Please help! Algebra hw! Hrw

9514 1404 393

Answer:

  (-∞, -1/3) U (3, ∞)

Step-by-step explanation:

The given inequality is equivalent to two inequalities (joined with OR).

-(3x -4) +3 ≥ 8

  -3x +7 ≥ 8 . . . . . . eliminate parentheses

  -3x ≥ 1 . . . . . . . subtract 7

  x ≤ -1/3 . . . . . divide by 3

3x -4 +3 ≥ 8

  3x ≥ 9 . . . . . add 1

  x ≥ 3 . . . . . . divide by 3

Then the solution to the inequality is the union of these intervals:

  x ∈ (-∞, -1/3) ∪ (3, ∞)

To factor a number, we need to find a prime number that divides it, then we do the division and note the prime number we have got.

Then, we repeat this with the result.

So, starting with 300, we can see that it is divisable by 2, so the first factor is 2.

Making the division, we have:

Now, we repeat with the result, 150.

150 is also divisable by 2, so we have another factor 2:

Now, 75 is divisable by 5, so 5 is the next factor:

15 is also divisable by 5, so:

And 3 is prime, so it is the final factor.

Thus, we have divided by 2, by 2, by 5, by 5 and by 3, so, the factored number is:

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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a. The equation is, P = 15m + 10

b. The graph of P = 15m + 10 can be seen in the image attached below.

c. The total number of pages written in 5 months, is, 85.

A linear equation is a straight line graph, which can be expressed in slope-intercept form as y = kx + b, where;

a. To write the equation for the total number of pages P written after any number of months m, we have the following defined variables:

Unit rate or slope (k) = 15

Initial value or y-intercept (b) = 10

Number of pages, y = P

Number of months, m = x.

Substitute k = 15 and b = 10 into P = km + b:

P = 15m + 10

b. The graph of the P = 15m + 10 is shown below.

c. Substitute m = 5 into the equation, P = 15m + 10:

P = 15(5) + 10

P = 85

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Answer:

Yes

The two 48 degree angles given show that the 90 degree angle intersects both lines at the same position, making the lines parallel

Answer: Undefined

Step-by-step explanation:

Replace x with -5

Answer:

\(y=4x\)

Answer:

y = -4x

hope that helped.........

When calculating the total area of this unknown figure, you should use (π - r²)/4 for the area of both the semicircle (half circle) and the larger square.

By critically observing this unknown figure, we can logically deduce that it comprises a semicircle, squares, a rectangle and a triangle. Thus, its total area should be calculated by adding the area of each of the geometric figures together.

Total area = A₁ + A₂ + A₃ + A₄

However, you should take note that the diameter of the semicircle (half circle) is equal to the side length of the larger square.

Area of a semicircle = πr²/4

Thus, the total area of both the semicircle (half circle) and the larger square is given by:

Area = πr²/4 - d²

Note: d = 2r

Area = πr²/4 - (2r)²

Area = πr²/4 - 4r²

Area = (π - r²)/4 sq. units.

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Answer:

Sammy has the greatest amount.

Step-by-step explanation:

I figured that out because half of 1,000,000 is 500,000 , and Laila had 1,000,000 but gave Sammy half of that money , and Sammy had already started out with 90,000 , So 500,000 + 90,000 = 590,000 . So that means Laila is stuck with the 500,000 while Sammy has the 90,000 she started off with and the 500,000 Laila gave her .

Answer:

8008 ways.

Step-by-step explanation:

That is  16! / 10! 6!

= 16*15*14*13*12*11 / 6*5*4*3*2*1

= 16*15*14*13*11 / 6*5*2

= 16*14*13*11 / 2*2

= 4*14*13*11

= 8008.

Answer:The relation shows the relationship between INPUT and OUTPUT. Whereas, a function is a relation which derives one OUTPUT for each given INPUT. Note: All functions are relations, but not all relations are functions

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

SOLUTION

The reflexive property of congruence tells us that a line segment, an angle or a shape/figure is congruent to itself at all times.

So, when a line segment AB is congruent to itself, this clearly shows the reflexive property of congruence.

Therefore option C. reflexive is the correct answer.

Answer:

The function for the standard charge is given below as

The function for the insurance charge is given below as

Concept:

To figure out the total charge C that includes insurance, we will use the formula below

By substituting the functions, we will have

Hence,

The equation connecting C to M is C = 0.75M + 22.65

The area of the shaded region equals 21.43 sq. units.

When calculating how much material is needed to cover a wooden table, how many tiles are needed to tile the floor, how much space is needed for a parking lot, how much paint is needed for the walls, etc., we employ the notion of area.

Given, A circle is circumscribed in the square,

Area of shaded region = area of square - area of circle

Area of square = Side²

= 10 × 10 = 100 sq. units,

Area of circle = Πr²

Radius = Diameter / 2

radius = 10 / 2 = 5 units

Area of circle = 22/7 × 5 × 5

= 78.57 sq. units

Area of shaded region = 100 - 78.57,

Area of shaded region = 21.43 sq. units

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Answer:

500%

Step-by-step explanation:

\( \frac{6 \times 100}{1.2} = 500\%\)

The distance between the two points on the coordinate plane A(-3,-4) and B(-3,5) is equal to 9 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-3 + 3)² + (5 + 4)²]

Distance = √[(0)² + (9)²]

Distance = √[0 + 81]

Distance = √81

Distance = 9 units.

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what do you mean by &?

if its multiplication than

2 × 1/4 = 0.50 or 1/2

4+ (-2) = 2

so the answer is:

2 = 1/2

false

Step-by-step explanation:

the first statement and reason is usually found in what's given at the beginning.

1.a 1. given

the last one is what they want you to prove (also found under what was given)

4. g ( the symbol just means congruent)

supplementary means if I take how far the angle opens up and add it to the other angle I will get a straight line or 180°

the middle letter tells me the corner (vertex) and like opening a book you can see how much the angle opens up. it is a definition for supplementary angles

Answer:

42 1/6 square inches

Step-by-step explanation:

253=6x

x=42 1/6

42 1/6 square inches

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The probability that an employee does the mentoring program or the community outreach program is 0.97.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The probability that an employee participates in the mentoring program is 0.57, and the probability that an employee participates in the outreach program is 0.4.

Let's suppose A is the event that an employee attends mentoring program and B is the community outreach program.

P(∩B) = 0

P(A) = 0.57

P(B) = 0.4

P(A∪B) = P(A) + P(B) - P(∩B)

P(A∪B)  = 0.57 + 0.4 - 0

P(A∪B) = 0.97

Thus, the probability that an employee does the mentoring program or the community outreach program is 0.97.

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Answer:

8 (5 + 3)

Step-by-step explanation:

GCF is 8. Just factor 8 out of both numbers and voila

Answer:

thirsty

Step-by-step explanation:love pionts

a)

Answer: 3

b)

Answer: 2

c)

Answer: 0

d)

Answer: -2