An organization founded by businesses in a specific industry for the purpose of collaboration between companies is called a(n):

Option A :  x < -6 is the correct choice.

We have a inequality -

−2x − 4 > 8

We have solve and find the solutions to this inequality.

An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

−2x − 4 > 8

Add 4 on both sides -

-2x - 4 + 4 > 8 + 4

-2x > 12

Multiply both sides by -1, we get -

2x < - 12

Divide by 2 on both sides -

x < -6

Hence, x < -6 represents the solution of the inequality.

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The percentage of sales tax is 5%.

Given that, an item costs $410 before tax, and the sales tax is $20.50.

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Let x% be the sales tax.

Now, x% of 410 = 20.50

0.01x ×410 = 20.50

⇒ 4.1x=20.50

⇒ x=20.50/4.1

⇒ x=5

Therefore, the percentage of sales tax is 5%.

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Step-by-step explanation: When fractions have the same bottom number, they're called like fractions. When adding and subtracting fractions, our goal is to get like fractions or fractions that have the same denominator.

Also, it's easy to compare like fractions because you just have to look at the numerators of each of the fractions you are givemn.

Answer: The answer is (d) BC + CD = BD.

Step-by-step explanation:  We are given the number line and four points A, B, C and D on the line with co-ordinate -6, -1, 2 and 8 respectively.

We are to select the correct statement out of the given four.

(a) L.H.S. = AB + BC = 5 + 3 = 8,

    R.H.S = AD = 14 ≠ 8.

So, this option is incorrect.

(b) L.H.S. = AB + BC = 5 + 3 = 8,

    R.H.S = CD = 6 ≠ 8.

So, this option is incorrect.

(c) L.H.S. = BC + CD = 3 + 6 = 9,

    R.H.S = AD = 14 ≠ 9.

So, this option is incorrect.

(d) L.H.S. = BC + CD = 3 + 6 = 9,

    R.H.S = BD = 9.

So, this option is correct.

Thus, the correct option is (d).

The function g(x) has a minimum value of 0, but we cannot determine the maximum value of g(x) or compare it to the maximum value of f(x). The statements about the maximum value of ƒ(x) and the lack of minimum value for both functions are not supported by the given information.

The function g(x) is a continuous quadratic function that can be represented by a parabola. From the given table, we can observe that the minimum value of g(x) is 0 and it occurs when x = -3 or x = 3. Therefore, the statement 'The function g(x) has a minimum value of 0' is true.

To determine the maximum value of g(x), we need to find the vertex of the parabola representing g(x). Since the function is continuous and quadratic, the vertex occurs at the axis of symmetry. The axis of symmetry is given by x = -b/2a, where a and b are the coefficients of the quadratic function. In this case, the equation representing g(x) is not given, so we cannot determine the exact maximum value of g(x) or compare it to the maximum value of f(x).

Based on the given information, we cannot determine whether the function f(x) has a maximum value at x = 4.5 or if the maximum value of g(x) is twice the maximum value of f(x). Therefore, the statements 'The function ƒ(x) has a maximum value at x = 4.5' and 'The maximum value of g(x) is twice the maximum value of ƒ(x)' are false.

Regarding the statement 'Neither function has a minimum value,' it is not accurate based on the given information. We already established that g(x) has a minimum value of 0.

The value of x that will make m parallel to n is: 40.

According to the Converse of Corresponding Angles Theorem, the two lines cut across by a transversal line are parallel to each other if the two corresponding angles formed are congruent.

Therefore, let's find the value of x that will make m parallel to n.

[tex]3x^{\circ} = 120^{\circ}[/tex] (corresponding angles)

[tex]x = 40[/tex]

Therefore, the value of x that will make lines m and n to be parallel to each other is 40.

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divide 42 by 2 1/3

2 1/3 = 7/3

42 / 7/3 =

42 * 3/7 =

126/7 = 18

it will last 18 days

The number of days it will take the dog to consume the 42 cup of food will be 18 days.

To obtain the number of days it will take to consume the entire food :

Hence,

(42 ÷ (7/3))

Take the reciprocal of 7/3 and change the operation sign to multiplication

42 × 3/7 = (42 × 3) / 7 = 126 / 7 = 18 days

Therefore, it will take the dog 18 days to finish up the 42 cups of food.

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-6 - -2 = -4

-5 - - 1 = -4

so y would = x -4

-6 = -2-4

-5 = -1-4

 Answer is C

we have

[tex](x+2)^{2} +5(x+2)-6=0[/tex]

Let

[tex]u=(x+2)[/tex]

Substitute in the expression

[tex](u)^{2} +5(u)-6=0[/tex]

therefore

the answer is

[tex](u)^{2} +5(u)-6=0[/tex] is equivalent to [tex](x+2)^{2} +5(x+2)-6=0[/tex]

Answer: C

Step-by-step explanation:

Took the test

Answer : 15c+70b<96,000

Step-by-step explanation:

The sum of the expression in scientific notation is given by option D) 6.548 × 10⁻².

Given expression is,

0.00348 + (6.2 x 10⁻²)

We have to first find the sum.

For that, rewrite the number in the scientific form in the normal form.

Since the exponent of 10 is -2, the decimal point is shifted 2 units to the left.

6.2 x 10⁻² = 0.062

0.00348 + (6.2 x 10⁻²) = 0.00348 + (0.062)

                                     = 0.06548

Now, we have to write this in scientific notation as the power of 10.

After shifting the decimal point to the right up to 2 units, 0.06548 becomes = 6.548.

So, 0.06548 = 6.548 × 10⁻²

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The measure of a angle B is 45°.

Given that,  angle A and angle B are complementary and ∠A=45°.

In geometry, complementary angles are defined as two angles whose sum is 90 degrees.

Now, ∠A + ∠B = 90°

⇒ 45° + ∠B = 90°

⇒ ∠B = 45°

Counter example: If angle A is 90°, then the angle A and angle B are not complementary angles.

Therefore, the measure of a angle B is 45°.

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The expression of the verbal phrase 'the quotient of twelve and the product of three times x' is 12 / (3x).

The verbal phrase 'the quotient of twelve and the product of three times x' can be expressed as:

12 / (3x)

In this expression, '12' represents the dividend or numerator, '3' represents the factor or multiplier, and 'x' represents the variable or unknown. The quotient symbol '/' represents division, and the multiplication symbol 'x' represents the product of three times x.

To answer this item, we are to convert one of the unit to the other. The approach to answering is to convert the 34 degrees Celsius to kelvin by the equation,

   T = C + 273.15

 Substituting the known value, 

  T = (34) + 273.15 = 307.15 K

 Since 307.15K is greater than 300K then, the greater value is 34 degrees C.

 ANSWER: 34 degrees C

To find the amount of material needed for a certain number of uniforms, we can use a proportion and multiply the amount of material needed for 1 uniform by the desired number of uniforms.

To find out how many yards are needed for 8 uniforms, we can set up a proportional relationship between the number of uniforms and the amount of material needed. We can do this by dividing the amount of material needed for 1 uniform by the number of uniforms, and then multiplying by the desired number of uniforms. The formula for this is (Amount of material needed for 1 uniform / Number of uniforms) * Desired number of uniforms. Using this formula, we can determine that 8 uniforms would require (12 yards / 1 uniform) * 8 uniforms = 96 yards of material.

To find out how many yards are needed for 15 uniforms, we can use the same formula. (12 yards / 1 uniform) * 15 uniforms = 180 yards of material.

Therefore, 8 uniforms require 96 yards of material, and 15 uniforms require 180 yards of material.

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We are given a inequality as:

[tex]y\leq -x^2+2x[/tex]

        (    The roots are:  -x(x-2)=0

          x=0 and x=2 are the roots of the parabola)

        (This could be checked by taking different points)

To graph the solution of y ≤ -x² + 2x, follow these steps: graph the equation y = -x² + 2x, determine the boundary line, and shade the appropriate region based on a test point.

To graph the solution of the inequality y ≤ -x² + 2x, we can follow these steps:

By following these steps, you will be able to graph the solution of the inequality y ≤ -x² + 2x.

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Scientific notation makes it easier to work with very small numbers, like 0.0018.

To express the number 0.0018 in scientific notation, we need to rewrite it as a product of a number between 1 and 10, and a power of 10. Here are the steps:

Identify the Initial Decimal Point Position: The number 0.0018 initially has the decimal point immediately after the zero whole part, before any significant figures.

Move the Decimal Point to the Right: Move the decimal point to the right until there is exactly one non-zero digit to the left of the decimal point. For 0.0018, moving the decimal point three places to the right converts it to 1.8.

Count the Moves: In this case, we moved the decimal three places to the right. Each move to the right represents a negative exponent in scientific notation.

Write in Scientific Notation: The scientific notation form of 0.0018 is written as:
[tex]1.8 \times 10^{-3}[/tex]

The [tex]10^{-3}[/tex] indicates that the decimal point was moved three places to the right.

To find the coordinates of point Q when M(1,7) is the midpoint of PQ, and P(-8,3), we use the midpoint formula to get Q's coordinates as (10, 11).

The question asks for the coordinates of point Q given that M(1,7) is the midpoint of PQ and the coordinates of point P are (-8,3). To find the coordinates of Q, we can use the midpoint formula which is (x1 + x2)/2, (y1 + y2)/2 where (x1, y1) are the coordinates of P and (x2, y2) are the coordinates of Q. Since M is the midpoint, its coordinates (1,7) equal these averages.

Solving these equations for x2 and y2, we find the coordinates of Q to be (10, 11).