5(x-6)+3x=.75(2x-8)
solve.

Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

<95141404393>

To find the scale factor for a dilation, we find the center point of dilation

A dilation is a transformation that enlarges or reduces a figure in size. This means that the preimage and image are similar and are either reduced or enlarged using a scale factor.

A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.

If the scale factor is between 0 and 1 the image is a reduction

If the scale factor is greater than 1, the image is an enlargement

To find the scale factor for a dilation, we find the center point of dilation Measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.

The ratio of these distances gives us the scale factor

Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the preimage and image have the same scale factor.

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Step-by-step explanation:

7x-5=30

Firstly -5 will cross the equality sign and become +5. so we'll have

7x=30+5=35

7x=35 we'll divide both sides by 7

giving u

7x/7=35/7

=x=5

therefore x=5.

CONFIRMATION

7*5-5=30

PLS MARK ME AS BRAINLIEST

Answer:

Step-by-step explanation:

Solve for X:

The  work required to pump the water out of the spout is 70.9 * 10⁶ joules which is 71 M Joules approx.

Let the spherical tank be divided into a series of horizontal disks.

Let x be the height of each disk, g = gravity and p = density

Volume of each disk = πr2dx

Where r is the radius of each disk and dx is the thickness

By Pythagoras r² = 6² - x²= 36 -x²

Therefore Volume = π*(36-x²)*dx cubic metres

The distance each disk has to be lifted to escape the top of the spout = 2 + 6-x meters = (8-x)

Work needed to lift each disk to outlet = distance * mass where

mass = volume * density * gravity

        = pi(36-x²)*p*g = 9800pi(36-x²)dx

dW =  (8-x)* 9800pi(36-x²)dx

Since we have already accounted for the height of the spout, the work required is obtained by integrating the above expression from the bottom of the tank to the top. In other words, - 6 to + 6.

W = ⌠(8-x)*9800pi(36-x2)dx = 9800pi⌠[288 - 36x - 8x² +x³]dx

The odd terms evaluate to zero and we can rewrite the above as 2* I from 0 to 6.

W = 9800pi*2 [288x - 8x³/3] at x = 6 = 1152*19600π Joules = 22579200π joules = 70963200j

Total work required = 70.9 * 10⁶ joules

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Answer:

8640

Step-by-step explanation:

Answer:

To find out whether there is a production level that minimizes the average cost, we need to find the average cost function first. The average cost (AC) function is given by:

AC(x) = C(x)/x

where C(x) is the cost function and x is the production level.

Substituting the given cost function into the above equation, we get:

AC(x) = (x^3 - 10x^2 - 30x)/x

AC(x) = x^2 - 10x - 30

To find the production level that minimizes the average cost, we need to find the derivative of the average cost function and set it equal to zero:

AC'(x) = 2x - 10

Setting AC'(x) = 0, we get:

2x - 10 = 0

2x = 10

x = 5

Therefore, the critical point of the average cost function is x = 5, which means that there may be a production level that minimizes the average cost. To confirm whether this is a minimum or maximum point, we need to find the second derivative of the average cost function:

AC''(x) = 2

Since AC''(5) = 2 is positive, we can conclude that the critical point x = 5 is a local minimum of the average cost function. Therefore, there is a production level of 5,000 units that minimizes the average cost

Answer:

$14.00

Step-by-step explanation:

First you round 3.75 to 4.00 because 7 is greater than 5 so it would turn the 3 to 4 than add the zeros it's 4.00. Second You multiply by three so 4.00 × 3 you will get 12.00. Than you round 1.89 to 2.00 because 8 is greater than 5 so it would turn to the 1 to the 2 than add the zeros it's 2.00. Finally you add them together and get $14.00

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

Answer:

79 degrees

Step-by-step explanation:

180 - 73 - 28 = 79

Because a line is 180 degrees

Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     \(\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1\)

               ⇒     \(\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1\)

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Answer: 41

Step-by-step explanation:

Equation of line perpendicular to  y = 4x+5 passing through point (8,3) is  

                   y = -x/4 + 5

Perpendicular Lines:

                          A pair of perpendicular lines are straight lines that makes an angle of 90° with one another. Product of slope of perpendicular lines is -1.

          that is,   m1.m2 = -1

                 where m1 and m2 are slope of lines

Given equation of line is  y = 4x+5   and point (8,3)

              we have to find the equation of line perpendicular to  y = 4x+5

    we know for the line,

                                   y = mx + c

         slope = m and c = Intercept on Y axis

so, slope of line y = 4x + 5 is

                                    m = 4

slope of line perpendicular to y = 4x+5 is m1= -1/4

again, we know equation of line passing through (x1,y1),having slope m is

                          y - y1 = m (x - x1)

thus for slope = -1/4 and point (8,3) equation of line will be

                   y - 3 = -1/4 (x - 8)

                   y - 3 = -x/4 + 2

                   y = -x/4 + 5

Hence, equation of line perpendicular to  y = 4x+5 passing through (8,3) is       y = -x/4 + 5

                 option B is correct

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Answer:

20.8333333

Step-by-step explanation:

6 x 20.8333333 = 125

Answer:

a. 8

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

Answer:

  a.  given ∠1≅∠2, the converse of the corresponding angles theorem shows l║m.

Step-by-step explanation:

There are several things you need to know to be able to answer this question.

__

You are given ∠1 ≅ ∠2, so the hypothesis of the converse of the corresponding angles theorem is already true. The conclusion that the lines are parallel is what you are asked to prove. To prove that, you only need to identify the angles as being corresponding, and invoke the theorem. The logic matches answer choice A.

 ∠1≅∠2 is given. The diagram shows ∠1 and ∠2 are corresponding angles, so by the converse of the Corresponding Angles Theorem, l║m.

The correct answers are:

Functions are expressions separated by an equal sign. They have both dependent and independent variables.

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

 -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

  8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

 (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

 written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

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Answer:

Coordinates of center: (0, 5)

Radius of circle: 3

the answer would be 2 but you would have 2 players left over

There will be 3003 hockey teams of 6 players who can be formed from 14 players without regard to the position played.

The variety of possible arrangements of a set is its permutation; order is important in permutations but not in combinations. Combinations are mathematical operations that count the variety of configurations that may be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order. Permutations and combinations are often mistaken.

The number of hockey teams of 6 players can be formed from 14 players without regard to the position played is,

=14C₆

=3003

Thus, there will be 3003 six-player hockey teams that may be assembled from 14 players, regardless of the positions they play.

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Problem 5

A counterexample could be a number like 6. Divide it over 2 and we get 6/2 = 3, which is a whole number. This shows 6 is a multiple of 2. However, 6/4 = 1.5 is not a whole number, so 6 is not divisible by 4. The overall claim is false.

======================================================

Problem 6

Let's say we are subtracting a positive number and a negative number. For instance, let's say we're subtracting 10 and -7

So,

10 minus -7 = 10 - (-7) = 10+7 = 17

When subtracting a negative, the two minus signs cancel to form a plus sign. The result we get is 17, which is larger than the greater number 10. So this is one counterexample that proves the claim to be false.

======================================================

Problem 7

Start with a circle. The circle can be any size. Plot four random points on the circle. The points can be anywhere you want. Let's label those points A,B,C,D. Form quadrilateral ABCD.

Now let's say we pick point A and pull it off the circle and pull it outside the circle. Points B,C and D remain on the circle. This is one example where we cannot draw a circle through this new arrangement of points. The circle goes through B,C, and D just fine; however, it doesn't go through point A. If you try to attempt to get the circle to go through A, then you'll have to pick B,C or D to ignore. In other words, you'll only be able to pick three points that the circle can go through. Therefore, a circle cannot be drawn as described for every quadrilateral.

Note: Any quadrilateral that has all four points on the same circle is known as a cyclic quadrilateral.

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Option three log3 + log(x+4) is the equivalent to the logarithm expression  log3(x+4).

It is given that logarithm expression is log3(x+4).

It is required to simplify the above equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

aᵇ = c

logₐc = b

We have logarithm expression:

log3(x+4)

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

log xy = logx + logy

By using this property we get:

log3(x+4)

= log3 + log(x+4)

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three log3 + log(x+4) is the equivalent to the logarithm expression log3(x+4).

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9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.

__

You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).

The range of the graph of the exponential function is (b) {y | y > 0}

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

(3,-1)

Step-by-step explanation:

So we have the system of equations:

\(3x+y=8\\2x-y=7\)

As directed, add straight down. The y-variable will cancel:

\(5x=15\)

Now, divide both sides by 5. The left cancels:

\(x=3\)

So x is 3.

Now, substitute 3 for x in either of the equations:

\(3x+y=8\)

Substitute 3 for x:

\(3(3)+y=8\)

Multiply:

\(9+y=8\)

Subtract 9 from both sides:

\(y=-1\)

So, our answer is: x=3, y=-1 or (3,-1).

And we are done :)

Answer:

Step-by-step explanation:

a

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Where the above is given, Option B has the highest overall cost by  $685.50.

To find the   option would result in the highest overall cost for the employee, we need to calculate the total cost under each option.

Option A

Monthly premium: $94

Prescription coverage: 80%

Total cost under Option A

Monthly premium: $94

Prescription costs covered: 80% of $1,250

= $1,000 (since the employee estimates filling 10 prescriptions totaling $1,250)

Employee's portion of prescription costs: 20% of $1,250 = $250

Overall cost  = $94 + $250 = $344

Option B

Monthly premium $42

Prescription coverage  75% for first $500, then 85% for costs over $500

Total cost under Option B

Monthly premium: $42

Prescription costs covered up to $500: 75% of $500 = $375

Prescription costs covered over $500is

85% x  ($1,250 - $500)

= 85% of $750

= $637.50

Employee's portion of prescription cost is
($1,250 - $375) + ($750 - $637.50)

= $875 + $112.50

= $987.50

Overall cost: $42 + $987.50 = $1,029.50

Hence Option B has the highest overall cost by $1,029.50 - $344 = $685.50.

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