-4x + 12 = 8

Solve for x

Answer:So solving for

y

gives:

−

2

x

+

2

x

−

4

y

=

2

x

+

16

0

−

4

y

=

2

x

+

16

−

4

y

=

2

x

+

16

−

4

y

−

4

=

2

x

+

16

−

4

−

4

y

−

4

=

2

x

−

4

+

16

−

4

y

=

−

1

2

x

−

4

The line y = -x, passing through the origin in the xy-plane, forms a 45-degree angle with the positive x-axis.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the equation y = -x has a slope of -1. The slope indicates the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

To determine the angle between the line and the positive x-axis, we need to find the angle that the line's slope makes with the x-axis. Since the slope is -1, the line rises 1 unit for every 1 unit it runs. This means the line forms a 45-degree angle with the x-axis.

The angle can also be determined using trigonometry. The slope of the line (-1) is equal to the tangent of the angle formed with the x-axis. Therefore, we can take the inverse tangent (arctan) of -1 to find the angle. The arctan(-1) is -45 degrees or -π/4 radians. However, since the line is in the positive x-axis direction, the angle is conventionally expressed as 45 degrees or π/4 radians.

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To find the greatest common factor (GCF) of a sum, list the prime factors of each term in the sum. The GCF is the product of the common prime factors raised to the lowest exponent.

To find the greatest common factor (GCF) of a sum, you can first list the prime factors of each term in the sum. The GCF is the product of the common prime factors raised to the lowest exponent.

For example, to find the GCF of 36x² + 18x² + 12x², you would list the prime factors of each term:

36x² = 2² × 3² × x²

18x² = 2 ×  3² ×  x²

12x² = 2² ×3 × x²

The GCF is 2 × 3 ×  x² = 6x²

To rewrite the sum using the GCF and the distributive property, you divide each term in the sum by the GCF, and then multiply the GCF by the sum of the quotients:

(36x² + 18x²  + 12x²) / (6x² ) = 6 + 3 + 2

6x² × (6 + 3 + 2) = 6x² ×  11

So the sum can be rewritten as 6x² × 11

You can also use the same method to find GCF of numbers as well.

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The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Answer:

Step-by-step explanation:

(0, 1) (1, -1)

(-1 - 1)/(1 - 0) = -2/1 = -2

y - 1 = -2(x - 0)

y - 1 = -2x + 0

y = -2x + 1

The quasi-poisson regression model loosens the distributional assumption of the model residuals in the Poisson model by allowing for overdispersion. In other words, the Poisson model assumes that the variance of the response variable is equal to the mean, which is often not the case in practice. The quasi-poisson model allows for the variance to be greater than the mean, which can better account for the overdispersion often observed in count data.

The quasi-poisson model uses a dispersion parameter that estimates the degree of overdispersion in the data. This parameter can be greater than 1, indicating that the variance of the response variable is greater than what would be expected under a Poisson distribution. By allowing for this overdispersion, the quasi-poisson model can better capture the variability in the data and produce more accurate predictions.

Overall, the long answer to your question is that the quasi-poisson regression model is a flexible alternative to the Poisson model that can better account for overdispersion in count data. By allowing for a greater variance than what would be expected under a Poisson distribution, the quasi-poisson model can provide more accurate predictions and avoid biases caused by the violation of the distributional assumptions of the Poisson model.

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Answer:

- 43/2

Step-by-step explanation:

Open the bracket

\(6x - 48 - 3 = 8x - 8\)

Collect the like terms

\(6x - 8x = - 8 + 48 + 3\)

\( - 2x = 43\)

Divide both sides by -2

\(x = \frac{ - 43}{2} \)

The answer is C)

You can do this by several ways. The more direct is to realize that (x-5)(x+5) is a factorization of a difference of squares.

Also, you can apply the distributive propierty:

Now, you add everithing up:

And then you get the answer C)

With the three matrices given which are 3x3 identity matrix, the value(s) of p for which the matrix C is invertible are p = 1/2, p = 4 + √6, and p = 4 - √6.

Computing the matrix product ATB

Thus,

ATB = \([(2 - 1/p), 1/2, 1, 0] [(1, -2), (2, -1)]\\= [(2 - 1/p)(1) + (1/2)(2), (2 - 1/p)(-2) + (1/2)(-1)]\\[(2 - 1/p)(2) + (1)(1), (2 - 1/p)(-1) + (1)(-2)]\\= [(4 - 1/p), (-4p + 1)/2]\\[(5 - 2/p), (-2 + 2/p)]\)

Then, add 2I3, we have;

C = \(ATB + 2I3 = [(4 - 1/p + 2), (-4p + 1)/2, 2]\\[(5 - 2/p), (-2 + 2/p + 2), 2]\\= [(6 - 1/p), (-4p + 5)/2, 2]\\[(5 - 2/p), (2/p), 2]\)

To determine the values of p for which C is invertible, use the determinant of C.

If det(C) is nonzero, then C is invertible.

det(C) = \([(6 - 1/p)(2/p) - (-4p + 5)/2(5 - 2/p)]\\[(5 - 2/p)(2) - (2/p)(-4p + 5)/2]\\= [(12 - 2/p^2 + 8p - 10)/2p] - [(10 - 4 + 4p - 5/p)/2]\\= [(2p^3 - 6p^2 + 5p + 5)/p] - [(5 - 4p + 5/p)/2]\\= [(4p^4 - 12p^3 + 10p^2 + 10p)/2p] - [(10p - 8p^2 + 10)/2p]\\= -(2p^3 - 9p^2 + 5p - 5)/2p\)

To find the values of p for which det(C) = 0, we need to solve the equation:

\(2p^3 - 9p^2 + 5p - 5 = 0\)

Use synthetic division  to factor this polynomial but notice that p = 1 is a root by inspection:

\(2(1)^3 - 9(1)^2 + 5(1) - 5 = 0\)

Therefore, we can factor the polynomial as:

\((2p - 1)(p^2 - 8p + 5) = 0\)

The roots of this equation are p = 1/2 and p = 4 ± √6.

Hence, matrix C is invertible for p = 1/2, p = 4 + √6, and p = 4 - √6.

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Answer:

out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

17

Step-by-step explanation:

A straight angle is 180

180 = 6z + 1 + 77 combine like terms

180 = 6z + 78  Subtract 78 from both sides

180 - 78 = 6z + 78 - 78

102 = 6z  Divide both sides by 6

17 = z

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

what you have to do is

hope this helps!

The area of the shaded region is the area of the rectangle minus the area of the triangle

Find the coordinates of point E: Since point E lies halfway between sides AB and CD, and halfway between sides AD and BC, we can find its coordinates by taking the average of the coordinates of the opposite vertices. That is, if A = (a, b), B = (c, d), C = (e, f), and D = (g, h), then the coordinates of E are ((a+g)/2, (b+h)/2).

Find the equation of the diagonal BD: The diagonal BD passes through points B and D, so we can find its equation by using the point-slope form: y - d = (h - d)/(g - c) * (x - c).

Find the equation of the line perpendicular to BD passing through E: Since the shaded region is formed by the rectangle and the triangle outside it, we can find the equation of the line perpendicular to BD passing through E to find the height of the triangle. The slope of the line perpendicular to BD is the negative reciprocal of the slope of BD, so it is -(g - c)/(h - d). We can use the point-slope form again to find the equation of the line: y - ((b+h)/2) = -(g-c)/(h-d) * (x - (a+g)/2).

Find the intersection of the two lines: The intersection of the two lines is the point where the height of the triangle intersects the diagonal BD. We can solve the system of equations formed by the two lines to find this point.

Find the area of the triangle: Once we have the height of the triangle and the length of the base (which is the length of diagonal BD), we can use the formula for the area of a triangle: A = (1/2)bh, where b is the length of the base and h is the height.

Find the area of the shaded region: The area of the shaded region is the area of the rectangle minus the area of the triangle.

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The area of the given square pyramid is:

total area = 1,100 inches squared.

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

B = (22in)*(22 in)  = 484 in^2

For each triangle, the area will be:

A = (base side)*(height)/2

A = (22in)*(14in)/2 = 154 in^2

And we have 4 of these triangles, then the total area of the pyramid will be:

total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2

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Answer:

-2/3

Step-by-step explanation:

-4x -4x

-4x+12=6y

/6 /6

-2/3+2=y

so the slope is -2/3

Answer:

B, 2I + 3 = 39

Step-by-step explanation:

work backwards first, so 39 minus 3 is 36, divided by two is 13.

Answer:

.02

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the area of the circle with a circumference of

. Write your solution in terms of

.

Area in terms of

: ______

volume : 7.5 cm²

\(\hookrightarrow \sf Length \ * Width \ * \ Height\)

\(\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3\)

\(\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3\)

\(\hookrightarrow \sf \dfrac{15}{2}\)

\(\hookrightarrow \sf 7.5 \ cm^2\)

Answer:

\(\sf volume=7 \frac12 \ cm^3\)

Step-by-step explanation:

Formula

volume of cuboid = length × width × height

Given dimensions of the ice cube:

Substituting the given values into the formula:

\(\sf \implies volume=2\times 1 \frac14 \times 3\)

Converting to improper fractions:

\(\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31\)

                  \(\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}\)

                  \(\sf =\dfrac{30}{4}\)

Dividing the numerator and denominator by the highest common factor:

\(\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}\)

                  \(\sf =\dfrac{15}{2}\)

Converting the improper fraction into a mixed number:

\(\sf \implies volume=7 \frac12 \ cm^3\)

We have

Using the associative, commutative, and distributive laws for sum and multiplication, we can see without computing that

A. 81*(59 +37) ----- same values

B. (81.*37) + 59 ------ incorrect

C. (81*37) + (81* 59) ---- same values

D. 81 + (37*59) ---- incorrect

E. (37 + 59)*81 ---- same values

Answer:

Step-by-step explanation:

Answer:

I might be wrong just as you know....i did what i remember, underlined was my answer

Step-by-step explanation:

\(5x^{2}\)=25x

25x-8x=17x

ratios: 17x, x, 5, 9

add:

5+9=14

17x + x =18x

multiply:

18x(2)= 36x

14(2)= 28

Perimeter: 28, 36x

Area:

14(18x)

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

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Answer: \(\frac{1}{4} +\frac{1}{2}\)

Step-by-step explanation:

given data:

fraction = \(\frac{3}{4}\)

Solution:

se can make use of the fraction \(\frac{1}{4} + \frac{1}{2}\) to get same answer as shown bellow.

\(=\frac{1}{4} + \frac{1}{2}\)

first we look for the lcm of the denominators.

\(= \frac{2+1}{4}\)

\(=\frac{3}{4}\)

.

1. Yes, the relation ((0,0), (1,1), (2,4), (3,9)) is a function. A function is a relation in which each input (x-value) is associated with only one output (y-value). In this case, for every x-value, there is a unique y-value. For example, when x is 0, y is 0; when x is 1, y is 1; when x is 2, y is 4; and when x is 3, y is 9.

Therefore, there is a clear and consistent mapping between the x-values and the y-values, satisfying the criteria for a function.
2. No, the graph of a circle cannot be considered a function. A function requires that each input (x-value) is associated with only one output (y-value). However, in the graph of a circle, for some x-values, there are multiple y-values or no y-value at all. This violates the definition of a function. For example, consider the equation of a circle: x^2 + y^2 = r^2. If we solve for y, we get two possible y-values for each x-value (except for the points where the circle intersects the x-axis). Therefore, the graph of a circle is not a function.
3. A real-world example of a relation that is not a function is a person's age and their height. While a person's age can be mapped to a single value, their height can vary. For example, a person who is 10 years old can have a height of 4 feet, but another person who is also 10 years old can have a height of 5 feet. This demonstrates that for a given age, there can be multiple possible heights, making it a relation that is not a function.

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Answer:

s = 3.75 miles/hour

Step-by-step explanation:

Distance covered = 1/4 of a mile

Time taken = 1/15 of an hour

We need to find the speed of the track. We know that,

\(s=\dfrac{d}{t}\\\\=\dfrac{\dfrac{1}{4}}{\dfrac{1}{15}}\\\\=3.75\ mi/h\)

So, the required speed is 3.75 miles/hour.

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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The probability of all heads occurring at the end of the sequence is 1/2^100, or approximately 0.00000000079.

Probability is the branch of mathematics that deals with the likelihood or chance of an event occurring. It is a value between 0 and 1 (or 0% to 100%), where 0 represents an impossible event and 1 (or 100%) represents a certain event.

The probability of each outcome in the sequence is 1/2 (i.e. heads or tails). The total number of possible outcomes is 2^100. This means that the probability of all heads occurring at the end of the sequence is 1/2^100. This can be expressed as 1/2 * 1/2 * 1/2 * ... (100 times), which simplifies to 1/2^100, or approximately 0.00000000079.

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The value of y is 22.57 cm which is the diameter of the circle. The solution has been obtained by using the concept of area of figures.

What is an area of figure?

A patch's area on a surface determines how big it is. Whereas a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

We are given a square with side 20 cm and a circle with diameter y. It is given that both the figures have the same area.

Now,

⇒ Area of square = Side * Side

⇒ Area of square = 20 * 20

⇒ Area of square = 400 square cm

Similarly,

⇒ Area of circle = π\(r^{2}\)

⇒ Area of circle = π\((\frac{y}{2} )^{2}\)

Since, the area of both the shapes is same, so we get,

⇒ π\((\frac{y}{2} )^{2}\) = 400

⇒ 3.14 * \((\frac{y}{2} )^{2}\) = 400

⇒ 3.14 * \(\frac{y^{2}}{4}\) = 400

⇒ 3.14 * \(y^{2}\) = 1600

⇒ \(y^{2}\) = 509.55

⇒ y = 22.57 cm

Hence, the value of y is 22.57 cm which is the diameter of the circle.

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