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Gwar [14]
2 years ago
14

Given g of x equals cube root of the quantity x plus 6, on what interval is the function negative?

Mathematics
1 answer:
nikdorinn [45]2 years ago
6 0

The interval for the function to be negative will be (-∞<x<-7).

<h3>What is a function?</h3>

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here we have a function:-

g(x) = ∛(x+6)

If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-

(-∞<x<-7).

Therefore interval for the function to be negative will be (-∞<x<-7).

To know more about function follow

brainly.com/question/2833285

#SPJ1

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Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?
vagabundo [1.1K]

Answer:

y is also doubled.

Step-by-step explanation:

Direct proportionality between x and y means that

y \propto x

or

y=cx,

which indicates a linear relationship between  x and y because they are related by a constant.

Therefore, if x is doubled, then the new value of y is y_{new}

y_{new}=c(2x)

y_{new}=2(cx)

y_{new}=2y

The new value of y is 2 times the previous; therefore, y is doubled as x is doubled.

7 0
3 years ago
Read 2 more answers
Express the radical using the imaginary unit, i.
MrMuchimi

Answer:

±3i

Step-by-step explanation:

Given the value ±√-9, we are to express the value using the imaginary number 'I'

±√-9 = ±√9×-1

= ±√9 × √-1

In complex number, √-1 = i

The expression becomes;

±√9 = ±3 × i

±√9 = ±3i

Hence the value in simplified form is ±3i

7 0
3 years ago
georgina works on the 30th floor of a office building she took the elevator to the cafeteria on the 7th floor how many floors di
dezoksy [38]
She traveled 23 floors, 30-7=23.
3 0
3 years ago
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Solve the quadratic equation: 3x2 − 2x − 8 = 0
astra-53 [7]
Solutions 

Factor <span>3x</span>²<span><span>−2x−8</span><span>

</span></span>1. Multiply 3 by -8, which is -24.

2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>: 

3x^2+4x-6x-8=0<span>

</span><span>Factor out common terms in the first two terms, then in the last two terms 
</span>
x(3x+4)-2(3x+4)=0&#10;&#10; &#10; 

 Factor out the common term <span>3x+4 

</span>(3x+4)(x-2)=0 

Solve for <span>x

</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?

2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>

3. Solve each of the 2 equations above: 

x = −<span>4 / 3</span>,<span>2</span>

8 0
3 years ago
Read 2 more answers
What is the solution to y=14x-6 and y=-4x+48
Valentin [98]
14x-6=-4+48
18x-6=48
18x=54
X=3
-3(3)+48=41
14(3)-6=36
No solution
7 0
3 years ago
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