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3 years ago

Which of the following are characteristics of the graph of the reciprocal parent function? check all that apply

Mathematics

1 answer:

e-lub [12.9K]3 years ago

5 0

<h3>3 answers: Choice A, Choice C, Choice D</h3>

Basically, everything but choice B

===========================================

Explanation:

Lets go through the answer choices to see which are true or false.

For each, we'll be considering the graph of y = 1/x as shown below.

A. True. We have two branches that are completely separate and never meet up, and those two branches are in quadrants Q1 and Q3. Both curves are always decreasing (going downhill as you move from left to right). This is because if x is positive, then so is y = 1/x. If x is negative, then so is y = 1/x. Any point (x,y) is either composed of two positive coordinates or two negative coordinates.
B. False. A parabola is one single curve and we have two separate curves here.
C. True. A hyperbola is composed of two curves as the graph of y = 1/x shows.
D. True. The graph shows y = 1/x does not go through the origin. This is because we cannot have x = 0 in y = 1/x, or otherwise we have a division by zero error. A similar situation happens with y = 0 as well.

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2. Divide 8x - 4x +1 by x+6

Anvisha [2.4K]

Answer:

$\Large{\bold{\frac{4x\:+\:1}{x\:+\:6}}}$

Step-by-step explanation:

$(8x\:-\:4x\:+\:1) ÷ (x\:+\:6)$
$\frac{8x\:-\:4x\:+\:1}{x\:+\:6}$
$\frac{4x\:+\:1}{x\:+\:6}$

3 0

3 years ago

What is the length of the diameter of a circle inscribed in a right triangle with the length of hypotenuse c and the sum of the

jeyben [28]

Answer:

diameter = m - c

Step-by-step explanation:

In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).

The sum of the lengths of the tangents from points A and B on side "c" is ...

(b-r) +(a-r) = c

(a+b) -2r = c

Now, the problem statement defines the sum of side lengths as ...

a+b = m

and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...

m -d = c

m - c = d . . . . add d-c

The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.

5 0

3 years ago

uppose we want to build a rectangular storage container with open top whose volume is $$ cubic meters. Assume that the cost of m

Ainat [17]

Answer:

a = length of the base = 2.172 m

b = width of the base = 1.357 m

c = height = 4.072 m

Step-by-step explanation:

Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?

lets call a = length of the base

b = width of the base

c = height

V = a.b.c = 12

Area without the top:

Area = ab + 2bc + 2ac

Cost = 12ab + 8.2bc + 8.2ac

Cost = 12ab + 16bc + 16ac

height = 3.width

c = 3b

Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab

abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²

Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b

C(b) = 48b² + 240/b

C'(b) = 96b - 240/b²

Minimum cost: C'(b) = 0

96b - 240/b² = 0

(96b³ - 240)/b² = 0

96b³ - 240 = 0

96b³ = 240

b³ = 240/96

b³ = 2.5

b = 1.357m

c = 3b = 3*1.357 = 4.072m

a = 4/b² = 2.172m

6 0

3 years ago

What are perfect numbers between 1 and 28

snow_lady [41]

Answer:

i was trying to help u but ok delete my answer

Step-by-step explanation:

5 0

3 years ago

To find the product of two digit number and a 1 digit number you can multiply the tens multiply the ones and find of each

kumpel [21]

Yes you can multiply 10 to find the numbers

4 0

3 years ago