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artcher [175]
3 years ago
5

A number is 1/7 of another number. The difference of the numbers is 18 (Assume that you are subtracting the smaller number from

the larger number.) Find the numbers
Mathematics
1 answer:
Igoryamba3 years ago
8 0
The smaller number is 3. The larger number is 21. 

You can get this using the following system of equations and solving by any method. 

x - (1/7)y = 0
-x + y = 18
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yarga [219]

Answer:

See below

Step-by-step explanation:

A) In part 1, the bus is increasing in speed. In part 2, the bus keeps a steady pace. In part 3, the bus is slowing down. In part 4, the bus is once again keeping a steady pace. In part 5, the bus is increasing in speed once again.

B) Parts 1 and 5 are increasing, part 3 is decreasing, and parts 2 and 4 are constant.

C) This graph is non-linear. Linear means straight, and this graph is constantly increasing and decreasing. Thus, it is non-linear.

7 0
3 years ago
F(x)
mina [271]

a) Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.

b) The function f(x) = \frac{x}{x^{2}+ x} is equivalent to the function g(x) = \frac{1}{x + 1}.

<h3>How to determine whether a limit exists or not</h3>

According to theory of limits, a function f(x) exists for x = a if and only if \lim_{x\to a^{-}} f(x) = \lim_{x \to a^{+}} f(x). This criterion is commonly used to prove continuity of functions.

<em>Rational</em> functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following <em>lateral</em> limits:

\lim_{x \to -1^{-}} \frac{x}{x^{2}+x} = - \infty

\lim_{x \to -1^{+}} \frac{x}{x^{2}+x} = + \infty

Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.

In addition, we can simplify the function by <em>algebra</em> properties:

\frac{x}{x^{2}+ x} = \frac{x}{x\cdot (x + 1)} = \frac{1}{x + 1}

g(x) = \frac{1}{x + 1}

The function f(x) = \frac{x}{x^{2}+ x} is equivalent to the function g(x) = \frac{1}{x + 1}.

To learn more on lateral limits: brainly.com/question/21783151

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7 0
2 years ago
What fraction is between 1/8 and 5/12
OLga [1]

Answer:

2/8

Step-by-step explanation:

6 0
3 years ago
Solve the simultaneous equation 3x²-xy=0, 2y-5x=1​
ratelena [41]

Answer:

  (x, y) = (0, 1/2) or (1, 3)

Step-by-step explanation:

The first equation factors as ...

  x(3x -y) = 0

This has solutions x=0 and y=3x.

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<u>x = 0</u>

Using this in the second equation gives ...

  2y -0 = 1

  y = 1/2

  (x, y) = (0, 1/2) is a solution

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<u>y = 3x</u>

Using the expression for y in the second equation, we get ...

  2(3x) -5x = 1

  x = 1 . . . . . . . . . simplify

  y = 3x = 3 . . . . using x=1 in the first equation

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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.

4 0
3 years ago
Draw array for each profuct to find the partial products and product dor 18x4=
romanna [79]
18×4=72  :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) your wecome
                                                                                                                                     
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