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ohaa [14]
3 years ago
6

10. Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

y = 6

Step-by-step explanation:

We need to interpret the question

y varies directly as x

y varies x

To equate it, we need to add a constant K

y = K/x

Using the information we are provided with

y = 9

x = 3/2

insert into

y = Kx

9 = K * 3/2

9 = 3K/ 2

3K = 9 *2

3k = 18

To get K, divide through by 3

3K/3 = 18/3

K = 6

Since we've gotten our K = 6

y = Kx

Using the new information

y = ?

x = 1

K = 6

y = 6* 1

y = 6

The new y = 6 , x =1

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olga2289 [7]
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4 0
2 years ago
1 and 16/24 + 1 and 21/24
AlexFokin [52]

Answer:

turn into improper fractions

1*24+16=40

40/24

1*24+21=45

45/24

40/24+45/24=85/24

work out how many times 24 goes into 85 to get back to a mixed number.

24 goes into 85 three times with 13 left over so the answer is

3 and 13/24

6 0
2 years ago
2x+7 =5 is an example of...
tresset_1 [31]

Answer:

This is an example of distribution

Step-by-step explanation:

The reason why is because the equation is linear and if you exclud the y it show that it can distribute.

6 0
3 years ago
Solve y = -25x + 600
olga nikolaevna [1]

Answer:

-\frac{y}{25} +24

Step-by-step explanation:

.

5 0
2 years ago
Solve the eqauation 76a^3+19a^2+16a=-4
Crazy boy [7]

Answer:

The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4

Step-by-step explanation:

Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.

The equation can also be written as (76a³+19a²)+(16a+4) = 0

On factorizing out the common terms from each parenthesis, we will have;

19a²(4a+1)+4(4a+1) = 0

(19a²+4)(4a+1) = 0

19a²+4 = 0 and 4a+1 = 0

From the first equation;

19a²+4 = 0

19a² = -4

a² = -4/19

a = ±√-4/19

a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)

From the second equation 4a+1 = 0

4a = -1

a₃ = -1/4

6 0
3 years ago
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