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pickupchik [31]
2 years ago
14

a direct variation function contains the points ( -8, -6 ) and (12,9 ) . Which equation represents the function ?

Mathematics
1 answer:
9966 [12]2 years ago
8 0

Answer:

y = \frac{3}{4} x

Step-by-step explanation:

Given that the quantities vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (12, 9), that is x = 12 when y = 9, then

k = \frac{y}{x} = \frac{9}{12} = \frac{3}{4}

y = \frac{3}{4} x ← equation of variation

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Find the probability. Leave your answer in simplest fraction form.
kodGreya [7K]

Answer:

5/6

Step-by-step explanation:

The numbers on a six-sided die are as shown:

1, 2, 3, 4, 5, 6

The even numbers are:

2, 4, 6

The numbers greater than 3 are:

3, 4, 5, 6

Both lists together are:

2, 3, 4, 5, 6

Because 5 out of 6 numbers satisfy these conditions, the probability of satisfying these conditions is 5/6.

8 0
1 year ago
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What would be the expression after distributing, 4(x+7)?
umka2103 [35]

Answer:

4x+28

Step-by-step explanation:

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3 years ago
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The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function
Misha Larkins [42]
Your answer is option 1.
8 0
2 years ago
Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s
kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}

or, At 6.5 % rate

$ 50 =  \dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}

or, 10000 - x =  \frac{5000}{6.5}

Or, 10000 - x = 769.23

∴  x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit  = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And  The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0
3 years ago
Find the measure of DB (a curvy line is on top of DB btw)
klasskru [66]

Answer:

Arc DB = 146

x = 5

Step-by-step explanation:

Remark

The relationship between the large arc, the small arc and the intersecting angle is

1/2 (large arc - small arc) = intersecting angle.

Givens

Large arc = 25x + 21

Small arc = 96

5x

Solution

1/2*(25x + 21 - 96) = 5x*2            Multiply both sides by 2

25x + 21 - 96 = 10 x                     Combine      

25x - 75 = 10x                             Subtract 25x from both sides

-75 = 10x - 25x

-15x = -75

x = 5

DB = 25x + 21

DB = 25*5 + 21

DB = 125 + 21

DB = 146

Tell me if this is not in the choices.

5 0
2 years ago
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