PLZ HELP ME!!!!!!!!!!!!!! 20 pOINTS

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Answer:

58º and 122º

Step-by-step explanation:

Let x be the measure of the said angle.

x+x+64=180 (because they are supplementary)

2x+64=180

2x=116

x=58

So there other angle is 58+64=122

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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ANSWER 92°

REMEMBER! angles in a triangle add up to 180°

this means that:

(x) + (3x + 13) + (x - 8) = 180

5x + 5 = 180

5x = 175

therefore x = 35

now that we know x, we can apply this to work out the angle mentioned, the angle a:

A = 3(35) - 13

   = 92°

Answer:

\(y = -\frac{1}{3}x + 4\)

Step-by-step explanation:

Required

Equation of line

passes through \((6,2)\)

In an equation of the form \(y =mx + b\); the slope is \(m\)

So, by comparison;

The slope of \(y = 3x + 1\) is: \(m =3\)

From the question, we understand that the required equation is perpendicular to \(y = 3x + 1\)

This means that its slope is:

\(m_2 =-\frac{1}{m}\)

So, we have:

\(m_2 =-\frac{1}{3}\)

The line equation is:

\(y = m_2(x - x_1) + y_1\)

Where:

\((x_1,y_1) = (6,2)\)

So, we have:

\(y = -\frac{1}{3}(x - 6) + 2\)

\(y = -\frac{1}{3}x + 2 + 2\)

\(y = -\frac{1}{3}x + 4\)

Answer:

p+t i dont know the question dose not make sence

Step-by-step explanation:

Answer:

\(Average\ Speed = \frac{s(7) - s(2)}{5}\)

Step-by-step explanation:

Given

t = 2 to 7

Required

Find the average speed over these intervals

The function is not given; so, I'll represent the function as s(t)

When \(t = 2;\)

\(s(t)= s(2)\)

When \(t = 7\)

\(s(t) = s(7)\)

\(Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}\)

This gives:

\(Average\ Speed = \frac{s(7) - s(2)}{7 - 2}\)

\(Average\ Speed = \frac{s(7) - s(2)}{5}\)

thanks for the points

Step-by-step explanation:

noob

Answer: Please mark brainliest if right

113/100

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

the fraction equivalent of the repeating decimal 1.13 (3 repeated) in simplest form is 17/15.

To convert the repeating decimal 1.13 (3 repeated) into a fraction, we can use the concept of a geometric series.

Let's denote the repeating decimal as x:

x = 1.133333...

To eliminate the repeating part, we can multiply x by a power of 10 that will shift the repeating part to the left of the decimal point:

10x = 11.33333...

Now, subtracting the original equation from this equation, we can eliminate the repeating part:

10x - x = 11.33333... - 1.133333...

Simplifying:

9x = 10.2

Dividing both sides by 9, we find:

x = 10.2/9

Simplifying the fraction, we get:

x = 1.133333... = 10.2/9 = 17/15

Therefore, the fraction equivalent of the repeating decimal 1.13 (3 repeated) in simplest form is 17/15.

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The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.

To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.

In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:

x + 30 = (2n + 1)π

Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:

x = (2n + 1)π - 30

This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.

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the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

D: 11

Step-by-step explanation:

mark brainliest

Answer:

60 ÷4= 15 it you need more help just ask me

Answer:

The range is just the y-values that result from plugging in the given x-values.

Meaning, if x = -3, y = f(-3) = 2(-3)+3 = -3

So the first value in your range is -3.

Now plug in (-1)

y = f(-1) = 2(-1)+3 = 1

The next value in your range is 1

Plug in the 1.

y = f(1) = 2(1) + 3 = 5

The last value in your range is 5

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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The distance traveled is 13 meters, magnitude of displacement is 9 and displacement is 9 meters.

As we know, that distance is the total path covered while displacement is the minimum distance between the two points.

a. The distance traveled = (10 - 2) + (10 - 8) + (11 - 8)

The distance traveled = 8 + 2 + 3

Distance traveled C will be = 13 meters.

b. The distance covered by C from start to finish is from 2 to 11. Thus, the displacement of C is = 11 - 2

Magnitude of displacement of C = 9.

c. Similarly, the displacement is 9 meters.

Therefore, the distance traveled is 13 meters and the magnitude of displacement is 9 and the displacement is 9 meters.

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Answer:

give me more instructions so i can actually help

Step-by-step explanation:

\(y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12\)

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

B. Petri dishes and sterile droppers

The Mean Value Theorem states that there exists a point c in the interval of the given function such that the derivative of the function at this point is equal to the average rate of change of the function on the interval. In this case, c = 7/2 satisfies the theorem for f(x) = 3x^2 - 5x + 1 on the interval [2, 5].

Using the Mean Value Theorem, we can find c by solving the equation 3c^2 - 5c + 1 = (3(5)^2 - 5(5) + 1 - (3(2)^2 - 5(2) + 1)) / (5 - 2). Simplifying, we get c = 7/2.

The Mean Value Theorem states that there exists a point c in the interval of the given function such that the derivative of the function at this point is equal to the average rate of change of the function on the interval. To find this point c, we must solve the equation

3c^2 - 5c + 1 = (3(5)^2 - 5(5) + 1 - (3(2)^2 - 5(2) + 1)) / (5 - 2).

This simplifies to c = 7/2, which means that this value of c satisfies the conclusion of the Mean Value Theorem for

f(x) = 3x^2 - 5x + 1

on the interval [2, 5]. This means that for any value of x within the interval, the rate of change of the function is always equal to 7/2.

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Answer:

Step-by-step explanation:

didn't distribute the 3 into the six

16z+72z-18-7-31z

57z-25

After answering the provided question, we can conclude that Therefore, the area of the triangle is approximately 49.808 square units.

A triangle is a closed, double-symmetrical object that consists of three line segments called ends of the spectrum that intersect at three points called vertices. Triangles can be distinguished by their sides and angles. Triangles can be equilateral (equal factions), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), okay (one angle equal to 90 degrees), or orbicular (all angles greater than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is its height.

1. Using Heron's Formula:

a = √[(-8-1)² + (7-(-6))²] = √170

b = √[(1-5)² + (-6-9)²] = √221

c = √[(-8-5)² + (7-9)²] = √170

where a, b, c are the lengths of the sides of the triangle.

\(s = (a+b+c)/2 = (\sqrt170 + \sqrt 221 + \sqrt 170)/2 = 10.231\\A = \sqrt s(s-a)(s-b)(s-c)= \sqrt 10.231(10.231-\sqrt 170)(10.231-\sqrt 221)(10.231-\sqrt 170)= 49.808\)

Therefore, the area of the triangle is approximately 49.808 square units.

2. Using the Base and Altitude:

\((y - 7)/(x + 8) = (9 - 7)/(5 + 8)\\(y - 7)/(x + 8) = 2/13\\y = (2/13)x + (101/13)\\\)

slope line passing through (-8,7) and (1,-6) is:

(\(-6 - 7)/(1 + 8) = -13/9\\(y + 6)/(x - 1) = 9/13\\y = (9/13)x - (63/13)\\\)

height of the triangle:

\((2/13)x + (101/13) = (9/13)x - (63/13)\\x = 32/11\\y = (9/13)(32/11) - (63/13) = -2.231\\\)

Using the formula A = (1/2)bh, we have:

\(A = (1/2)(\sqrt(1-(-8))² + (-6-7)^2)(2.231) = 49.808\)

Therefore, the area of the triangle is approximately 49.808 square units.

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the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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The Event of choosing a letter from F to D is

n(A) = 4

A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.

Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is

Generally, the equation for S is  mathematically given as

S = {A,B,C,D,E,F,G,H} and n(S) = 8

Therefore

G = The event of choosing a label from D to F

Where

F= {A,B,C,D}  

Sample size

n(A) = 4

In conclusion,

n(A) = 4

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The slοpes οf the οppοsite sides are negative reciprοcals and alsο, the rectangle is a square because the οppοsing angles are cοngruent.

A unique kind οf rectangle called a square is οne with fοur cοngruent sides and fοur cοngruent angles (90 degrees). A square alsο has the same characteristics as a rectangle (οppοsite sides are parallel and cοngruent, and οppοsing angles are cοngruent) plus the fοllοwing characteristics:

Cοngruence exists οn all fοur sides. Cοngruent angles exist fοr all fοur (90 degrees).

Right angles separate the diagοnals frοm οne anοther and they are cοngruent. The square is divided alοng the diagοnals intο fοur identical right triangles.

Tο determine if ABCD is a square, we need tο check if all fοur sides are cοngruent and if the οppοsite angles are cοngruent.

Using the distance fοrmula, we can find the lengths οf each side:

AB = √[(9-(-1))² + (4-9)²] = \(\sqrt{170}\)

BC = √[(4-9)² + (-6-4)²] = \(\sqrt{170}\)

CD = √[(-6-4)² + (-1-(-6))²] = \(\sqrt{170}\)

DA = √[(-1-(-6))² + (9-(-1))²] = \(\sqrt[]{170}\)

All fοur sides have the same length, thus the rectangle is a rhοmbus.

Tο determine if it is alsο a square, we need tο check the angles.

Using the slοpe fοrmula:

slοpe AB = (4-9)/(9-(-1)) = -5/10 = -1/2

slοpe BC = (-6-4)/(4-9) = -10/-5 = 2

slοpe CD = (-1-(-6))/(-6-4) = 5/10 = 1/2

slοpe DA = (9-(-1))/(-1-(-6)) = -10/-5 = 2

The slοpes οf the οppοsite sides are negative reciprοcals οf each οther, indicating that they are perpendicular tο οne anοther. The rectangle is a square because the οppοsing angles are cοngruent.

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a= -2, b=5 and c=10

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

Arrange them from biggest to smallest

Step-by-step explanation:

The bigger the circle the larger the area

Answer:

4, 3, 1, 2

Step-by-step explanation: