Second part of the problem find the x.

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Model B is the most appropriate for the set (-2,3), (-1,-3), (0, -5), (1, -3), (2,3).

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For number one A we need to multiply 5x5 because exponents make you multiply the base number by the exponent the ammount of times the exponest value is. This would give is 25-6 which equals 19

number 1 B we need to add the 8 and the 3 to give us eleven over five. thats the simplest answer to this question

2a we need to multiply the 5 into the parenthesis

then we add. The answer would be 28

for 2b the answer would be 9 2/9

ill let you solve the rest. hope this helped. dont forget to leave a heart give it 5 stars and make it the brainliest answer!!

The quadratic equation that describes the function is  

f(x) = x² + 4x + 1

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the table that describes the quadratic function h(x) as follows -

{x}                h{x}

−3               −2

−2               −3

−1                −2

0                  1

1                   6

2                  13

3                  22

The quadratic equation is of the form given -

y = ax² + bx + c

For the point (0, 1), we can write -

1 = c                                                      ..... Eq{1}

For the point (1, 6), we can write -

6 = a + b + 1

a + b = 5                                               ...... Eq{2}

For the point (2, 13), we can write -

13 = 4a + 2b + 1

4a + 2b = 12                                               ...... Eq{3}

From Eq{2}, we can write -

a = 5 - b

So, the equation 3 can be written as -

4(5 - b) + 2b = 12

20 - 4b + 2b = 12

20 - 2b = 12

2b = 8

b = 4                                    ...... Eq{4}

then

a = 1                                ...... Eq{5}

So, we can write the quadratic equation as -

f(x) = x² + 4x + 1

Therefore, the quadratic equation that describes the function is  

f(x) = x² + 4x + 1

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The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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The equation of line q is  y = x/10 - 9/10.

What is equation of straight line?

   A line that does not curl or bend is said to be straight. A line has length but no width, making it a one-dimensional figure. A line consists of points that extend infinitely in opposite directions. Two points in a 2D plane determine it. A, B, and C are real-based constants in the formula Ax + By + C = 0, A, B 0. The geometric representation of the equation is always a straight line.

Here the given line P,

=> y+5=-10(x+2)

=> y+5=-10x-20

=> y = -10x-25

Here in the given line y=mx+c , where m=slope. Then,

=> Slope of line P = -10.

Here line P is perpendicular to line q.

Then, slope of line q = -1/ slope of line p = -1/-10 = 1/10

Now the line passes through the point \((x_1,y_1)=(-1,-1)\) then,

=> \(y-y_1=m(x-x_1)\)

=> y+1 = 1/10 (x+1)

=> 10y+10 = x+1

=> 10y=x-9

=> y = x/10 - 9/10.

Hence the equation of the line q is  y = x/10 - 9/10.

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Answer:

$20

Step-by-step explanation:

Gym city fees are:

Sign up = 30

6 monthly sub = 6 x 25 = 150

Total fees = 30 + 150

FitnessExpress fees are:

Sign up = 20

6 monthly sub = 6 x 30 = 180

Total fees = 20 + 180 = 200

Therefore, the difference between the two is $20

A = 139°

B = 139°

You can see A and B are coefficients of each other, which means they have the same angle because they are opposite each other on the straight line. just like the two 41° angles are.

The angle around a point always add up to 360°, so add the 41° angles.

41 + 41 = 82°

Then minus this by 360°.

360 - 82 = 278°

And to work out one angle, which gives you the angle for both, divide 278 by two.

278 ÷ 2 = 139°

Both A and B have an angle of 139°

Example:

To find the value of two intersecting lines, you need to know the equations of both lines. Then, you can set the equations equal to each other and solve for the variable x. This will give you the x-coordinate of the point where the lines intersect. To find the y-coordinate, you can plug the value of x into either equation and solve for y. For example, if one line is y = 3x - 5 and another line is y = -2x + 7, then you can set 3x - 5 = -2x + 7 and solve for x:

3x - 5 = -2x + 7

5x = 12

x = 12/5

Then, plug x = 12/5 into either equation and solve for y:

y = 3(12/5) - 5

y = 36/5 - 25/5

y = 11/5

Therefore, the point of intersection is (12/5, 11/5).

If one of the lines has a given angle, such as 41 degrees, then you can use trigonometry to find its equation. For example, if one line passes through the origin and has an angle of 41 degrees with the positive x-axis, then you can use the slope formula to find its equation:

slope = tan(41 degrees) ≈ 0.87

y = mx + b

y = 0.87x + 0

Then, you can use the same method as before to find the point of intersection with another line.

_______________________________________________________

The answer is 139 degrees, using the method I gave.

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Answer:

The answer to your question would be 75 minutes = 1 hour and 15 minutes

Step-by-step explanation:

50 minutes to read 20 pages

10 pages = 25 minutes

20 pages = 50 minutes

30 pages = 75 minutes = 1 hours and 15 minutes

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

f (x+ h) = 4(x+ h) - 6 and f (x+ h) - f (x) = 4(x+ h) - 6 - 4 (x) - 6 are the results of simulating f (x+ h) = 4.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

Given

A) f( x+ h ) = 4( x+ h ) - 6

B) f ( x+ h ) - f (x) = 4 (x+ h ) - 6 - 4 (x) - 6

f (x+ h) = 4(x+ h) - 6 and f (x+ h) - f (x) = 4(x+ h) - 6 - 4 (x) - 6 are the results of simulating f (x+ h) = 4.

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The point at (-3, 4) is at a distance of 5 units from the point (0, 0).

For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:

distance = √( (x₁ - x₂)² + (y₁ - y₂)²)

In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:

distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5

The distance is 5 units.

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Answer:

27/7

Step-by-step explanation:

by calculator..

or you can do these steps

1/4(4t-9)=1/8(t+9) "divided l.h.s and r.h.s by ⅛"

2(4t-9)=t+9.

8t-18=t+9

7t=27

t=27/7

Answer:

a)  Red marble:  6/17

b) Green marble: 11/17

c) Purple marble : 0/17 = 0

d) a red or a green marble: 1

Step-by-step explanation:

Number of marbles: 17

Probability to pick one red marble: (# successes) / (# total) = 6/17

Probability to pick a green marble: (# successes) / (# total) = 11/17

Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0

Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1

Answer:

1st Graph : Function

2nd Graph : Not a Function

Step-by-step explanation:

For the 1st Graph , any Vertical Line will not pass the Graph in more than one Point , So it represents a Function

For the 2nd Graph , many Vertical Line will pass the Graph in two Points , So it is not a Function

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The investment with compound interest earns a greater amount of interest by $486.12 compared to the investment with simple interest.

To determine which investment earns a greater amount of interest, we need to calculate the interest earned in both scenarios and compare the results.

1. Simple Interest:

The formula for simple interest is given by: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.

Using this formula, we can calculate the interest earned with simple interest:

I = 100,000 * 0.03 * 4

I = $12,000

2. Compound Interest:

The formula for compound interest is given by: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time period.

In this case, the interest is compounded annually, so n = 1. Let's calculate the amount earned:

A = 100,000 * (1 + 0.03/1)^(1*4)

A = 100,000 * (1.03)^4

A = $112,486.12

The interest earned in the compound interest scenario is A - P = $112,486.12 - $100,000 = $12,486.12.

The difference between the amounts of interest earned by the two investments is:

$12,486.12 - $12,000 = $486.12.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

b

Step-by-step explanation:

divide both sides by 2pi

Answer:

3

Step-by-step explanation:

It depends on the denominator

For 3 where comparing 16 to 24

Of course its going to be 16

Hope this helps!

A relation from A to B is a function if it satisfies two properties:

Suppose we have two sets A and B and we have a relation that maps elements of A to elements of B. A relation from A to B is defined as a function if every elements of A is related to exactly one element of B.

Let (x,y) is a pair of input and output. If (x,y) is related by a function f, we can denote  (x,y) ∈ F

We can write the first condition as:

Since x is mapped to the exactly one output, then if both y and z are elements of B and (x,y) and (a,z) are in F, then y must be equal to z. Hence, the second condition is:

   2. For all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.

There are typos in your question. Most likely your question was like on the attached picture:

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Answer:

The solution is x = -15.

Step-by-step explanation:

4x - 5 = 0

Add 5 to both sides:

4x = 5

Divide both sides by 4:

x = 5/4

Therefore, the solution is x = 5/4.

3x - 1/2 = 0

Add 1/2 to both sides:

3x = 1/2

Divide both sides by 3:

x = 1/6

Therefore, the solution is x = 1/6.

1/3x + 5 = 0

Subtract 5 from both sides:

1/3x = -5

Multiply both sides by 3:

x = -15

Therefore, the solution is x = -15.

Step-by-step explanation:

4x-5=0

collect like terms,

4x=5

divide both sides by the coefficient of x, 4

4x/4 = 5\4

4 cancels out on the LHS,

we have x=5\4 as the answer

3x-1\2=0

collect like terms..

3x=1\2

since the RHS is a fraction ,we multiply both sides by 2

6x=1

divide both sides by 6

x=1\6

1\3x+5=0

collect lkke terms...

1\3x=-5

cross multiply, we have

-5(3x)=1

-15x=1

x=1/-15

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

4

Step-by-step explanation:

Answer:

\(\frac{10}{43}\) acres

Step-by-step explanation:

Divide 10 by 43:

10/43

In simplest form as a fraction, this is \(\frac{10}{43}\)

So, each section would have \(\frac{10}{43}\) acres

Answer:

WEGGWEGEWGEWGGEWGWE

Step-by-step explanation:

EWGWEGWEW

Answer:

A is -24

B is 0

C is  1

Step-by-step explanation:

Hope this helps and please give me brainlest

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

(a) - \(y=-2x+18\)

(b) - \(y=\frac{1}{2} x-\frac{9}{2}\)

Step-by-step explanation:

Given the equation of a line, which we'll call line 1, find the following.

(a) - The equation of a line, which we'll call line 2, that is parallel to line 1 and travels through the point (9,0)

(b) - The equation of a line, which we'll call line 3, that is perpendicular to line 1 and travels through the point (9,0)

Given:

\(3y+6x=-6\)

(1) - Write the equation of line 1 in slope-intercept form

\(\boxed{\left\begin{array}{ccc}\text{\underline{Slope-Intercept Form:}}\\y=mx+b\\\bullet \ m \ \text{is the slope of the line}\\\bullet \ b \ \text{is the y-intercept of the line}\end{array}\right}\)

\(3y+6x=-6\\\\\Longrightarrow 3y=-6-6x\\\\\Longrightarrow y=-\frac{6}{3} -\frac{6}{3}x \\\\\therefore \boxed{y=-2x-2}\)

Thus, we can conclude the slope of line 1 is -2.

(2) - Answering part (a)

To find a line that is parallel to line 1, the slopes must be the same, -2. Use the point-slope form for a line to find the equation for line 2.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Point-Slope Form:}}\\y-y_1=m(x-x_1)\\\bullet \ m \ \text{is the slope of the line}\\\bullet \ (x_1,y_1) \ \text{is a point the line passes through}\end{array}\right}\)

\(y-y_1=m(x-x_1); \ \text{Recall that} \ m=-2 \ \text{and} \ (x_1,y_1)=(9,0)\\\\\Longrightarrow y-0=-2(x-9)\\\\\therefore \boxed{\boxed{ y=-2x+18}}\)

Thus, the equation for line 2 is found.

(2) - Answering part (b)

To find a line that is perpendicular to line 1, the slope of line 3 must be the opposite-reciprocal of line 1's. Once again, use the point-slope form of a line to find the equation of line 3.

\(y-y_1=m(x-x_1); \ \text{Recall that} \ m=\frac{1}{2} \ \text{and} \ (x_1,y_1)=(9,0)\\\\\Longrightarrow y-0=\frac{1}{2}(x-9)\\\\\therefore \boxed{\boxed{ y=\frac{1}{2} x-\frac{9}{2} }}\)

Thus, the equation of line 3 is found.

The population variance and standard deviation for the following ages of children in a family is 17.42,4.17.

The term variance refers to a statistical measure of the difference between numbers in a data set. More specifically, the variance measures how far each number in the set is from the mean (mean), and thus from all the other numbers in it. Variance is often described by this symbol: σ2.

Standard deviation is a measure of how much variation (eg spread, variance, dispersion) there is from the mean. The standard deviation indicates the "typical" deviation from the mean. It is a popular measure of variability because it returns the data set to its original units of measurement.

mean = (1+3+5+7+8+11+14)/7=7

variance

∑\(( X -u )^{2} /n\)

=  (36+16+4+0+1+16+49)/7=17.42

standard deviation =  \(\sqrt{variance}\)

= 4.17

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