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alisha [4.7K]
3 years ago
11

class="latex-formula">
Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

\frac{5}{12}

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

\frac{13}{12}-\frac{2}{3}

Convert to a common denominator,

\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})

\frac{13}{12}-\frac{8}{12}

Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,

\frac{5}{12}

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Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Delvig [45]

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

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4 years ago
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4 years ago
Graph x^4-3x^2+x. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the inte
Brums [2.3K]

Functions, equations and tables can be represented using graphs

  • The x-intercepts are: 0, 0.35 and 1.53
  • The local maximum is at point (0.17, 0.08), and the local minimum is at point (1.13, -1.07)

The expression is given as:

x^4-3x^2+x

Rewrite the expression as a function

f(x) =  x^4-3x^2+x

See attachment for the graph of the function.

<h3>The x-intercepts</h3>

This is the point where the graph cross the x-axis.

From the attached graph, the x-intercepts are: 0, 0.35 and 1.53

<h3>The local maximum</h3>

From the attached graph, the local maximum is at point (0.17, 0.08)

<h3>The local minimum</h3>

From the attached graph, the local minimum is at point (1.13, -1.07)

<h3>Intervals</h3>
  • The graph increases at interval (-1.30, 0) and (1,13, infinity)
  • The graph decreases at interval (- infinity, 1.30) and (0.35, 1.13)

Read more about graphs and functions at:

brainly.com/question/13136492

4 0
2 years ago
A box contains a collection of triangular and square tiles. There are 25 tiles in the box and 84 edges . How many square tiles a
NikAS [45]
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:

x + y = 25                    and               4x + 3y = 84

The first one would refer to the number of tiles and the second one to number of edges.

We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with          x = 25 - y           which would look like this:

4 (25 - y) + 3y = 84

Solve.

100 - 4y + 3y = 84
-4y +3y = 84 - 100
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y = 16

Then:
x = 25 -y
x = 25 - 16
x = 9

So the answer is that there are 9 square tiles and 16 triangular tiles.
4 0
3 years ago
Write the equation of a line that goes through point (0,1) and has a slope of 0
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Answer:

1 = y

Step-by-step explanation:

The y-intercept is [0, 1], so you draw a horizontal line through the line y = 1., which is considered a zero <em>slope</em><em> </em>[<em>rate</em><em> </em><em>of</em><em> </em><em>change</em>].

I am joyous to assist you anytime.

5 0
4 years ago
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