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seraphim [82]
2 years ago
5

The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.

211.211, point, 2 11.211.211, point, 2 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Mathematics
2 answers:
Paul [167]2 years ago
5 0

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

QveST [7]2 years ago
5 0

Answer:

the correct answer is 1

hope this helps :D

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Simora [160]

9514 1404 393

Answer:

  • car value: $4,953.84
  • population: 446
  • maybe not

Step-by-step explanation:

All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.

The general form of the value after t years is ...

  (initial value)×(1 +annual growth rate)^(years)

The growth rate is positive for an increase, negative for a decrease.

a) Initial value: 22385; growth rate: -0.14; years: 10

  value after 10 years: $22385×(1-0.14)^10 = $4953.84

__

b) initial value: 290; growth rate: 0.09; years: 5

  population after 5 years: 290(1+.09)^5 = 446

__

c) initial value: $4000; growth rate: -0.10; years: 8

  value after 8 years: $4000(1 -0.10)^8 = $1721.86

Selling the car for $1500 is selling it for <em>less than its estimated value</em>. That may not be a good decision.

_____

<em>Additional comment</em>

The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.

8 0
2 years ago
What is 2(x + 4)=2(-8- x) - 2x
Maru [420]

Answer:

You want to solve for x, the first thing you need to do is distribute

The 2 through the x+4 then the other 2 through the -8-x

2(x+4)= 2x+8

2(-8-x)= -16-2x

2x+8=-16-2x-2x (combine like terms on the right side)

2x+8=-16-4x (now subtract 8 from each side)

2x=-24-4x (8-8=0, -16-8=-24) (now add 4x to each side)

6x=-24 (-4x+4x=0, 2x+4x=6x), (divide each side by 6)

x=-4 (6/6=1, -24/6=-4)

x=-4

Hope this helps ;)

6 0
3 years ago
What is the value of m in the equation 5m − 7 = 6m 11? 18 1 −18 −1.
denpristay [2]

Answer:

-7 = m

Step-by-step explanation:

5m − 7 = 6m

Subtract 5m from each side

5m-5m − 7 = 6m-5m

-7 = m

6 0
1 year ago
What is the slope of the line that passes through the points (-7, -7) and (-7, 1) ?
ICE Princess25 [194]

Answer:

undefined

Step-by-step explanation:

(-7, -7) and (-7, 1)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(1 - (-7)) / (-7 - (-7))

Simplify the parentheses.

= (1 + 7) / (-7 + 7)

Simplify the fraction.

8/0

= undefined

Our line is a vertical line, which has an undefined slope.

Hope this helps!

6 0
3 years ago
What is the LCM<br> OF 4, 8 and 16
sleet_krkn [62]
I think the answer is 2
8 0
3 years ago
Read 2 more answers
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