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zlopas [31]
1 year ago
13

For which interval does this quadratic inequality hold true?

Mathematics
1 answer:
adoni [48]1 year ago
3 0

Answer:

D

Step-by-step explanation:

x²-4x-12≤0

x²-6x+2x-12≤0

x(x-6)+2(x-6)≤0

(x-6)(x+2)≤0

x=6,-2

∴ value of x lies between -2 & 6

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Which statement is true? The function is only increasing when x ≥ −8. The function is only increasing when x ≥ 0. The function i
Artist 52 [7]

Answer:

THE FUNCTION IS ALWAYS INCREASING.

Complete question: The graph of f(x)= power of 3√x + 8 is shown.

Step-by-step explanation:

See attachment for the missing graph.

when x = -16 ; y = -2

when x = -12 ; y = -1.5

when x = -8 ; y = 0

when x = -6 ; y = 1.25

when x = 0 ; y = 2

when x = 6 ; y = 2.5

As the value of x increases, so does the value of y. Thus, the function is always increasing. 

6 0
3 years ago
This question made me stuck lol.. I really need help
Svetach [21]
(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2

(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2

2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==


5 0
3 years ago
Milena just turned 11 years old. How old was she 2 1/4 years ago?
ankoles [38]
Milena was 9 years and 3 months old
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3 years ago
Read 2 more answers
Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.
Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

(a^{m})^{n}  = a^{m*n}

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0
2 years ago
Which two equations represent a nonlinear function?
irina [24]

Answer:  See below.

Step-by-step explanation:

The formatting is likely incorrect for these two options:

y=(x−1)2, and  

y = ( x − − 1 ) 2

I'll assume they were meant to be:

y=(x−1)^2, and  

y = ( x + 1 )^2

In this case they would be non-linear, since y depends on the value of x^{2}

Use a "^" sign to indicate raised to a power:  x^2 means x^{2}.  

y=(x−1)2 means y = 2x - 2

y=(x−1)^2 means y = (x-1)^{2}

8 0
2 years ago
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