Describe the equation x=3.

a. What does the graph look like?

b. What is the slope?

Answer:

x=12 or x=2

Step-by-step explanation:

4 is the slope of the linear relationship. Thus, correct option is: c

An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.

Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.

A linear relationship is given in the table.

According to the data of the table,

x: -2  -1  0  1  2

y:  -13  -9  -5  -1  3

now, slope = (y₂ - y₁) / (x₂ - x₁)

slope = {-9 -(-13)} / {-1 -(-2)}

slope = 4

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The investment compounded periodically will be worth more than the investment compounded annually.

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The equation for the parabola is y = -2x2 - 4x + 5.

To find the equation for the parabola, we need to first substitute the three given points into the general equation y = ax2 + bx + c and solve for the constants a, b, and c.

Substituting the point (?1, ?9):

?9 = a(?1)2 + b(?1) + c

Substituting the point (1, ?3):

?3 = a(1)2 + b(1) + c

Substituting the point (2, ?6):

?6 = a(2)2 + b(2) + c

Solving the three equations for a, b, and c gives us the equation of the parabola:

y = -2x2 - 4x + 5.

The equation for the parabola that passes through the points

(?1, ?9), (1, ?3), and (2, ?6) is y = -2x2 - 4x + 5.

To find the equation, we first substituted the three given points into the general equation y = ax2 + bx + c and solved for the constants a, b, and c. We then rearranged the three equations to form a system of equations that could be solved for a, b, and c. The solution to the system of equations gave us the values of a, b, and c, which when substituted into the original equation gave us the equation of the parabola. Thus, the equation of the parabola that passes through the three points is y = -2x2 - 4x + 5.

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Therefore , the solution of the given problem of angles comes out to be

∠m  = 140° for the given question.

An angle in Euclidean geometry is a form comprised of two rays, known as the flank of the hooking, that converged at the summit of both angles, which is situated in the middle. In the plane where they are positioned, two rays may come together to make an angle. An angle is also produced when two planes collide. They are referred to as dihedral angles. There are many different ways to arrange line segment ray with dismissals in order to make an angle in two dimensions.

Here,

Given : ∠m/∠JKL = 60° , JK=LM=21 feet and  KL =JM=9 feet.

Thus ,

to find the value of m :

From the given information we can say that

=> JKL = 21/9

=> JKL = 7/3

So,

=> 3∠m/7  = 60

=> 3∠m  = 60 * 7

=> ∠m  = 140°

Therefore , the solution of the given problem of angle comes out to be

∠m  = 140° for the given question.

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a+b+c=11, so number of solutions is (n + r - 1) choose (r - 1), n=11, r = 3, you get (11 + 3-1) choose (3-1) , or 13 choose 2 = 78.

There are 78 solutions.

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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pooppooppooppooppooppooppooppooppoppoppop

Answer:

5a+13

Step-by-step explanation:

17-7a+12a+6

combine like terms

-7a+12a+7+6

simplify

5a+13

Answer: 5

Step-by-step explanation:

17 - 7a + 12a + 6  

1. Combine similar terms:

17 - 7a + 12a + 6 = 23 + 5a = 5a+23

The number that goes into the green box is 5.

The total price of the flower bouquet and box of chocolates that the customer bought after a 20% discount and including 8.25% tax is $46.80.

The original cost of the flower bouquet and box of chocolates that the customer bought was $36 + $18 = $54. The customer then used a 20% off coupon, reducing the cost to $54 - ($54 * 20%) = $43.20. This new total was then subject to an 8.25% tax, which added $43.20 * 8.25% = $3.58 to the final cost. The final price of the items, including both the discount and tax, was $43.20 + $3.58 = $46.80.

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Answer:

the answer is 42 I believe ;)

Answer: The perimeter of a rectangle is the sum of all four sides. If the perimeter of the rectangle is 48 cm, that means that the sum of the length and width of the rectangle, multiplied by 2, is equal to 48.

Given that the length is 8 more than 3 times the width, we can set up the following equation:

length = 3 * width + 8

We can also use the area formula, which states that the area of a rectangle is equal to the product of the length and width. Let's call the width "w" and the length "l".

area = l * w

We can substitute the equation for length into the area equation:

area = (3w + 8) * w

We know the area of the rectangle, so we can substitute that in too:

area = (3w + 8) * w = 48

To find the width and length, we need to solve this equation for "w" and then substitute "w" back into the equation for "length". This will give us the width and length of the rectangle.

Step-by-step explanation:

Variability assigns to how "spread out" a group of scores is.

Range: The range is the easy measure of variability to calculate, and one you have probably experienced many times in your life. The range is simply the highest score minus the lowest score.

Let us take an example. What is the range of the following group of numbers: 10, 2, 4, 5, 8, 3, 4? Well, among these numbers 10 is the highest, and the lowest number is 2, so 10 - 2 = 8. So, the range is 8.

Interquartile Range: It (IQR) is the range of the middle 50% of the scores in a dispatch.

Variance: Variability can also be defined in terms of how close the scores in the distribution are to the middle of the distribution.

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The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is found by multiplying the length by the width.

So, the area of the chalkboard is 1.7 m * 0.9 m = 1.53 m^2.

Therefore, The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is a measure of the amount of space inside the rectangle. It is calculated by multiplying the length of the rectangle by its width. The formula for finding the area of a rectangle is:

Area = Length x Width

For example, if a rectangle has a length of 4 meters and a width of 2 meters, the area of the rectangle would be 4 x 2 = 8 square meters.

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The probability that the number chosen is 1 is 1/3

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

For example if there are 15 fruits In bag and 3 are banana. The probability of choosing banana is 3/15 = 1/5.

Probability is given as sample space /total outcome

The total outcome = 12

The sample space of number 1 is 4. This is because 1 appeared 4 times in the experiment.

Therefore the probability of chosen a ball that has number 1 is

= 4/12

= 1/3

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The factor of 10abcd is  2 x 5 x a x b x c x d.

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Given:

We have the phrase: Factor of 10abcd.

To find the factor of 10abcd:

Simplifying,

10abcd,

= 2 x 5 x a x b x c x d.

Therefore, the factor is  2 x 5 x a x b x c x d.

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When the polynomial 2x³-3x²+4x+7 is divided by x+3, the remainder is -86.

The given polynomial is 2x³ - 3x² + 4x + 7.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(2x^2) = 2x^3

Thus, we multiply the divisor (x+3) by 2x^2 which gives 2x^3 + 6x^2

Now we subtract this from the polynomial which gives -9x^2 + 4x + 7.

In the same way we multiply the divisor by -9x which gives -9x^2 - 27x. Subtracting the same from -9x^2 + 4x + 7we get 31x + 7.

Now we multiply the divisor with 31 which gives 31x + 93. Subtracting it from the remaining polynomial 31x + 7 leaves the remainder -86.

The question is incomplete, the complete question is:

When the polynomial 2x³ - 3x² + 4x + 7 is divided by x + 3 The remainder is?

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The expected winnings from one flip are the possibility that an unfair coin will land on heads with a probability of $2.

Measurement of the likelihood that an event will occur or a claim is true is done via probability theory, a branch of mathematics. The probability of an event is a number between 0 and 1, with 1 denoting certainty and 0 roughly indicating how likely it is that the event will occur. A probability is a numerical representation of how likely it is that a certain event will take place. Probabilities can also be expressed as ranges of 0% to 100% or 0 to 1. the proportion of occurrences in a full set of equally likely possibilities that lead to a particular occurrence relative to the total number of outcomes.

given

expected value,  E(x) = 0.6*4 + 0.2*-1 + 0.2*-10

= 2.18

≈ $2

The expected winnings from one flip are the possibility that an unfair coin will land on heads with a probability of $2.

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One can solve basic algebraic expressions by following these steps.

Students typically learn to solve basic algebraic expressions by following these steps:

Identify the variable and the coefficient (number in front of the variable) in the expression.

Use the order of operations (PEMDAS) to simplify any arithmetic within the expression.

Use the distributive property to combine like terms.

Isolate the variable on one side of the equation by using inverse operations (such as adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same non-zero value).

Substitute in a value for the variable to find the numerical value of the expression.

It's good to practice with a lot of examples and check the solutions and ask for help if needed.

Example:

Solve for x: 3x + 2 = 12

variable is x, coefficient is 3

nothing to simplify

nothing to combine

subtract 2 from both sides: 3x = 10

divide both sides by 3: x = 10/3 or 3.3333

x = 3.3333

It's important to note that solving algebraic expressions can become more complex as the student progresses, but the basic steps remain the same.

Thus, One can solve basic algebraic expressions by following these steps.

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An algebraic expression is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

What is algebraic expression ?

An algebraic expression is a mathematical phrase that includes variables, constants, coefficients, and algebraic operations. For example, 5x2+6xy−c is an algebraic expression. Unlike algebraic equations, algebraic expressions do not have equal signs.

Types of algebraic expression ,

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

1) A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too.

2) Binomial expressions are common English phrases that include a pair of words usually joined by “and” or “or”.

3) A polynomial is composed of variables, constants and exponents, that are combined using mathematical operations.

An algebraic expression is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

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The probability that randomly selected individuals will have a mean weight of at least  170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.

Given,

Mean, μ = 172 lb

standard deviation, s = 29 lb

n = 50

and we have to determine: P(x < 170 lb)

Initially, Using the z score formula we find the z value corresponds to a sample mean of 170

z = (x - μ)/([tex]s/\sqrt{n}[/tex]) = [tex]\frac{170-172}{\frac{29}{\sqrt{50} } }[/tex]  = -0.48

Now, using the z table to locate the probability:

P(x < 170) = P(z < -0.48)

or P(z < -0.48) = 0.3156 = 31.56 %

Therefore, the probability that randomly selected individuals will have a mean weight of at least  170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.

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The complete question is:

Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected, what is the probability that randomly selected individuals will have a mean weight of at least  170 pounds?

Answer:

-3 x + 8

Step-by-step explanation:

Simplify the following:

-2 x - x + 8

Grouping like terms, -2 x - x + 8 = (-2 x - x) + 8:

(-2 x - x) + 8

-2 x - x = -3 x:

Answer: -3 x + 8

JKP = 35°

If P is the incenter of jkl find each measure?

Given P is the incentre of the triangle,

ie., P is the point of intersection of all 3 angular bisectors.

so, from vertex J we have the angular bisector JN dividing the ∠J such that ∠KJN = ∠NJL

ie, (7x-6) = 5x+4

=> 7x-5x = 4+6

=> 2x = 10

=> x= 10/2 = 5

so, the angles are ∠KJN = 7(5)-6 = 35-6 = 29°

and ∠NJL = 5(5)+4 = 25+4 = 29°

adjacent to the vertex J, we have L with angular Bisector LM dividing the ∠L such that ∠KLM = ∠MLJ

so, given that ∠KLM = 26° => ∠MLJ = 26°

so, we have ∠J = 29°+29° = 58°

and ∠L = 26°+26° = 52°

In the given ΔJKL, we know ∠J + ∠K + ∠L = 180°

=> 58°+ ∠K + 52° = 180°

=> ∠K + 110° = 180°

=> ∠K = 180° - 110°

=> ∠K = 70°

we have angular bisector, KO bisecting ∠K such that ∠JKO = ∠OKL

we know, ∠K = ∠JKO +∠OKL

also, 70° = ∠JKO +∠JKO ( as angular bisectors)

70° = 2∠JKO

=> ∠JKO = 70°/2 = 35°

from the diagram, ∠JKO = ∠JKP

and hence ∠JKP = 35°

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Therefore , the solution of the given problem of triangle comes out to be length of each side is √61 and perimeter = 3√61 unit.

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given : ABC with vertices A (-2,3) B (3, -3), and C (-2, -3)

To calculate the length :

length = √(x2 -x1)² + (y2-y1)²

=> AB =  √(3 -(-2))² + (-3-(3))² = √61 unit.

=> BC = √(-2 -(3))² + (-3-(-3))² = √61 unit.

=> AC = √(-2 -(3))² + (-3-(-3))² = √61 unit.

and the perimeter of the given triangle = √61 +√61+√61 =3√61 unit.

Therefore , the solution of the given problem of triangle comes out to be

length of each side is √61 and perimeter = 3√61 unit.

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The quotient of x³ - 3x² + 3x - 2 divided by x² - x + 1 is x - 2.

The given polynomial is x³ - 3x² + 3x - 2.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x^2) (x) = x^3

Thus, we multiply the divisor (x² - x + 1) by x which gives x^3 - x^2 + x

Now we subtract this from the polynomial which gives -2x^2 + 2x - 2.

Repeating the same we multiply the divisor by -2 which gives

-2x^2 + 2x -2. Subtracting the same from -2x^2 + 2x - 2, we get the remainder 0.

Thus, we get the quotient as x - 2.

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If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

Now, According to the question:

What is Inverse Function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^-^1[/tex] or [tex]F^-^1[/tex].

Hence, If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

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Answer: 0.6 mm

Step-by-step explanation:

An exponential function for a graph that includes (-1,12.5) and (4,4.096) is,

⇒ y= 10(0.80)ˣ

A relation between a set of inputs having one output each is called a function.

Given that;

An exponential function is,

⇒ y= abˣ

Here, An exponential function for a graph includes (-1,12.5) and (4,4.096).

Hence, The points must satisfy the exponential function.

So, Put x = - 1, y = 12.5,

⇒ y = abˣ

⇒ 12.5 = ab⁻¹

⇒ 12.5b = a  .. (i)

And, Put x = 4, y = 4.096,

⇒ 4.096 = ab⁴

⇒ 4.096 = ab⁴

From (i), put the value of a in above equation we get;

⇒ 4.096 = (12.25b) b⁴

⇒ 4.096 = 12.25b⁵

⇒ 4.096 /12.25 = b⁵

⇒ b = ⁵√0.33

⇒ b = 0.80

And, from (i);

⇒ 12.5b = a

⇒ 12.5 × 0.80 = a

⇒ a = 10

Hence, An exponential function for a graph that includes (-1,12.5) and (4,4.096) is,

⇒ y= abˣ

⇒ y= 10(0.80)ˣ

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To graph a log function by hand, you need to determine the type of log function you are graphing, what the base of the function is, and what the x and y values of the function are.

Then, determine the range of x and y values that you want to graph. Plotting points on the graph for each x and y value will give you the graph for the log function.

To graph a log function by hand, you need to determine the type of log function, the base, and the x and y values. Then, plot points on the graph for the given x and y values to create the graph.

To graph a log function by hand, you need to determine the type of log function you are graphing, what the base of the function is, and what the x and y values of the function are.

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Answer: f(x)=-3x+2

Step-by-step explanation: