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Ber [7]
3 years ago
11

2. You are given the hyperbolic relation modeled by xy = -2. Do the following: a) Rewrite the relation such that the dependent v

ariable (y) is isolated. b) Complete the table of values that accompanies this question. c) Use the table to graph the relation.
Refer back to the graph in question #1 when answering the following questions:

Mathematics
1 answer:
N76 [4]3 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given equation is :

  • xy =  - 2

1. The relationship such that dependent variable (y) is isolated is :

  • y =   \dfrac{ - 2}{x}

2. The table accompanying this equation :

  • x = -4 and y = 0.5

  • x = -1 and y = 2

  • x = - 0.5 and y = 4

  • x = 0 and y = undefined

  • x = 0.5 and y = -4

  • x = 1 and y = -2

  • x = 4 and y = -0.5

3. graph of the given equation is in attachment ~

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A plant is already 54 centimeters tall, and it will grow one centimeter every month.
Pavel [41]

Answer:

The answer to your question is:     H(m) = 54 + 1m

Step-by-step explanation:

Data

Initial height = 54 cm

rate of growing = 1 cm/month

H = plant's height

m = months

Process

                        H(m) = 54 + 1m

3 0
3 years ago
Line c has an equation of y=-3/4x-3. Line d is parallel to line c and passes through the points (-2, -2). What is the equation o
blagie [28]

Answer:

y = \frac{3}{4} x - \frac{7}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x - 3 ← is in slope- intercept form

with slope m = - \frac{3}{4}

Parallel lines have equal slopes , then

y = - \frac{3}{4} x + c ← is the partial equation of line d

to find c substitute (- 2, - 2 ) into the partial equation

- 2 = \frac{3}{2} + c ⇒ c = - 2 - \frac{3}{2} = - \frac{7}{2}

y = - \frac{3}{4} x - \frac{7}{2} ← equation of line d

5 0
3 years ago
.The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor?
Lubov Fominskaja [6]

Answer:

(a+2) Is your answer

Step-by-step explanation:

You could try synthetic division, but it's pretty complicated (not to mention for much harder problems), so you should try factoring this. What two numbers multiply up to 10 and add up to 7? Using trial and error, we would find these two numbers to be 2 and 5. Therefore, it factors into (a+5)(a+2).

7 0
4 years ago
Read 2 more answers
Solve for x: 10^x = 9<br>A. x = log⁡ 9<br><br>B. x = log^9 ⁡10<br><br>C. x = log ⁡10
romanna [79]

Answer:

  • A. x = log 9

Step-by-step explanation:

  • 10^x = 9

<u>Log both sides:</u>

  • log 10^x =  log 9
  • x log 10 = log 9
  • x*1 = log 9
  • x = log 9

Correct choice is A

4 0
3 years ago
Read 2 more answers
In most linear programming problems, there are two stages:
xxMikexx [17]

Answer: Bruno = 16 cans, Blaze = 14 cans

<u>Step-by-step explanation:</u>

Part A gave you the three equations.  

Part B showed you the intersected points --> (16, 14), (20, 10), & (21.4, 10.7)

Part C is giving you the Cost function: C(x, y) =0.10x + 0.20y

Input the intersected points into the Cost function to find the maximum.

C(16,14) = 0.10(16) + 0.20(14)

             =    1.60      + 2.80

             =    4.40

C(20,10) = 0.10(20) + 0.20(10)

             =    2.0      + 2.00

             =    4.00

C(21.4,10.7) = 0.10(21.4) + 0.20(10.7)

                  =    2.14      + 2.14

                  =    4.28

Of the three results we just found, 4.40 is the biggest value.

So, the maximum occurs at C(16,14) = 4.40

                                                  ↓   ↓

                                          Bruno   Blaze

5 0
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