proof. Since the line segments CD and DB are equal in length, that means the angle CAD must be equal to the angle DAB.Extrapolate from the facts to get closer to the solution. Since angle A is 60 degrees, the smaller angles must be one half of 60, or 30 degrees. Given that angle B is 60 degrees and that angle DAB is 30 degrees, this accounts for 90 degrees of a triangle. The remaining 90 degrees must be contained in the angle BDA. Since a right triangle must contain a 90-degree angle, you have just proven that triangle ABD is a right triangle.Write out the step-by-step geometric proof of the problem in a two-column format. In the left hand column, write a statement and in the right hand column, write the proof of the statement. Repeat this process until you have documented all of the steps in your thinking process that resulted in your solution.

Step-by-step explanation:

3 0

3 years ago

A dose of a new pharmaceutical drug is decaying according to the half-life model f(t) = Ne-0.2174, where N is the dose

Rudiy27

Answer:

14.7

Step-by-step explanation:

Perhaps your equation is ...

f(t) = N·e^(-0.2174t)

We want f(6) = 4, so ...

4 = N·e^(-0.2174·6) = N·e^-1.3044 ≈ 0.2713N

N = 4/0.2713 = 14.7 . . . . milligrams

The dose amount was about 14.7 mg.

6 0

3 years ago

What is the least number of factors for any even number greater than 4?

Nadusha1986 [10]

So, 420 is the smallest positive integer with 4 prime factorizations in the E-zone.

8 0

3 years ago

Read 2 more answers