Given two points, (3, 2) and (7, 18), determine both the linear and quadratic equations crossing both points. Let f(x) and f(k) be the linear and quadratic equation respectively. Write both in standard form

Trejo is correct, because if you know the x-intercepts, y-intercepts, domain, and range of a function then you automatically know the x- intercepts, y-intercepts, domain, and range of its inverse.

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

Given that;

Trejo says that if you know the x-intercepts, y-intercepts, domain, and range of a function then you automatically know the x- intercepts, y-intercepts, domain, and range of its inverse.

But, Hilary disagrees, She says you know the intercepts but that is all you know for sure.

Now,

We know that;

In a function, If if you know the x-intercepts, y-intercepts, domain, and range of a function then you automatically know the x- intercepts, y-intercepts, domain, and range of its inverse.

Thus, The Trejo is correct.

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Answer:

x = 20

Step-by-step explanation:

All sides are equal ( as shown by the markings )

An equilateral triangle's angles = 60

Ask self, what can I multiply by 3 to get 60?

if n is a positive integer: 1²+ 2² + 3² + ... +n² = 1/6n(n+1)(2n+1)​ IS 1

P(n) :

1²+ 2² + 3² + … +n² = 1/6n(n+1)(2n+1)​

P(1) :

[tex]1^2=\frac{1(1+1)(2(1)+1)}{6}[/tex]

[tex]1=\frac{6}{6}=1[/tex]

∴ LHS = RHS

Assume P(k) is true

P(k):

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Answer:

33.75

Step-by-step explanation:

1.75*95 = 16 6.25

200 - 166.25 = 33.75

The number of points is simply 5 times this random variable, and E(C*Y) = C*E(Y), where C is a constant and Y is a random variable, according to expected value principles. As a result, E(X) = 5*2 = 10.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

The number of dice that are showing an even number is a binomial random variable with n = 4, and p = 1/2 (because half the faces on the die are even and half are odd).

The expected value of this random variable is n*p = 4*1/2 = 2.

The number of points is simply 5 times this random variable, and by the rules of expected value, E(C*Y) = C*E(Y), where C is a constant and Y is a random variable. Thus E(X) = 5*2 = 10.

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Answer:

4d-20

hope this helps

Step-by-step explanation:

NP, PM, and MN are all midsegments and bisect each side.

value of x = 5 unit

NP = 12

MP=2x

RQ = 5x-1

SQ=6x

Using Midsegments of a Triangle

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle

Triangle Midsegment Theorem

Using Midsegments of a Triangle

Theorem 5-1 Triangle Midsegment Theorem

The segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and is half as long.

Triangle Midsegment Theorem A segment whose endpoints are the

midpoints of two sides of the triangle

Midsegment

Base

Midsegment = ½ of Base

M = ½ b

NP =1/2(RQ)

12 =1/2(5x-1)

12* 2 = 5x-1

24 =5x-1

24+1 =5x

25 =5x

x=25/5

x = 5 unit

NP, PM, and MN are all midsegments and bisect each side.

value of x = 5 unit

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For this we can use an equation of y=mx+b, b will equal what she started with, and m will be how much she saves each week

Using this, we now can use the equation Y=15x+30, y equals the total she has saved, and x equals the weeks.

You should be able to use this equation to solve the rest now!

Answer:

domain: (-oo,oo)

range:[2,oo)

Answer:

its isssssssss x=5

Step-by-step explanation:

.......

Answer:

it's 5

Subtract

3

3x

3x

from both sides of the equation

4

=

3

+

5

4x=3x+5

4x=3x+5

4

−

3

=

3

combine the like terms 4

−

3

=

3

+

5

−

3

}{-3x}}=3x+5-3x

4x−3x=3x+5−3x

1

=

3

+

5

−

3

+

5

−

3

Slope of the line AB is 7/6.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given graph the coordinates of A are (4, 3) and B is (-2, -4)

Slope AB=-4-3/-2-4

=-7/-6

Slope=7/6

Hence, slope of the line AB is 7/6.

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Answer:

No, it is AAS.

Step-by-step explanation:

By vertical angle theorem ∠KLJ≅∠MLN.

And the given congruent sides are not between the two congruent angles, therefore it cannot be ASA.

Triangle KLJ ≅ Triangle MLN

Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The rate of Earth's rotation is about 1,000 miles per hour, and the speed of its revolution is about 67,000 miles per hour, but both of those speeds are so slow that we don't feel any movement or acceleration.

Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The rate of Earth's rotation is about 1,000 miles per hour and its revolution is about 67,000 miles per hour, but both of these speeds are too slow to be felt.Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The speed of Earth's rotation is about 1,000 miles per hour, and the speed of its revolution is about 67,000 miles per hour, but both of those speeds are so slow that we don't feel any movement or acceleration.

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The 3 different polynomial equations are linear polynomial equations, quadratic polynomial equations, and cubic polynomial equations.

A polynomial equation is one where a polynomial is set equal to zero. i.e., it is an equation created with variables, non-negative integer exponents, and coefficients together with operations and an equal sign.

A polynomial equation is always like "polynomial = 0". Algebraically, it is of the form p(x) = aₙ xⁿ + aₙ₋₁ xⁿ⁻¹ + ... + a₁ x¹ + a₀x⁰ = 0, where

aₙ, aₙ₋₁, ...., a₁, a₀ are coefficients and all these numbers are real numbers.

'x' is the variable.

p(x) means "polynomial in terms of variable x"

'n' is a non-negative integer, it is the degree of p(x).

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4.5 is the length of each part in feet. This can be solved by using the concept of feet.

foot, plural feet, any of a wide range of ancient, medieval, and modern linear measurements (often 25 to 34 cm) based on the length of the human foot and used only in English-speaking nations, where it typically consists of 12 inches or one-third yard.

The foot measured [tex]11^{\frac{1}{42}[/tex] inches in antiquity. The typical man's foot measures 12 inches in length nowadays.

Given that:

The length of the wooden board is given as = 108 inches.

As it is cut in 2 equal parts, it becomes: 108/2 = 54 inches in each

We have to calculate the length of each part in feet, so divide 54 by 12.

As we know,

12 inches = 1 feet

Thus, 54 inches = 54/12 feet = 4.5 feet

So, the length of each part is 4.5 feet.

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Answer:

pretty sure it would be 30 ft.

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

I found the area by spliting the figure into the triangle, square, and rectangle

triangle = .5(14*5)=35

square = 2*2=4

rectangle = 8*4=32

35+4+32=71

hope this is right:)

Answer:

$2.31

Step-by-step explanation :

$16.17 divided by 7

Using the provided equations, Applying the addition method in the system of equations, The answer is x=-2 and y =-6.

An equation is a statement of equality between two expressions, usually containing one or more variables. Equations can be used to express mathematical relationships and can be solved to find the value of the variables. Equations can take many forms, such as linear equations, quadratic equations, and differential equations. They can also be represented graphically.

The addition method to solve a system of equations is a way to solve a system of two linear equations by adding them together. The goal is to eliminate one variable by adding or subtracting the equations. We can eliminate one variable by adding the equations together. To do this, we'll add the left-hand side of the first equation to the left-hand side of the second equation and add the right-hand side of the first equation to the right-hand side of the second equation. It is important to note that the addition method works only when the coefficients of the variable you want to eliminate are opposite in sign.

4x-5y=22

3x+2y=-18

multiplying first equation with 3 and second equation with 4 and subtracting them , we eliminate x and solve for y,

y=-6

put y=-6 in first equation , we get x,

x=-2

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Answer:

y[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Like radicals are radicals that have the same radical (the number into the square root) and the same radicand (the number above the root)

Here, only the last expression [tex]\sqrt{5}[/tex] can be chosen.

Answer:

4y-100

2(2y-50)

hope this helps

have a good day :)

Step-by-step explanation:

The remainder when 2 is divided by 1000 is 2

Let O be the center of the circle, R be the length of the radius, and let the chord be AB with midpoint M. Let x be the distance from O to M, then the length of the radius OM is R/2 and the length of the chord AB is 2x.

Since the chord is perpendicular to the radius at the midpoint, we know that the radius bisects the chord. Therefore, the two segments MO and MB are congruent and have length x.

The area of the larger region is the area of the sector OMB, which is (1/4) of the area of the circle. The area of the smaller region is the area of the triangle OMA, which is (1/2) of the area of the sector OMA.

The ratio of the larger region to the smaller region is (1/4) : (1/2) = 2 : 1.

So, the area of the larger region is twice the area of the smaller region.

We can see that abcdef = 21111*1 = 2, the remainder when 2 is divided by 1000 is 2. Thus, the answer is \boxed{002}.

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Answer:

b. 1,2,3,4,5,6

bc a dice has 6 sides

Answer:

Step-by-step explanation:

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