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3 years ago

Write a quadratic variation equation if g(x) varies directly with x2, and g(x) = 108 when x = 6.

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

G(x) = k * x^2

108 = k * 6^2
108 = k * 36
Divide both sides by 36
3 = k

g(x) = 3x^2

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3. Solve the following application of a system of linear equations.

zhuklara [117]

Answer:

Equations:

$y = 14 + 9 x$ --- Cindy

$y = 10 x$ --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

$Existing\ Flashcards = 14$

$Additional = 9$ per minute

Total number of flashcards (y) in x minutes is:

$y = Existing\ Flashcards + Additional * x$

$y = 14 + 9 * x$

$y = 14 + 9 x$

Ruben:

$Rate = 10$ per minute

Total number of flashcards (y) in x minutes is:

$y = Rate * x$

$y = 10 * x$

$y = 10 x$

Solution to Equations:

Time they have the same amount.

To do this, we $equate$ $both$ expressions

i.e.

$10x = 14 + 9x$

Collect Like Terms

$10x - 9x = 14$

$x = 14$

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

$y = 10 x$

$y = 10 * 14$

$y = 140$

$y = 14 + 9 x$

$y = 14 + 9 * 14$

$y = 14 + 126$

$y = 140$

4 0

2 years ago

Whitch of the following can not be classified as a parallagrams

Sindrei [870]

Can you show the choices you have

3 0

3 years ago

Read 2 more answers

Need help plz show work

gregori [183]

3. (24 + x) / 2 > 58 <== ur inequality
(24 + x) > 58 * 2
24 + x > 116
x > 116 - 24
x > 92....so she would have to score at least 93 points

4. 6x - 60 > = 510 <== ur inequality
6x > = 510 + 60
6x > = 570
x > = 570/6
x > = 95 <== solution

4 0

3 years ago

815 gallons of gas cost $32. How many gallons of gas can Mike buy for $20?

jenyasd209 [6]

Answer:

509 gallons as 815 gallons divided by 32 = 25.468 and we multiply by 20 to get 509.375 where we round down at 509 to find full gallon, anything less (via decimal) is not a full gallon.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Simplify 3{[3(9 – 2)] + [7(8 – 1)]}

Mekhanik [1.2K]

Answer:

210

Step-by-step explanation:

Use the order of operations pemdas( parenthesis, exponent, multiply, divide, add, subtract)

first do everything within the parenthesis.

3 ( ( 3 (9-2) ) + ( 7 (8-1) ) )

3 ( ( 3 (7) + ( 7 ( 7 ) ) )

3 ( ( (21) + (49) ) ) )

3 ( ( 21 + 49 ) )

3 ( 70 )

3 (70) = 70 + 70 + 70 = 140 + 70 = 210

6 0

2 years ago