Table A tracks the date when 100 players played a game, where one row corresponds to a player id and the date they opened and played the game. The same player id can have multiple rows if they have played the game across multiple days. In Table A, 90 played for 1 day and 10 played across 2 days. Table B tracks the install date of 99 players who were in Table A for the same game. In Table B, one row corresponds to a player id and the date they installed the game. The same player id can have multiple rows if they have installed the game multiple times. Of the 90 players who played for 1 day, 82 installed once, 7 installed twice and 1 was not in Table B. Of the 10 players who played across 2 days, 9 installed once and 1 installed twice. How many rows would the resulting table have if you took Table A and left (outer) joined with Table B using the player id?

The slope of the linear equation is; 0.5

The y-intercept of the Linear Equation is: 4.75

Yes the equation is proportional

The equation we are given is expressed as;

y = ¹/₂x + 4³/₄

When x = 0,

y = ¹/₂(0) + 4³/₄

y = 4.75

When x = 1,

y = ¹/₂(1) + 4³/₄

y = 5.25

When x = 2,

y = ¹/₂(2) + 4³/₄

y = 5.75

When x = 3,

y = ¹/₂(3) + 4³/₄

y = 6.25

If we go on and on till x = 10, we will see the constant difference in y for every change in x is 0.5

Thus, slope = 0.5

y-intercept = 4.75

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The height of the Eiffel Tower is approximately 311.6 meters.

Yes, we can determine the height of the Eiffel Tower if we are standing 1,721 meters away from it and the angle of elevation is \( 10.37^{\circ} \). We can use the tangent function to find the height of the Eiffel Tower. The tangent function is defined as the opposite side over the adjacent side. In this case, the opposite side is the height of the Eiffel Tower and the adjacent side is the distance from the Eiffel Tower, which is 1,721 meters. The equation for the tangent function is:

tan( \( 10.37^{\circ} \) ) = height / 1,721

We can rearrange the equation to solve for the height of the Eiffel Tower:

height = tan( \( 10.37^{\circ} \) ) * 1,721

Using a calculator, we can find the value of tan( \( 10.37^{\circ} \) ) and multiply it by 1,721 to get the height of the Eiffel Tower:

height = 0.181 * 1,721

height = 311.6 meters

Therefore, the height of the Eiffel Tower is approximately 311.6 meters.

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A graph that represents the following ellipse (x + 1)²/16 + (y - 3)²/36 = 1 is: C. graph C.

Mathematically, the standard form of the equation of an ellipse is given by mathematical expression:

x²/a² + y²/b² = 1  

Where;

This ultimately implies that, the major axis of this ellipse is the x-axis. By critically observing the graph (see attachment), we can logically deduce the following values:

a = √16 = 4.

b = √36 = 6.

In conclusion, the standard form of the equation of this ellipse is given by (x + 1)²/16 + (y - 3)²/36 = 1.

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The total fluid intake for the meal is 493.055 mL

Converting:

1/3 glass of orange juice

= (1/3) x 8 oz = 2.67 oz

= 79.027 mL (rounded to 3 decimal places)

1/2 cup of tea

= (1/2) x 6 oz

= 3 oz = 88.720 mL (rounded to 3 decimal places)

1/2 pint of milk

= (1/2) x 16 oz

= 8 oz = 236.588 mL (rounded to 3 decimal places)

1 tuna fish sandwich = no fluid intake

1 popsicle (3oz)

= 3 oz

= 88.720 mL (rounded to 3 decimal places)

Total fluid intake

= 79.027 mL + 88.720 mL + 236.588 mL + 0 mL + 88.720 mL

= 493.055 mL (rounded to 3 decimal places)

Therefore, the total fluid intake for the meal is 493.055 mL.

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The measures of those two angles are, 20° and 110°

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Two angles of a quadrilateral measure 180° and 50°.

And, The other two angles are in a ratio of 2:11.

Since, The other two angles are in a ratio of 2:11.

Hence, ,Measures of both angles are, 2x and 11x.

Now, We know that;

Sum of all interior angles of a quadrilateral are 360°.

Hence, We get;

⇒ 180 + 50 + 2x + 11x = 360

⇒ 230 + 13x = 360

⇒ 13x = 360 - 230

⇒ 13x = 130

⇒ x = 10

Thus, Measures of both angles are,

2x = 2 × 10 = 20°

and 11x = 11 × 10 = 110°

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As a result, the formula is (cos 2x - 1) / (2 sin x cos x)

A mathematical expression shows the worth of something by combining numbers, factors, and functions. A mathematical assertion known as an equation involves setting two expressions equivalent to one another.

We can start by using the identity:

cos 2x = cos² x - sin² x

We can rearrange this to get:

cos² x = cos 2x + sin² x

Substituting this into the expression we want to simplify, we get:

(cos² x - sin² x - 1) / (sin 2x)

We can then use the identity:

sin 2x = 2 sin x cos x

Substituting this into the expression, we get:

(cos² x - sin² x - 1) / (2 sin x cos x)

We can simplify the numerator using the identity:

cos² x - sin² x = cos 2x

Substituting this into the expression, we get:

(cos 2x - 1) / (2 sin x cos x)

Therefore, the simplified expression is:

(cos 2x - 1) / (2 sin x cos x)

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Given vectors are, u = (6,1,6), v = (1,-1,4) and w = (1,4,7) and a vector (23, 10, 23).We need to express (23, 10, 23) as a linear combination of u, v and w.

To find the coefficients, we use matrix notation.
Let A be a matrix containing u, v and w as its column matrices, and X be a matrix containing the coefficients.
Then,AX = B Where A = [u | v | w]X = [a | b | c]B = (23, 10, 23)
Therefore, [u | v | w][a | b | c] = (23, 10, 23)⇒ a(u1) + b(v1) + c(w1) = 23a(6) + b(1) + c(1) = 23⇒ 6a + b + c = 23⇒ a(u2) + b(v2) + c(w2) = 10a(1) - b(1) + c(4) = 10⇒ a - b + 4c = 10⇒ a(u3) + b(v3) + c(w3) = 23a(6) - b(4) + c(7) = 23⇒ 6a - 4b + 7c = 23
The above system of linear equations can be solved using Gaussian elimination method.
The row echelon form of the augmented matrix [A | B] is, [6 1 1 | 23][1 -1 4 | 10][0 0 2 | 9]
The solution is, c = 9/2, b = -3, and a = 1/2.
Therefore, (23, 10, 23) = (1/2)u - 3v + (9/2)w can be written as a linear combination of u, v and w.

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The new ordered pair of A’ are (-1, -2.25). Hence the correct option is b.

A cοοrdinate system in geοmetry is a technique that uses οne οr mοre integers οr cοοrdinates tο establish the accurate pοsitiοning οf geοmetrical οbjects οn a manifοld, such as Euclidean space. When lοcating a pοint οr οbject οn a twο-dimensiοnal plane, cοοrdinates—pairs οf numbers—are utilized.

The x and y cοοrdinates serve as a representatiοn οf a pοint's lοcatiοn οn a 2D plane. a grοup οf numbers used tο denοte certain lοcatiοns. The figure usually cοnsists οf twο integers. The frοnt-tο-back and tοp-tο-bοttοm distances are represented by the first and secοnd numbers, respectively. When there are 12 units belοw and 5 abοve, as in (12.5), the ratiο is 1.

Tο cοnduct a dilatiοn with a scale factοr οf 1/2 arοund the οrigin, multiply each pοint's cοοrdinates by 1/2. If the initial cοοrdinates οf pοint A are (x, y), then the dilated pοint A' cοοrdinates are:

A' = (1/2 * x, 1/2 * y)

We negate the x-cοοrdinate while keeping the y-cοοrdinate cοnstant tο represent the dilated pοint A' οver the y-axis. As a result, the final cοοrdinates οf A" are:

A'' = (-1/2 * x, 1/2 * y)

As a result, Anew "'s οrdered pair is (1/2 * x, 1/2 * y)

= ((1/2 × -2), (1/2 × -5))

= (-1, -2.25)

Thus, the new ordered pair of A’ are (-1, -2.25). Hence the correct option is b.

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Answer:

1st one: (x-7)

2nd: (-x+7)

3rd: (5x+3)

Step-by-step explanation:

1: you subtract like terms so first you do 3x-2x which is x and do -2-5 and get -7 so its (x-7)

2: do 2x-3x and get (-x) and then do 5-(-2) and get 7 so the answer is (-x+7)

3: first do 2x+3x and get 5x and then do 5+(-2) and get 3 so the answer is (5x+3)

Answer:

Step-by-step explanation:

( 3x - 2 ) - ( 2x + 5 ) = 3x - 2 - 2x - 5  = x - 7

( 2x + 5 ) - ( 3x - 2 ) = 2x + 5 - 3x + 2 = - x + 7

( 2x + 5 ) + ( 3x - 2 ) = 2x + 5 + 3x - 2 = 5x + 3

To prove that the functions f(x)= (2)/(3)x-8 and g(x)=(3)/(2)x+12 are inverses, we can use composition of functions. We can do this by setting f(g(x)) = x and g(f(x)) = x and showing that they are equivalent.

First, let's look at f(g(x)). We can substitute g(x) into the equation for f(x), so we have: f(g(x)) = (2)/(3)((3)/(2)x+12)-8. Simplifying, we have: f(g(x)) = (4x+48)/6 - 8. Distributing the 4 and rearranging, we have: f(g(x)) = x.

Now let's look at g(f(x)). We can substitute f(x) into the equation for g(x), so we have: g(f(x)) = (3)/(2)((2)/(3)x-8)+12. Simplifying, we have: g(f(x)) = (2x-32)/3 + 12. Distributing the 2 and rearranging, we have: g(f(x)) = x.

Therefore, we have shown that f(g(x)) = x and g(f(x)) = x, which means that f(x) and g(x) are inverses of each other.

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Correct statement: Two vectors are perpendicular if and only if the dot product of the two vectors is zero.

Explanation:

Two vectors are perpendicular if and only if the dot product of the two vectors is zero. This is equivalent to saying that the angle between the two vectors is 90 degrees. Therefore, the statement "Two vectors are perpendicular if and only if the angle between them is 90 degrees" is correct.

Every orthonormal set is linearly independent. This statement is also correct. An orthonormal set of vectors is a set of vectors that are pairwise perpendicular and have length 1.

Since the dot product of any two distinct vectors in an orthonormal set is 0, it follows that any linear combination of these vectors will also have a dot product of 0 with any other vector in the set.

Therefore, the only solution to a linear combination of these vectors being equal to the zero vector is for all the coefficients to be 0, which implies linear independence.

Every orthogonal set is linearly independent. This statement is also correct. An orthogonal set of vectors is a set of vectors that are pairwise perpendicular, but not necessarily of length 1.

Similar to the previous argument, the dot product of any two distinct vectors in an orthogonal set is 0, which implies linear independence.

R^n has an orthonormal basis. This statement is also correct. An orthonormal basis for a vector space is a basis consisting of orthonormal vectors. It can be shown that any finite-dimensional inner product space has an orthonormal basis, and R^n is a finite-dimensional inner product space with the standard dot product.

The zero vector is perpendicular to all other vectors. This statement is false. The zero vector is orthogonal to all other vectors, but not necessarily perpendicular, as the concept of perpendicularity requires the vectors to have a nonzero length.

Any orthonormal set in R^n is a basis. This statement is also correct. An orthonormal set of n vectors in R^n must span the entire space, as any vector in the space can be expressed as a linear combination of these vectors.

Furthermore, any set of n linearly independent vectors in R^n is a basis, so the fact that an orthonormal set is linearly independent (as shown in statement 2) implies that it is a basis.

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As our calculated t-value of 3.032 is greater than the critical value of ±1.645, we can reject the null hypothesis at the 0.1 significance level and conclude that the coefficient for the variable is statistically significant and different from zero.

The hypotheses that we want to test are:

H0: The coefficient for the variable is equal to zero.

H1: The coefficient for the variable is not equal to zero.

Using the given output, we can see that the coefficient for the variable is 15.509, and the standard error of the coefficient is 5.123. The t-value for the coefficient is calculated by dividing the coefficient estimate by its standard error, so:

t = 15.509 / 5.123 = 3.032

To test the hypothesis, we can compare the calculated t-value with the critical value of the t-distribution with n-k-1 degrees of freedom (where n is the sample size and k is the number of independent variables), at a significance level of 0.1 and using a two-tailed test.

Since the sample size and number of independent variables are not provided, we cannot determine the degrees of freedom or the critical value directly. However, we can use a t-distribution calculator or look up the critical value from a t-distribution table. For example, with n=50 and k=2 (based on the given output), the critical value for a two-tailed test at a significance level of 0.1 is approximately ±1.645.

Since our calculated t-value of 3.032 is greater than the critical value of ±1.645, we can reject the null hypothesis at the 0.1 significance level and conclude that the coefficient for the variable is statistically significant and different from zero. In other words, there is evidence to suggest that the variable has a significant effect on the outcome being predicted by the regression model.

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Answer:

[tex]x=\frac{3}{2} - i\frac{\sqrt{7}}{2}[/tex]

[tex]x=\frac{3}{2} + i\frac{\sqrt{7}}{2}[/tex]

Step-by-step explanation:

We can use the quadratic formula to solve the equation:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -3, and c = 4. Substituting these values into the formula, we get:

x = (3 ± sqrt((-3)^2 - 4(1)(4))) / 2(1)

x = (3 ± sqrt(9 - 16)) / 2

x = (3 ± sqrt(-7)) / 2

Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Therefore, the answer is:

[tex]x=\frac{3}{2}+i\frac{\sqrt{7} }{2}[/tex]

[tex]x=\frac{3}{2} - i\frac{\sqrt{7}}{2}[/tex]

From the equation of the least squares regression line, we can say that the height of the flower compared to the soil line, in the beginning, is 3.16 units and it grows by 0.56 units each day.

A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. Two expressions joined by an equal sign form a mathematical statement known as an equation. The expression on the left and the expression on the right is shown to be equal in relation to one another.

LHS = RHS (left-hand side = right-hand side) appears in all mathematical equations. You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity. It is not an equation if there is no "equal to" symbol in the statement. It will be taken into account as an expression.

Given,

The predicted height = 0.56

Days in soil = 3.16

The y-axis of the plot is the height of the line compared to the soil line.

The x-axis gives the number of days.

from the equation of the least squares regression line, we get the above predicted height and the days in the soil.

y  = mx+b is the equation of a line.

Then, we can say that,

m = slope = 0.56

b = y-intercept = 3.16

Therefore from the equation of the least squares regression line, we can say that the height of the flower compared to the soil line, in the beginning, is 3.16 units and it grows by 0.56 units each day.

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There are 720 different possibilities for selecting the executive board from a Student Council with 10 members. An answer is option (B) 720.

A permutation is to select an object then arrange it and it cares about the orders while a Combination is about only selecting an object without caring about the orders.

The number of ways to select the executive board is the number of permutations of 10 items taken 3 at a time.

That is:

P(10, 3) = 10!/(10-3)! = 10x9x8 = 720

Therefore, there are 720 different possibilities for selecting the executive board from a Student Council with 10 members. An answer is option (B) 720.

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I'm not 100%

sure

:))))))))))))))))))))))))

The other three angle measures in the quadrilateral, in addition to <1 = 45 degrees, are: <2 = <3 = 135 degrees, and <4 = 45 degrees.

What is the quadrilateral?

A quadrilateral is a polygon with four sides and four angles. In other words, it is a closed figure that has four straight sides and four vertices (corners).

If <1 has a measure of 45 degrees, then the sum of the angle measures in the quadrilateral must be 360 degrees. Let's call the other three angles in the quadrilateral <2, <3, and <4.

Then we can use the fact that the opposite angles in a quadrilateral add up to 180 degrees to write two equations:

<1 + <3 = 180 (opposite angles)

<2 + <4 = 180 (opposite angles)

We also know that <1 = 45, so we can substitute that in the first equation:

45 + <3 = 180

Solving for <3, we get:

<3 = 135

Now we can substitute the values of <1 and <3 into the sum of angle measures equation:

45 + <2 + 135 + <4 = 360

Simplifying, we get:

<2 + <4 = 180

This is the same equation as the opposite angles equation, so we know that <2 and <4 are also opposite angles. Therefore, we can conclude that:

<2 = <3 = 135 degrees

<4 = 45 degrees

Hence, the other three angle measures in the quadrilateral, in addition to <1 = 45 degrees, are: <2 = <3 = 135 degrees, and <4 = 45 degrees.

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The baker will use 2.5 cups of flour.

Multiplication is a mathematical operation that involves combining two or more numbers to find their product or the total number of objects in equal groups. It is represented using the multiplication symbol (*) or a dot (·). For example, 2 * 3 = 6, which means that two groups of three objects will give you a total of six objects.

To solve this problem, we need to find the amount of flour required for each cupcake and cookie, and then multiply by the total number of cupcakes and cookies.

For the cupcakes:

1.5 cups of flour make 18 cupcakes

1 cup of flour will make 12 cupcakes (divide both sides by 1.5)

To make 30 cupcakes, we need 2.5 cups of flour (multiply both sides by 2.5)

For the cookies:

3 cups of flour make 36 cookies

1 cup of flour will make 12 cookies (divide both sides by 3)

To make 60 cookies, we need 5 cups of flour (multiply both sides by 5)

Therefore, to make 30 cupcakes and 60 cookies, the baker will need:

2.5 cups of flour for the cupcakes

5 cups of flour for the cookies

Total: 2.5 + 5 = 7 cups of flour

Therefore,  the baker will use 2.5 cups of flour.

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The composite functions and their domains are:
(a) (fog)(x) = 30x + 8, domain: all real numbers
(b) (gof)(x) = 30x + 40, domain: all real numbers
(c) (fof)(x) = 36x + 56, domain: all real numbers
(d) (gog)(x) = 25x, domain: all real numbers

The composite functions are formed by substituting one function into another. We can find the composite functions for f(x)=6x+8 and g(x)=5x by following these steps:

(a) (fog)(x) = f(g(x)) = f(5x) = 6(5x) + 8 = 30x + 8

The domain of (fog)(x) is the set of all real numbers, since there are no restrictions on the values of x.

(b) (gof)(x) = g(f(x)) = g(6x+8) = 5(6x+8) = 30x + 40

The domain of (gof)(x) is also the set of all real numbers, since there are no restrictions on the values of x.

(c) (fof)(x) = f(f(x)) = f(6x+8) = 6(6x+8) + 8 = 36x + 56

The domain of (fof)(x) is also the set of all real numbers, since there are no restrictions on the values of x.

(d) (gog)(x) = g(g(x)) = g(5x) = 5(5x) = 25x

The domain of (gog)(x) is also the set of all real numbers, since there are no restrictions on the values of x.

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The probability of getting 4 heads is 0.205078125, the probability of getting 6 heads is 0.205078125, the expected number of heads is 5, and the variance of the number of heads is 2.5.

The probability of getting 4 heads or 6 heads in 10 coin tosses can be calculated using the binomial probability distribution formula:

P(X=x) = nCx * p^x * (1-p)^(n-x)

Where:
n = number of trials (10)
x = number of successes (4 or 6)
p = probability of success (0.5)
1-p = probability of failure (0.5)
nCx = combination of n things taken x at a time

For 4 heads:
P(X=4) = 10C4 * 0.5^4 * 0.5^(10-4)
P(X=4) = 210 * 0.0625 * 0.015625
P(X=4) = 0.205078125

For 6 heads:
P(X=6) = 10C6 * 0.5^6 * 0.5^(10-6)
P(X=6) = 210 * 0.015625 * 0.0625
P(X=6) = 0.205078125

The expected number of heads can be calculated using the formula:
E(X) = n * p
E(X) = 10 * 0.5
E(X) = 5

The variance of the number of heads can be calculated using the formula:
Var(X) = n * p * (1-p)
Var(X) = 10 * 0.5 * 0.5
Var(X) = 2.5
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After solving the problem we found that Wags is approximately 15 years old and Scratch is approximately 5 years old today.

The solution uses algebraic equations and substitution to solve for the ages of Wags and Scratch, which is based on the concept of solving systems of linear equations.

Let's assume that Wag's age today is represented by W, and Scratch's age today is represented by S.

From the first piece of information, we can set up the following equation:

W - 1 = 3 + 3(S - 1)

Simplifying:

W - 1 = 3S - 6

W = 3S - 5

From the second piece of information, we can set up the following equation:

S + 2 = (1/4)(W + 2) + 2

Simplifying:

S + 2 = (1/4)W + 2.5

Substituting W = 3S - 5:

S + 2 = (1/4)(3S - 5) + 2.5

Solving for S:

S + 2 = (3/4)S - (5/4) + 2.5

S + 2 = (3/4)S + 3/4

1/4 S = 1 1/4

S = 5

Substituting S = 5 into W = 3S - 5:

W = 10 + 5

W = 15

Therefore, Wags is approximately 15 years old and Scratch is approximately 5 years old today.

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The first monthly charge has about $78.78 allotted in the direction of reducing the principal.

The total buy charge of the house is $96,400 and the Spinoses made a 25% down payment, because of this they paid $96,400 x 0.25 = $24,100 in advance.

Therefore, the final quantity that they financed is $96,400 - $24,100 = $72,300.

They financed this amount at 5.50% for 30 years, which gives us the following method for calculating the monthly payment (P):

P = (r * PV) / (1 - (1 + r)^(-n))

in which:

Substituting the values, we get:

P = (0.00458 * 72,300) / (1 - (1 + 0.00458)^(-360))

P ≈ $410.66

We recognise that the monthly payment is $410.66 and we will calculate the interest portion of the primary monthly price as follows:

interest = balance * monthly interest price

interest = $72,300 * (5.50% / 12) ≈ $331.88

To calculate the amount of the primary monthly charge this is used to lessen the fundamental, we subtract the interest component from the total monthly payment:

$410.66 - $331.88 ≈ $78.78

Thus, the first monthly charge has about $78.78 allotted in the direction of reducing the principal.

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The Cartesian equation ( y = f(x)) for the curve is y = -x.

To find the Cartesian equation of the curve, we need to eliminate the parameter θ from the given parametric equations. We can do this by rearranging the equations and solving for θ in terms of x or y, and then substituting that value into the other equation.

First, let's rearrange the first equation to solve for cotθ:
2x = cotθ - cscθ
2x + cscθ = cotθ
cscθ - cotθ = -2x

Next, let's rearrange the second equation to solve for cscθ:
4y = 2cscθ - 2cotθ
2cscθ = 4y + 2cotθ
cscθ = 2y + cotθ

Now, let's substitute the value of cscθ from the second equation into the first equation:
2y + cotθ - cotθ = -2x
2y = -2x
y = -x

Therefore, the Cartesian equation of the curve is y = -x.

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The value of ST in the given triangle is is √73.

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: In a triangle

TR = 8

SR = 3

ST =?

We apply here Pythagoras theorem and we get

SR² + TR² = ST²

3² + 8² = ST²

9 + 64 = ST²

73 = ST²

ST = √73

Hence, the value of ST is √73.

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Answer:

Step-by-step explanation: the answer is 20, 48, 52

A rational function having the following vertical asymptotes x = -4 and x = 5 and x-intercept (-2, 0) is [tex]f(x) = \frac{x+2}{(x+4)(x-5)}[/tex].

A rational function is a function that can be expressed as the quotient of two polynomials. Vertical asymptotes occur when the denominator of the rational function is equal to zero. An x-intercept occurs when the rational function is equal to zero.

To find a rational function that satisfies the given conditions, we can use the information about the vertical asymptotes and x-intercept to create the function.

The vertical asymptotes occur at x = -4 and x = 5, so the denominator of the rational function must have factors of (x + 4) and (x - 5). The x-intercept occurs at (-2, 0), so the numerator of the rational function must have a factor of (x + 2).

Therefore, one possible rational function that satisfies the given conditions is:

[tex]f(x) = \frac{x+2}{(x+4)(x-5)}[/tex]

This function has vertical asymptotes at x = -4 and x = 5, and an x-intercept at (-2, 0), as required.

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The solution to the compound inequality is x > -3 and x <= -4, or (-4, -3] in interval notation.

A compound inequality contains at least two inequalities that are separated by either "and" or "or.  The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities.

The compound inequality 8x - 6 > -30 OR -2x + 4 >= 12 can be solved by solving each inequality separately and then combining the results.

Solve 8x - 6 > -30:
8x - 6 > -30
8x > -24
x > -3

Solve -2x + 4 >= 12:
-2x + 4 >= 12
-2x >= 8
x <= -4

The solution to the compound inequality is x > -3 and x <= -4, or (-4, -3] in interval notation.

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Answer:-4.5

Step-by-step explanation:

-6+-30=-36

-36 divided by 8= -4.5