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murzikaleks [220]
3 years ago
7

What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = \frac{x^2+6x+9}{3x+15}

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

Domain x ∈ R , x ≠ - 5

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What is 11/12 – 3/8 <br> A) 2 <br> B) 1/2 <br> C) 13/24 <br> D) 21/32
Pepsi [2]

Hey! Answer to this would be 13/24.

4 0
3 years ago
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If your slope is undefined, what would you put for M in Point slope form?
ivann1987 [24]

Answer:

You can not write an equation then because it would just be a vertical line, ex: x=4 or x=-4. I hope this helps!

Step-by-step explanation:

5 0
3 years ago
Points J and K are midpoints of the sides of triangle FGH. Triangle F G H is cut by lines segment J K. Point J is the midpoint o
anastassius [24]

Answer:

Value of y = 7

Step-by-step explanation:

By the midpoint theorem of the triangles,

"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."

Therefore, from the figure attached,

In ΔFGH,

J and K are the mid points of the two sides GH and FH.

By theorem, segment JK║GF and m(JK) = \frac{1}{2}m(FG)

(2y+5)=\frac{1}{2}(5y+3)

(5y + 3) = 2(2y + 5)

5y + 3 = 4y + 10

5y - 4y = 10 - 3

y = 7

7 0
3 years ago
Read 2 more answers
Need help finding this answer
ch4aika [34]

Answer: Option 1


Step-by-step explanation:

1. You know the lenght of both rectangular prism, therefore if both are similar, the scale factor is:

sf=\frac{12cm}{4cm}\\sf=3

2. Then the scale factor of the volumes is:

sf_v=3^{3}\\sf_v=27

3. Now, you must multiply the volume of the smalller rectangular prism by the scale factor obtained, then you obtain the following result:

V_2=(24cm^{3})(27)=648cm^{3}


6 0
3 years ago
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Can someone interpret the question please? I’m my understanding. Thank you ☺️
Feliz [49]
Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)

-----------------------------------------

Explanation:

What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle. 

The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.

The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated

The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list

The bottom-right choice has a hypotenuse of 15, so we found the answer

Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)

6 0
3 years ago
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