How to find domain of (1/x-3)(x^2-x-12)

Given :-

To Find :-

Solution :-

The given triangle is a right isosceles triangle . So here we can use the Pythagoras theorem as ,

[tex]\longrightarrow[/tex] hypotenuse² = perpendicular ² + base²

[tex]\longrightarrow[/tex] x² = 4² + 4²

[tex]\longrightarrow[/tex] x² = 16 + 16

[tex]\longrightarrow[/tex] x² = 32

[tex]\longrightarrow[/tex] x = √32

[tex]\longrightarrow[/tex] x = √2⁵

[tex]\longrightarrow[/tex] x = 4 × 1.732

[tex]\longrightarrow[/tex] x = 6.928 ≈ 7

Answer:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: 7/18 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

7 is a prime number;

18 = 2 × 3^2;

gcf (7; 2 × 3^2) = 1;

Fraction: 13/36 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

13 is a prime number;

36 = 2^2 × 3^2;

gcf (13; 2^2 × 3^2) = 1;

Reduce (simplify) fractions to their simplest form, online calculator

Step-by-step explanation:

I really hope that that will be helpful to you

Below!

The lines are not parallel because the slope is not the same for both equations. If a slope is the same with different y-intercepts, the two line will eventually be parallel. However, if a line has same slope and y-intercept, then there will be infinite solutions to the equation.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

I think this is what is wanted

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

A ratio table means that each number in the first column is multiplied by the same number to get the answer in the 2nd column

Answer:

i dont know sry

Step-by-step explanation:

Answer:

You can use the method of substitution.

Let the advance and same-day tickets be x and y respectively.

x + y = $70 ---> (1)

25x + 35y = $2050 ---> (2)

From Statement (1):

Let (1) × 25

25x + 25y = $1750

10y = $2050 - $1750

      = $300

y = $300 ÷ 10

  = $30 ---> (3)

From Statement (3):

Substitute (3) into (1)

x + $30 = $70

x = $70 - $30

  = $40

Advance ticket: $40

Same-day ticket: $30

Answer:

C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection

Step-by-step explanation:

A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer

Answer:

  see attached

Step-by-step explanation:

The "slope-intercept" form of an equation for a line is ...

  y = mx + b . . . . . . slope m, y-intercept b; m = rise/run

__

There are several ways to graph equations for a line. One is to make use of the intercepts. That is easiest when their coordinates are integer values. The second inequality is in slope-intercept form, so it is easy to see that its y-intercept is -2.

The first inequality can be put into slope-intercept form by solving for y. That is easily done here by subtracting 6x:

  y ≤ -6x +10

This shows you the boundary line has a slope of -6 and a y-intercept of 10. To graph it, you can plot the points (0, 10) and (1, 4) and draw a line through them. The point (1, 4) is found by using a "rise" of -6 and a "run" of 1 from the y-intercept:

  m = -6 = rise/run = -6/1

  (y-intercept) + (run, rise) = (0, 10) +(1, -6) = (1, 4) . . . . another point on the line

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Similarly, the boundary line of the second inequality goes through its y-intercept (0, -2) and the point (y-intercept) +(1, 5) = (1, 3). Points (0,-2) and (1, 3) are two points on that boundary line.

__

In both cases, the inequality includes the "or equal to ..." case, so the boundary line is part of the solution set. Accordingly, each is drawn as a solid line (not dashed).

__

To determine where the shading is, you can choose any term with a positive coefficient and look at where it is in relation to the inequality symbol. For your two inequalities, we can look at the left side of the inequality.

  first: 6x ≤

  second: y ≥

These tell you the first solution set is shaded to the left of the boundary line (where x-values are less than those on the line). The second solution set is shaded above the boundary line (where y-values are greater than those on the line). The solution set for the system of inequalities is the doubly-shaded area to the left of both boundary lines.

_____

Additional comment

The x-term in the second inequality has a positive coefficient also. If we were to look at that one, we would see ≥ 5x. That is, the boundary line has greater x-values than those in the solution set, so it, too, will be shaded to the left. (Left and above are the same half-plane for a line with positive slope.)

If both coefficients are negative, you can multiply by -1, which will also reverse the inequality symbol.

Example: -x-y>6 ⇒ x+y<-6; shaded left or below dashed line.

Answer:

  E  840 cm

Step-by-step explanation:

For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...

  (20 cm)(2 × 21) = 840 cm

_____

Additional comment

In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.

In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).

This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)

Answer: C

Step-by-step explanation:

Step-by-step explanation:

I am sorry but I cannot see your question

Answer:

C(t)=0.10t + 25

Step-by-step explanation:

gradient = change in y/ change in x = 5/50 = 0.10

the y intercept is 25

so the equation is y = 0.1t + 25

Answer:

Step-by-step explanation:

Answer:

64 ft

Step-by-step explanation:

A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

Answer:

[tex]V(x)=4x^3-112x^2+720x[/tex]

Step-by-step explanation:

[tex](36-2x)(20-2x)x[/tex]

[tex](720-72x-40x+4x^2)x[/tex]

[tex](4x^2-112x+720)x[/tex]

[tex]4x^3-112x^2+720x[/tex]

Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]

Step-by-step explanation:

to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.

4.645 rounded to the nearest whole number = 5

answer ?

30 or 30W

Step-by-step explanation:

this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30

Answer:

4 Hours

Step-by-step explanation:

2 1/6 = 13/6

1 5/6 = 11/6

13/6+11/6= 24/6

Simplify 24/6 which will give you 4

Answer:

3. The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:

1, 4, 9, 16, 25

The 3 answers are:

First, look at the difference between each of the terms.

[tex]4-1=3\\9-4=5\\16-9=7[/tex]

Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.

Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.

Answer:

300kms

Step-by-step explanation:

900÷300 is 300. so then i think it would be 300kms

B. 1, 3, 9, 27

Geometric Sequence is being multiplied by factor of 3.

Step-by-step explanation:

He can choose the dispay boxes that are 0.5 in, 1/4 in, and 3/8 in

Hope this helps

May I get braineist pls?

Answer: to number 1 :The area of the square increases by 96% to number 2:  increase in width = 50%

Step-by-step explanation

Answer:

962

Step-by-step explanation: 30²- 6² is 962

Answer:

The mode is 31

good luck naka

Answer:

  b.  256 m²

  d.  324 cm²

  f.  35 in²

Step-by-step explanation:

The shaded area is the difference between the areas of the outer rectangle and the inner one:

  A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²

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The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:

  A = (27 cm)(12 cm) = 324 cm²

You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.

__

The triangle area formula applies.

  A = 1/2bh = 1/2(4" +10")(5") = 35 in²

_____

Additional comment

The formula for area of a rectangle is ...

  A = LW . . . . . the product of length and width