Identify the parent function for the function g (x) = x + 4 based on its function rule. Then graph g and identify the transformation of the parent function that it represents.Linear; translation up 4 unitsConstant; translation up 4 unitsLinear; translation down 4 unitsConstant; translation down 4 units

Answer

he trapeziunm is an isosceles trapezoid since there are pairs of congruent base angles ADC and BCD

Lines AB and DC are the bases'

To proof that

WDraw perpendicular line segments from A to P and from B to Q which are perpendicular to line DC

∠APD =∠BQC (Right angle)

That is ∠D ≅ ∠C

Now the perpendiculars AP and BQ are congruent

By AAS Property, triangles APD and BQC are congruent and this implies that the hypotenuses AD and BC are congruent.

Therefore the legs AD and BC are congruent.

We can see that the same input is mapped into two different outputs, so this is not a function.

A relation maps elements called inputs into another elements called outputs.

Such that a relation is a function if each input is mapped into only one output.

The notation used is (input, output).

So, here we can see the points:

(4, 12) and (4, 15).

The input 4 is being mapped into two different outputs, thus, this is not a function.

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Given:

The equation of the graph is x + y = 500.

The objective is to change the equation as inequality and to choose the correct region for shading.

Explanation:

As the equation is given as x + y = 500, the sum of the values of x and y lies within the 500. As its total sum is also equal to 500, the graph must lie with in the maximum range of 500 that is at A along with solid line. (If sum is not equal to 500, the graph will contain dotted line).

Representation of inequality:

The given equation can be represented in the form of inequality as,

Graph:

Then, the graph of the inequality will be,

Hence, the inequality is x + y ≤ 500 and the graph contains solid line with shaded region in A.

No. there is not a fixed number of trials. The correct option is B.

A variable with only two outcomes is said to be binary. Examples of binary categorical variables are sex (male/female) and having a tattoo (yes/no).

Each trial must be independent, meaning that it must have a defined number of trials and a constant success rate. Its probability needs to range from 0 to 1.

There are only two conceivable outcomes for each individual. They are either filtered or they are not. We are not interested in learning how many people were screened, though.

It is an inverse binomial, we want to know how many persons will be screened before 10, which is a binomial. Therefore, since there are an arbitrary number of trials, this is not a binomial equation, and option B provides the solution.

Therefore, there is not a fixed number of trials. The correct option is B.

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The value of the given expression in simplest form is  34/63.

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

Example: 2(1/7), where 2 is a whole number and 1/7 is a fraction.

To convert 2(1/7) into improper fraction , we will multiply 7 and 2 and then add 1 to it to get the numerator part and 7 will be the denominator of the fraction that is 15/7.

Given expression:

4(6/7) ÷ 9

We have to find the value of the given expression in simplest form.

We can write the mixed fraction 4(6/7) as 34/7

(34/7)  ÷ 9

(34/7)*(1/9) = (34*1)/(7*9) = 34/63

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The conditions for which it is possible to construct triangles are:

So, the condition for which it is possible to construct a triangle:

(A) 60°, 80°, and 80°:

(B) 4cm, 5cm, and 6cm:

(C) 4 cm, 5 cm, and 15 cm:

(D) 4cm, 5 cm, and 50°:

(E) 30°, 60°, and 3 cm:

Therefore, the conditions for which it is possible to construct triangles are:

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Answer: 68/5

Hope this helps! :)

Although part of your question is missing, you might be referring to this full question: Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices:

f(x) = 50^x

f(x) = 100^x

f(x) = 2(25)^x

f(x) = 4(25)^x

The equivalent function too expression is f(x)= 2(25)ˣ. Thus option c is correct.

The expression of function f(x) given, f(x)=2(5)²ˣ.

Functions are said to be equal if they have same domain or codomain such that f(x) = g(x). Thus, the two functions are equal functions.  

∴ The function after solving expression is,

f(x)= 2×(5²)ˣ

f(x)= 2×(25)ˣ

Hence, the correct equivalent function is f(x)= 2(25)ˣ.

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Answer:

Step-by-step explanation:

[tex]m^{a}[/tex] × [tex]m^{b}[/tex] = [tex]m^{a+b}[/tex]

[tex](m^{a}) ^{b}[/tex] = [tex]m^{ab}[/tex]

By using trigonometric formulas and integration rules, we conclude that the integral is approximately equal to - 7.764 units.

In this problem we must determine the solution to a definite integral of trigonometric equations, which requires the use of trigonometric formula and integration rules to be found. The integral can be simplified by using the following formulas:

sin⁴ x = (1 / 8) · (3 - 4 · cos 2x + cos 4x)

sin² x = (1 /2) · (1 - cos 2x)

Then, the integral is simplified into this form:

[tex]I = \pi \int \limits_{\frac {\pi}{6}}^{\frac{3\pi}{4}} \sin^{4} x \,dx + 4\pi \int \limits_{\frac {\pi}{6}}^{\frac{3\pi}{4}} \sin^{2} x \,dx[/tex]

[tex]I = \frac{\pi}{8} \int \limits_{\frac {\pi}{6}}^{\frac{3\pi}{4}} (3 - 4\cdot \cos 2x + \cos 4x) \,dx + 4\pi \int \limits_{\frac {\pi}{6}}^{\frac{3\pi}{4}} (1 - \cos 2x) \,dx[/tex]

[tex]I = \frac{3\pi}{8}\cdot x - \frac{\pi}{4} \cdot \sin 2x + \frac {\pi}{32}\cdot \sin 4x - 4\pi \cdot x - 2\pi\cdot \sin 2x[/tex], for x ∈ [π / 6, 3π / 4]

And the definite integral is:

I = 2.159 + 1.466 - 0.085 - 23.028 + 11.724

I = - 7.764

The definite integral of f(x) = sin⁴ x + 4 · sin² x for x ∈ [π / 6, 3π / 4] is approximately equal to - 7.764.

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Based on the numbers that are all less than 496 and yet divide evenly into 496, the sum is 496

The numbers that are less than 496 and yet are able to divide evenly into it are known as the factors of 496. These numbers will not leave a reminder when they divide 496.

The factors of 496 include:

1, 2, 4, 8, 16, 31, 62, 124, 248, 496.

The sum of these numbers that are less than 496 is:

= 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248

= 496

In conclusion, the sum of all the numbers less than 496 that are able to divide it evenly is 496.

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Answer:  [tex]-4 < m \le -3[/tex]

=========================================================

Reason:

If m = -4, then f(x) = m becomes f(x) = -4. This yields the single solution x = -4

How do we get this solution? Start at -4 on the y axis. Move horizontally until reaching the curve. You should arrive at (-4,-4) which is the lowest point of this curve. Then move upward until reaching the x axis to arrive at x = -4

All of this says that the input x = -4 leads to the output y = f(x) = -4

---------------

We've gone over m = -4 leading to one solution, so that's out of the question since we want two solutions.

But if m = -3 for instance, then notice how tracing a horizontal line to the curve arrives at two locations instead of one. We arrive at x = -2 and x = -5 as the solutions to f(x) = -3

All of these solutions mentioned are negative which fits the criteria we're after. If m is in the interval from -4 to -3, excluding -4 but including -3, then we'll have f(x) = m with two negative solutions for x.

The correct options are (A) and (B).

Because

14) y = 6x + 1

( 2, y)

if x = 2 as stated in the coordinate, then y = 6(2) + 1 = 12 + 1 = 13

y =13

The ordered

The equation of the line in point slope form that passes through (1,5) and slope = -3 , is  y = -3x+6 .

The equation of line in point slope form passing through the points (x₁,y₁) and slope =m is given by the formula

(y-y₁)=m(x-x₁)

In the question ,

it is given that

the line passes through the point (1,5) and has a slope m = -3.

so the values become x₁=1 and y₁=5 and m = -3

Substituting the values in the formula for equation of line , we get

(y-5)=(-3)(x-1)

y-5= -3x + 1

y = -3x + 1 + 5

y = -3x+6

Therefore , the equation of the line in point slope form that passes through (1,5) and slope = -3 , is  y = -3x+6 .

The given question is incomplete , the complete question is

Write the equation of the line in point-slope form that passes through the point (1,5) with slope = -3.

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Answer: The correct answer is 62.5% and not 67.5 %

Step-by-step explanation: Yes you do 5 divided by 8 and then you move the decimal point two places to the right.

Hope this helped!!!!

To answer this question we need to remember that:

then:

There's only one angle that gives this result that it is real. Therefore the answer is 112.62

Answer:

The answer is 17/52. Explanation: The number of diamond cards is 13, and the number of '6' cards is 4 Picking one diamond out of 13 is 13C1

Step-by-step explanation:

Answer:

A. y = 8x

Step-by-step explanation:

y = 8x

From first term

32 = 8(4)

32=32

Correct

the price of the ticket which Disney on ice would make no money at all is:

and here, are two posible solutions:

for the first one 1)

for the second one 2)

and in this problem the realistic answer is the first one, so the solution is $8 dollars

Answer:

if x=0than 3×0×(6×0)_< 9

When three of these twelve aircraft are selected at random, the probability that all three of them will be F/A-18E's is 0.018.

Based on the information given, there are are 12 F/A-18 aircraft, where: 3 are F/A-18A's 4 are F/A-18E's 5 are F/A-18F's. The total number of aircraft will be 12.

When three of these twelve aircraft are selected at random, so that every possible selection is equally likely, the probability that all three of them will be F/A-18E's will be:

= 4/12 × 3/11 × 2/10

It should be noted that this is without replacement that's why we have 10, 11 and 12 as the denominator.

= 4/12 × 3/11 × 2/10

= 1/3 × 3/11 × 1/5

= 3 /165

= 0.018

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Answer:

Acute

Step-by-step explanation:

Obtuse angles are angles that are larger than 90 but less than 180

Acute angles are angles that are less than 90 degrees

Right angles are angles that is exactly 90 degrees

Complementary angles are two angles whose sum is 90 degrees

Using this info, it seems the answer to this question is B. Acute because it says "the values returned by inverse to angles larger than 90" and since acute is the opposite of obtuse imma say B but im not too sure

1. The scenario represents a payout annuity.

2. Marcy can withdraw $1,833.60 per quarter until after 3 years when the inheritance will be exhausted.

A periodic withdrawal is the opposite of a periodic payment.

In a periodic withdrawal, the investor withdraws a constant amount from the investment that earns interest until it is exhausted.

A periodic withdrawal is the same as a payout annuity, which involves periodic receipts from the invested capital.

Using an online finance calculator, we can compute the quarterly withdrawals as follows:

N (# of periods) = 12 quarters (3 x 4)

I/Y (Interest per year) = 6%

PV (Present Value) = $20,000

FV (Future Value) = $0

Results:

Withdrawals = $-1,833.60

Sum of all periodic payments = $-22,003.20

Total Interest $2,003.20

Thus, in this payout annuity, Marcy can withdraw $1,833.60 quarterly for 3 years.

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An equation of the line that passes the through point (0, 9) and has slope m = [tex]\frac{2}{3}[/tex] is 3y-2x-27=0

What is point-slop equation of a line?

The point-slope equation of a line is

                      y - [tex]y_{1}[/tex] = m ( x  -[tex]x_{1}[/tex] )

The equation is useful when we know:

and want to find other points on the line.

Given that,

slope , m =  [tex]\frac{2}{3}[/tex]  and passing through the point is (0,9)

An equation of a line given the slope and a point is

             y - [tex]y_{1}[/tex] = m ( x  -[tex]x_{1}[/tex] )

or          y - 9 =  [tex]\frac{2}{3}[/tex] (x - 0)

or          y - 9 =  [tex]\frac{2}{3}[/tex] x

or          y =  [tex]\frac{2}{3}[/tex] x + 9

or          y = [tex]\frac{2x + 27}{3}[/tex]

or          3y = 2x + 27

or         3y - 2x - 27 = 0

Hence, an equation of the line that passes the through point (0, 9) and has slope m = [tex]\frac{2}{3}[/tex] is 3y-2x-27=0

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47 had a finished basement with 0 three-car garage .

Thinking and cognition are related to reasoning, which requires using one's intellect. The study of logic focuses on how people can construct logically sound arguments using formal reasoning. Deductive, inductive, and abductive reasoning are three examples of logical reasoning that can be used to further break down reasoning. Aristotle distinguished between logical discursive reasoning (reason proper) and intuitive reasoning, noting that the former may lean toward the subjective and the personal, despite being correct. While logical and intuitive styles of reasoning might clash in certain social and political circumstances, in others they are considered as complimentary rather than competitive.

all the values are given that how many houses had a finished basement with no 3-car garage.

the no. of houses are = 47 .

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Answer:

  an = 7 -3(n -1)

Step-by-step explanation:

You want the formula for the n-th term of the arithmetic sequence 7, 4, 1, -2, ....

An arithmetic sequence has a first term (a1) and a common difference (d) found by subtracting the previous term from the current term.

In the given sequence, the first term is a1=7, and the common difference is d=(a2 -a1) = 4 -7 = -3.

The n-th term of the given arithmetic sequence is ...

  [tex]a_n=a_1+d(n-1)\\\\\boxed{a_n=7-3(n-1)}[/tex]

__

Additional comment

The formula can be simplified to ...

  an = 10 -3n

Answer:

Quadrant IV .

Step-by-step explanation:

I hope it will be helpful for you.

The equation that represent the data in the table shown is y = -2x + 3.

Linear systems are sets of equations associated with each other and that have two or more variables. In linear systems, only linear equations are entered, that is, expressions where the greatest exponent of the unknowns is equal to 1.

A linear equation is in the form:

y = mx + b

Where:

From the table, using the point (0, 3) and (1, 1):

y - 3 = [(1 - 3)/(1 - 0)](x - 0)

y - 3 = -2xy = -2x + 3

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