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dexar [7]
3 years ago
5

The variables x and y vary directly. if one pair of the values is x = 3 and y = 12, write an equation that shows the relationshi

p between x and y.

Mathematics
2 answers:
8090 [49]3 years ago
7 0
The variables x and y vary directly. if one pair of the values is x = 3 and y = 12, write an equation that shows the relationship between x and y.

Leno4ka [110]3 years ago
6 0
If they vary directly then they increase at the same amount
This can be written out with the equation
y/x=k k being the constant of the variation
In this case 12/3=4 the constant is 4
So you can say y=4x
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masya89 [10]

Answer:

It is a function because the x values don't repeat

Step-by-step explanation:

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2 years ago
The sum of three certain consecutive numbers is 240. Find the 3 numbers.
BartSMP [9]

Answer:79 , 80 , 81

Step-by-step explanation:What three consecutive integers have a sum of 240? What three consecutive integers have a sum of 240? Which means that the first number is 79, the second number is 79 + 1 and the third number is 79 + 2. Therefore, three consecutive integers that add up to 240 are 79, 80, and 81.

5 0
3 years ago
A. Plot the data for the functions f(x) and g(x) on a grid and connect the points.
labwork [276]

Answer:

  a) see the plots below

  b) f(x) is exponential; g(x) is linear (see below for explanation)

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Step-by-step explanation:

a) a graph of the two function values is attached

__

b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.

4 0
3 years ago
Write an equation in slope-intercept form for the graph shown.
worty [1.4K]

Answer:

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7 0
2 years ago
Read 2 more answers
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all
Ymorist [56]

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

<u>We can set up an equation that's essentially:</u>

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

6 0
1 year ago
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