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3 years ago

The variables x and y are directly proportional, and y=2 when x=3. what is the value of y when x=9?

2 answers:

8 0

X varies directly as y
x = ky
3 = 2k
k = $\frac{3}{2}$
when x =9
9 = $\frac{3}{2}$ y
$\frac{18}{3}$ = y
∴y = 6

please mark as brainliest

olasank [31]3 years ago

8 0

If x and y are directly proportional, x = ky
When x = 3, y = 2.
So 3 = 2k
k = 3/2
So x = 3y/2
When x = 9,
9 = 3y/2
18 = 3y
y = 6
So when x = 9, y = 6.
Please mark my answer as brainliest. Thank You!

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Using algebra, find the point at which the line k(x) = 5x - 1 intersects with the line h(x) = -3x - 1 ?

vichka [17]

The point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)

Given: k(x) = 5x - 1, h(x) = -3x - 1

We need to find the point(if any) at which these two lines k and h meets.

To find point of intersection(if any), we need to set the functions equal as at the point of intersection the (x, y) value will be same for both of the lines.

Therefore, k(x) = h(x)

=> 5x - 1 = -3x - 1

=> 8x = 0

=> x = 0

k(x=0) = 5 * 0 - 1 = -1

Hence the point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)

Know more about "point of intersection" problems here: brainly.com/question/16929168

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2 years ago

Solve for a: За - 5(а - 2) = 34

Ksju [112]

Answer:

a= -12

Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

Factor 1/3 out of 1/3p-2/3 please answer this! Easy 20 points!

Tju [1.3M]

Answer:

$\frac{1}{3} (\frac{1}{p} - 2)$

Step-by-step explanation:

Given the equation = $\frac{1}{3p} - \frac{2}{3}$

Required: To factor out 1/3;

$\frac{1}{3p} - \frac{2}{3}$

1/3 is common to both sides;

So, 1/3 is a common factor

$\frac{1}{3} (\frac{1}{p} - 2)$

To solve for the value of p;

$\frac{1}{3} (\frac{1}{p} - 2)$ = 0

$\frac{1}{p} - 2 = 0$

$\frac{1}{p} = 2$

$1 = 2p$

$p = \frac{1}{2}$

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3 years ago

How many times larger than 2x10^3 is 6x10^6?

Zielflug [23.3K]

Answer: 5,998,000

Step-by-step explanation:

2x10^3= 2,000

6x10^6= 6,000,000

In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.

In this case, the 10^x, the x can represent the number of zeros after our first value.

So, 6 + six zeros, or 6,000,000

and, 2 + 3 zeros, or 2,000

To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).

So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!

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3 years ago

The sum of three numbers is 101. The second number is 4 more than two times the first number. The third number is 5 less than th

dem82 [27]

Answer:

Step-by-step explanation:

Given

Let the first number = x

Let the second number = 2x + 4

Let the third number = 3x -5

The sum of the three numbers = 101

Equation

x + 2x + 4 + 3x - 5 = 101 Combine like terms on the left

x + 2x + 3x + 4 - 5 = 101 Combine

6x - 1 = 101 Add 1 to both sides

6x = 101 + 1

6x = 102 Divide by 6

6x/6 = 102/6

x = 17

Answer

The first number = 17

The second number = 2*17 + 4 = 34 + 4 = 38

The Third number = 3*17 - 5 = 51 - 5 = 46

Check

17 + 38 + 46 = 101

8 0

3 years ago