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diamong [38]
2 years ago
12

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Mathematics
1 answer:
alukav5142 [94]2 years ago
4 0

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

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Help plz with this math problem. I’m so confused
Lunna [17]

Slope-intercept form is written as <em>y = mx + b</em>, where m is the slope and b is the y-intercept.

From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).

                                       

The equation to find the slope is:

m = \frac{y2 - y1}{x2 - x1}

Let's substitute in our values:

m = \frac{-2 - -4}{6 - 3}

Remember that two negatives make a positive, let's solve for m:

m = \frac{2}{3}

Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).

Therefore we can determine that b = -6.

Let's substitute our value for m and our value for b into the slope-intercept formula:

y = mx + b

<u>y = </u>\frac{2}{3}<u>x + -6</u>

There's your final answer! I hope this helps, have a great night. :)

6 0
3 years ago
Which number produces an irrational number when multiplied by 0.4
vovikov84 [41]
Assuming 0.4 is in fact, 2 divided by 5 (and not an approximation of some number that would require an infinite amount of decimal places to exactly express), then multiplication by 0.4 is the same as multiplying by 2 and dividing by 5.

This means that multiplying any rational number by 2/5 will yield another rational number (as given x/y as an input, where x and y are integers, and multiplying it by 2/5 giving 2x/5y, will mean that 2x and 5y are also integers, and the result is also rational)

If we multiply an irrational number by 2/5, however, the result will be irrational.

So your answer is any number not in the set of rational numbers, multiplied by 0.4, will yield an irrational number.

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Mandarinka [93]
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3 years ago
Due NOW!!! Please help!
tia_tia [17]

Answer:

At x = 7 and x= 1

Step-by-step explanation:

Set each equation equal to 0 and solve.

x - 7 = 0

x = 7

x-1 =0

x = 1

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2 years ago
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