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Naddik [55]
3 years ago
14

Which inequality represents all values of X for which the product below is defined?

Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

x ≥6

Step-by-step explanation:

Given the product:

√(x-6)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(x-6)*√(x+3)≥0

Find the product

√(x-6)(x+3)≥0

Square both sides

(x-6)(x+3)≥0

x-6≥0 and x+3≥0

x≥0+6 and x ≥0 - 3

x ≥6 and x ≥-3

Hence the required inequality is x ≥6

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Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. Th
pickupchik [31]

Answer:

a) ◇G = ◇H - T◇S wiĺl be negative.

b) It will be a spontaneous reaction.  

Explanation:

As ◇H is less than 0 and T◇S is greater than 0 so if we put it in the equation we would get the negative maximum result. And when the energies are with negative sign they are said to be spontaneous.

3 0
3 years ago
Read 2 more answers
PLEASE HELP
arsen [322]

Answer:

Equation of line shown in the graph is : x= - 2

Step-by-step explanation:

Given,

a line passing through two points ( -2,2) and ( -2,-3).

We need to use two pint line equation:

y - y1 = (y2 - y1 / x2 - x1 ) (x - x1 )

Here , x1 = -2 ,x2 = -2 , y1 = 2 and y2 = -3

So we can plug corresponding values in the line equation.

We get:    y - 2 = {(-3 - 2) / ( -2 - (-2))} (x - (-2))

         y - 2 = (-5 /0 ) (x + 2)

      0 * (y - 2) = -5 (x+2)

          0 = -5x - 10

        10 = -5x

        x = -10/5 = -2

Hence x= -2 is the equation of line shown in the graph.

8 0
3 years ago
2. Manakah yang merupakan PLSV? Jelaskan!
s2008m [1.1K]

Step-by-step explanation:

10 -3 10+3*-3= 12 x=10-8=6

5 0
3 years ago
Given klmn is a trapezoid, kl = mn, m<1 = m<2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
Ilia_Sergeevich [38]

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

\dfrac{lm}{kn}=\dfrac{8}{9}

Or this could be written as

lm=8x\\kn=9x

Now the remaining two sides are given as

lk=lm as this form an isosceles triangle so

lk=8x

Similarly

mn=lm\\

Or

mn=8x

Now the perimeter is given as

\text{perimeter}=lm+mn+kn+lk\\

Here perimeter is given as 132 so this gives:

\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4

So the four legs are of length as given below:

lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

6 0
3 years ago
The expression, involving exponents , to represent the shaded area, in square inches, diagram. Then use that expression to calcu
mart [117]

Answer:

The shaded area is 23\ in^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

so

A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})\\ \\A=(2^{2})(3^{2}) -(3^{2} +2^{2})

Calculate the shaded area

Remember that

3^{2}=9\\ 2^{2}=4

substitute

A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}

5 0
3 years ago
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