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makvit [3.9K]
3 years ago
15

If y is directly proportional to x and y = 6 when x = 2, what is the proportion equation?

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Formula for direct proportion: y = kx

Solution:

6 = 2k

~Divide 2 to both sides

3 = k

Best of Luck!

Ivan3 years ago
7 0

Answer:

y = 3x

Step-by-step explanation:

Direct proportion equation is

y = kx

6 = k*2

Divide each side by 2

6/2 = 2k/2

3 =k

The equation is y = 3x

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Select all the expressions that are equivalent to −5/6 / -1/3
Sindrei [870]

Step-by-step explanation:

We need to find an expression for \dfrac{\dfrac{-5}{6}}{\dfrac{-1}{3}}.

We can solve it as follows.

We know that,

\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}

So,

\dfrac{\dfrac{-5}{6}}{\dfrac{-1}{3}}=\dfrac{-5}{6}\times -3\\\\=\dfrac{5}{2}

or

=2\dfrac{1}{2}

Hence, this is the required solution.

3 0
2 years ago
Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2,\pm\sqrt{5}

Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

ie., P(x)=0

P(x)=x^4-4x^3-x^2+20x-20=0

By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

       0      2     -4     -10       20

   _____________________

       1     -2      -5      10      |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

x^3-2x^2-5x+10=0

Again using synthetic division

2_|   1     -2     -5     10      

       0      2      0    -10    

    ______________

       1      0      -5     |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have x^2+0x-5=0

x^2-5=0

x^2=5

x^=\pm\sqrt{5} is a zero of P(x)

Therefore the zeros are 2,2,\pm\sqrt{5}

8 0
3 years ago
Can y’all try to solve some of these for me?
RoseWind [281]

Answer:

The 3rd problem on mondays answer is 2:1

The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.

The 5th problem on monday is 41

The 6th problem on monday is 13,12,11

Can't read the whole problem for the 7th question on monday

the 8th problem on monday is 55 and 8/15

That is the answers for monday hope this helps

Step-by-step explanation:

7 0
2 years ago
Each marble bag sold by Yolanda's Marble Company contains 8 orange marbles for every 5 yellow marbles.
Stells [14]

Answer:

64.

Step-by-step explanation:

By proportion  to number of orange marbles =  (40 / 5) * 8

=  320 / 5

= 64 .

7 0
3 years ago
There are 412 students at sunshine middle school. 225 students are in 5th 6th grade and the rest are in 7th or 8th grades. How m
Arada [10]

Answer:

187 students in 7th or 8th grade

17,088 pages

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A dozen is 12

12 x 16 x 89 = 17,088

4 0
3 years ago
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