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Answer:

Step-by-step explanation:

[tex]|x-7|+|1-x|>6\\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{For\:}x\le \:1:\quad x<1\\\\\mathrm{For\:}1<x<7:\quad \mathrm{No\:Solution}\\\\\mathrm{For\:}x\ge \:7:\quad x>7\\\\\mathrm{Combine\:the\:intervals}\\\\<1\quad \mathrm{or}\quad \mathrm{No\:Solution}\quad \mathrm{or}\quad \:x>7\\\\x<1\quad \mathrm{or}\quad \:x>7[/tex]

Answer:

A. 6

Step-by-step explanation:

1. Find the lowest common denominator of the fractions: the lowest common factor of the existing denominators. Here it would be 2 x 3= 6. This is the lowest number that could be the denominator of all of the fractions.

2. Convert all of the fractions so that they have the lowest common denominator.

To do this:

[tex]\frac{x}{2}[/tex] x [tex]\frac{3}{3}[/tex] (equivalent to 1, so doesn't change value of fraction)= [tex]\frac{3x}{6}[/tex]

[tex]\frac{x}{3}[/tex] x [tex]\frac{2}{2}[/tex]= [tex]\frac{2x}{6}[/tex]

[tex]\frac{25}{3}[/tex] x [tex]\frac{2}{2}[/tex]= [tex]\frac{50}{6}[/tex]

3. Now, since all of the fractions have the same denominator (all of the top numbers are divided by the same number on the bottom), then entire equation can be multiplied by this number to eliminate the fractions.

([tex]\frac{3x}{6} + \frac{2x}{6} = \frac{50}{6}[/tex]) x 6 gives us: 3x + 2x=50

4. So, the answer would be A. 6, as this is the number that we multiplied the equation by to remove the fractions.

Answer:

I hope this helps.

Step-by-step explanation:

Step-by-step explanation:

Let the ticket sold to the students be x, and the one sold to the non-students be y.

2.5x + 4y = 1012.50

x + y = 285

2.5x + 4y = 1012.50

2.5x + 2.5y = 285*2.5

1.5y = 1012.5 - 712.5

1.5y = 300

3y/2 = 300

y = 300 *2/3 = 200

x = 285 - 200 = 85

Therefore 200 tickets and another kind of 85 tickets were sold.

Answer: y+4=3(x-2)

slope intercept form : y=3x-10

Step-by-step explanation:

The required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Given line = y = 3x
The slope of the above line is,
m = 3
Line L parallel to line y = 3 x
so the slope of both lines will be the same,
Now,
The equation line passes through the point (4, -3),
Point slope form of the line,
y - y₁  = m (x - x₁)
y + 3 = 3 (x - 4)
y =3x - 12 -3
y = 3x - 15

Thus, the required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

Learn more about slopes here:
https://brainly.com/question/3605446

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Answer:

2^4 x 5

Step-by-step explanation:

Step-by-step explanation:

I hope u understood it....

Answer:

C = 24 pi meters

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi * 12

C = 24 pi meters

Answer:

24π

Step-by-step explanation:

The circumference of a circle uses this equation: [tex]2\pi r[/tex]. Just like the last question I answered, you want to give the answer in terms of pi, so we aren't going to multiply pi.

The question gives us the radius so we don't have to divide anything, we plug in r with 12 as is.

[tex]C=2\pi 12[/tex]

Now multiply the 2 and the 12 so it will be in terms of pi.

[tex]C=24\pi[/tex]

In terms of pi, the circumference is 24π.

Answer:

1)37.68

2) 113.04

Step-by-step explanation:

So for number 1, circumfence is diameter times pi, so diameter is 12 and assuming 3.14 for pi then 12(3.14)=37.68

Number 2, the area of a circle is pi(radius)^2 so we know the diameter is 12 and to find raidus we divide 2 since raidus is half of the diameter, square the radius which is 6^2 which will give you 36, assuming pi is 3.14 multiply 36 by 3.24, 36(3.14)=113.04

Answer:

Answer:

b

Step-by-step explanation:

Answer:

i don't understand your question

Answer:

Please Elaborate the question, I cannot understand

Answer:

pretty sure its c

Step-by-step explanation:

4s+6a represents how much money the tickets cost per person and they want to raise at least 1600 dollars

s+c represents how many people and they want at least 300 people to attend.

not sure what that last bit is but c is the most logical answer

Answer:

Step-by-step explanation:

I think it is 75%  

Answer:

The answer is 75%

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the roots of quadratic equation to be 5 and 2/3, the two factors are x-5 and x-2/3.

The variable in question are both subtracted from the root given to get the actor of the quadratic equation or polynomial. We can get the resulting quadratic function by multiplying both factors together as shown;

(x-5)(x-2/3)

= x²- 2x/3 -5x +10/3

= x²-(2x-15x)/3+10/3

= x²-17x/3 +10/3

Multiply through by 3

= 3x²-17x +10 = 0

The resulting quadratic equation for both factors will be  3x²-17x +10 = 0 and the other factor is x-2/3

Answer:

90

Step-by-step explanation:

180-90

clockwise-counterclockwise

A single rotation of 90° in the clockwise direction is equivalent to the rotation given.

For the image of a figure to overlap with itself, the figure should be rotated by 360°

We have a image that is is rotated 180°clockwise, then 90° counterclockwise.

The rotation of the image which is is rotated 180°clockwise first and then 90° counterclockwise can be replaced by a single rotation of 90° in the clockwise direction. Mathematically -

Ф = + 180° + (-90°) = + 90°

Therefore, a single rotation of 90° in the clockwise direction is equivalent to the rotation given.

To solve more questions on image translations, visit the link below -

brainly.com/question/12802031

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Answer:

I'm pretty sure it's b, hope it's right

All the work is attached for you below.

Answer:

,the value of y is 27 degrees.

Step-by-step explanation:

Since the opposite angles of a parallelogram are equal, we know that angle x is also 51 degrees.

Now, we can use the fact that the sum of angles in a triangle is 180 degrees to find the missing angle, which we can label as z.

x + y + z = 180

51 + y + z = 180

y + z = 129

We can also see that angle z and angle 78 form a straight line, so they add up to 180 degrees.

z + 78 = 180

z = 102

Now we can solve for y:

y + z = 129

y + 102 = 129

y = 27

Answer:

[tex]f(x+h)=- 2x^2-4xh-2h^2 + 2x+2h + 8[/tex]

[tex]f ( x + h ) - f ( x )= h(-4x-2h+2)[/tex]

Step-by-step explanation:

Given the function:

[tex]f ( x ) = - 2x^2 + 2x + 8[/tex]

Find

Recall the identity to square a binomial:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]f(x+h)=- 2(x+h)^2 + 2(x+h) + 8[/tex]

Squaring the binomial:

[tex]f(x+h)=- 2(x^2+2xh+h^2) + 2(x+h) + 8[/tex]

Multiplying:

[tex]\boxed{f(x+h)=- 2x^2-4xh-2h^2 + 2x+2h + 8}[/tex]

--------------------------------------------------------------

To compute f ( x + h ) - f ( x ), we use the last result:

[tex]f ( x + h ) - f ( x )=- 2x^2-4xh-2h^2 + 2x+2h + 8-(- 2x^2 + 2x + 8)[/tex]

Multiplying:

[tex]f ( x + h ) - f ( x )=- 2x^2-4xh-2h^2 + 2x+2h + 8+ 2x^2 - 2x - 8[/tex]

Simplifying similar terms:

[tex]f ( x + h ) - f ( x )= -4xh-2h^2+2h[/tex]

Factoring:

[tex]\boxed{f ( x + h ) - f ( x )= h(-4x-2h+2)}[/tex]

Note: This expression is commonly used to compute the first derivative of a function by its definition.

The first step of factoring is to see what you can take out. You are able to take out a 4 from each number; making the 4 become just x and 12 becoming 3 since 4*3=12.

Final Answer : 4(x-3y)

Answer:

x = -4 or x = 5

Step-by-step explanation:

hope it helped

[tex]\left \{ {{x+4=0} \atop {x-5=0}} \right. \\\left \{ {{x=-4} \atop {x=5}} \right.[/tex]

Thus, x= -4. 5

Answer:

I think that the answer is 83 but im not sure. I tried to solve it and i got 83. I hope its right.

Answer:

33

Step-by-step explanation:

92.4/2.8 = 33

Answer:

[See Below]

Step-by-step explanation:

[tex]Hey~There![/tex]

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→ Divide:

_____________________

[tex]Hope~this~helps![/tex]

[tex]-Shane,~SpamIsTheMan :)[/tex]

Answer:

The discriminant is 328

if we solve the quadratic equation

ax^2+bx+c=0

we will get our answer

Answer:

The answer is "[tex]\bold{ y^{ \frac{2}{3}}} = \frac{2}{3}x + c} \\\\[/tex]"

Step-by-step explanation:

By using the given method we  separate the above-given variable and  find the solution of:

[tex]\bold{\frac{dy}{dx} =y^{\frac{1}{3}}}[/tex]

Solution:

[tex]\to \frac{dy}{dx} =y^{\frac{1}{3}}\\\\\to \frac{dy}{y^{\frac{1}{3}}} =dx\\\\\to y^{ - \frac{1}{3}} dy =dx\\\\[/tex]

Integrate the above value:

[tex]\to \int y^{ - \frac{1}{3}} dy = \int 1 dx\\\\\\\to \frac{y^{ - \frac{1}{3} +1}}{- \frac{1}{3} +1} = x \\\\ \\\to \frac{y^{ \frac{-1 +3}{3}}}{ \frac{-1+3}{3} +1} = x \\\\\\\to \frac{y^{ \frac{2}{3}}}{ \frac{2}{3} +1} = x \\\\\\\to \bold{y^{ \frac{2}{3}}} = \frac{2}{3}x + c} \\\\[/tex]

Answer:

0

Step-by-step explanation: