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olga_2 [115]
3 years ago
12

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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1 substitute p=5, q=7, r = -2
lora16 [44]

1.

a.) 2q + 5r

2(7) + 5(-2)

14 - 10 = 4


b.) 3(p + 6) + q + r     Plug in the numbers

3(5 + 6) + 7 - 2   Solve inside the parentheses first

3(11) + 7 - 2

33 + 5 = 38


2.

a.) m(3m + 4n)

2(3(2) + 4(3))

2(6 + 12)

2(18) = 36


b.) n²(m + p²)

(3)²(2 + (-5)²)

9(2 + 25)

9(27) = 243


c.) 3m(8 + n) + n²

3(2) (8 + 3) + 3²

6(11) + 9

66 + 9 = 75

3 0
3 years ago
Can someone please help me out with this?
pshichka [43]

Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

5 0
4 years ago
Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,
baherus [9]

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

\color{hotpink}\tt \: Perímetro  \: del \:  rectángulo =\color{plum} 2 × (l + b)

Lo que significa :

=\tt 2(x + x + 5) = 74

=\tt 2(2x + 5) = 74

=\tt 4x +10 = 74

=\tt 4x = 74 - 10

=\tt 4x = 64

=\tt x =  \frac{64}{4}

\color{plum} =\tt x = 16

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

=\tt x + 5

= \tt16 + 5

\color{plum} =\tt 21 \: pulgadas

La longitud de este rectángulo = 21 pulgadas

<h2>Por lo tanto :</h2>

● Longitud del rectángulo = <em>21 pulgadas</em>

● Ancho del rectángulo = <em>16 pulgadas</em>

3 0
3 years ago
De un grupo de 60 personas, la tercera parte finalizó la escuela primaria solamente, y las ⅖ partes completaron la secundaria. E
notka56 [123]

Answer:

36 personas

Step-by-step explanation:

las 2/5 partes q completaron secundaria tambien finalizaron primaria

con lo cual el tercio que estudio primaria esta dentro del grupo de personas que estudiaron

60*2/5 = 24  

24 personas estudiaron

60-24=36

4 0
3 years ago
What is 1/6x=4 in solving equations with rational coefficients
Debora [2.8K]
To solve an equation with a rational (fraction) coefficient you need to multiply both sides of the equation by the reciprocal (invert the fraction - flip it).

\frac{1}{6}x =4 The reciprocal of 1/6 is 6/1 or 6
6( \frac{1}{6} x)= 6(4)  The product of reciprocals equals 1 
1x = 24
x = 24


7 0
3 years ago
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