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Gala2k [10]
2 years ago
14

Which statement is true about the discontinuities of the function f(x)?

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

  (a)  There are asymptotes at x=3/2 and x=-1/3

Step-by-step explanation:

The denominator zeros can be found by factoring:

  f(x) = (x +1)/((2x -3)(3x +1))

Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.

The asymptotes are at the values of x where the denominator is zero:

  2x -3 = 0   ⇒   x = 3/2

  3x +1 = 0   ⇒   x = -1/3

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Refer to cy math.com  they have the answer 
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3 years ago
(6x-3y - 12<br> - (2x+2y=10
madreJ [45]

Answer:

8x - 5y - 13

Step-by-step explanation:

(6x - 3y - 12) - (2x +2y - 10)

(6x - 3y - 12) - 2x - 2y + 10

6x - 3y - 23 - 2x - 2y + 10

8x - 5y - 13

8 0
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Read 2 more answers
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
A scale drawing of Joshua's living room is shown below:
Nadya [2.5K]
To find the answer, first lets divide the width and length by the scale amount given, 2 cm.

Width: 4 cm / 2 cm = 2

Length: 6 cm / 2 cm = 3


After this, we multiply the result by the amount to scale up, in this case 4 feet.

Width: 2 * 4 = 8 feet


Length: 3 * 4 = 12 feet

Therefore the answer is the first option.
5 0
3 years ago
If you are good at money and math, please look at the screenshot below and help me! I think some ppl will think this is easy.
Verizon [17]

Answer:

150 for lower seats and 200 for higher seats

Step-by-step explanation:

Need two equations and then solve using substitution method:

Equation 1 for tickets sold:

$35x + $25y = $10,250

Equation 2 for quantity (number #) of tickets sold:

x + y = 350

Use substitution method:

y = 350 - x

35x + 25 (350 - x) = $10,250

35x + $8750 - 25x = $10,250

10x + $8750 = $10,250

        - $8,750       -$8,750

10x = 1,500

x = 150

 

y = 350 - 150

y = 200

Check the answers:

$35 (150) + $25 (200) =

$5,250 + $5,000 = $10,250

7 0
3 years ago
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