Which statements are true about the linear inequality y > x – 2? Check all that apply.
The slope of the line is –2.
The graph of y > x – 2 is a dashed line.
The area below the line is shaded.
One solution to the inequality is (0, 0).
The graph intercepts the y-axis at (0, –2).

Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

For time efficiency and to get a more precise solution.

There are two reasons.

1) In a graphing calculator you only need to input the functions and that's all, it will graph the functions for you, so it needs a lot less time than graphing by hand.

2) When you graph by hand, there is a limit in how much of an exact solution you can get (and there may be a mistake if the line is to thick or something like that). While in a graphing calculator you can find the exact point where the graphs intersect, so you will get a more precise solution with a graphing calculator.

These are the two reasons why using a graphing calculator may be better than graphing by hand.

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this is the anwser to your problem

(2y+5)(x-6)

The experimental probability that the next member surveyed will sign up for tennis is 0.3, based on the current data where 9 out of 30 members have signed up.

The question is asking for the experimental probability that the next member surveyed at the country club will sign up for tennis based on a survey of 30 members where 9 had already signed up for tennis.

To calculate the experimental probability, you divide the number of members who have signed up for tennis by the total number of members surveyed. So, the calculation would be:

The experimental probability is then calculated as 9/30, which simplifies to 0.3. Therefore, the correct answer is:

A. 0.3

Final answer:

The corresponding angles theorem states angles in matching corners are equal when two parallel lines are intersected by a transversal. To prove this, use properties of parallel lines and transversals, and various established theorems. Euclidean postulates are employed, rather than the Pythagorean theorem or trigonometry.

Explanation:

To prove the corresponding angles theorem, one must understand that when two parallel lines are intersected by a transversal, the angles in matching corners are equal. These are called corresponding angles. For instance, suppose you have two parallel lines L1 and L2, and a transversal T that intersects them at points A and B respectively. The angle ∠PAB on line L1 would correspond to angle ∠QBA on line L2, and they would be equal.

To provide a mathematical proof, one would typically use properties of parallel lines and transversals, or other established theorems such as the alternate interior angles theorem or the exterior angle theorem. By proving all these other angles are equal due to their relationships with each other (alternate interior, consecutive interior, alternate exterior angles, etc.), one can by default establish that corresponding angles must also be equal.

Proof of this theorem often involves constructing supplementary and congruent angles and using the postulates of Euclidean geometry. The Pythagorean theorem and trigonometry need not be involved in this proof unless one is working with right triangles formed by the transversal and the parallel lines, or if dealing with more complex geometric problems.

Answer:

the next term is -1

Step-by-step explanation:

A sequence is defined recursively by the formula

[tex]f(n + 1) = f(n) + 3[/tex]

The first term of the sequence is –4.

When n=1 then f(1)=-4

Now we find out the next term

We need to find f(2)

To find f(2) plug in 1 for n in the recursive formula

[tex]f(n + 1) = f(n) + 3[/tex]

[tex]f(1 + 1) = f(1) + 3[/tex]

f(1) is -4

[tex]f(1 + 1) = -4 + 3[/tex]

[tex]f(12) =-1[/tex]

So the next term is -1

Answer:

b. -1

Step-by-step explanation:

The  formula which can be used to describe the sequence is:

                [tex]f(x+1)=2f(x)[/tex]

The sequence is given by:

         [tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]

The terms of the sequence could also be written as:

[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]

This means that the first term of the sequence is:

[tex]f(1)=\dfrac{-8}{3}[/tex]

The second term of the sequence is:

[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]

[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]

and so on.

                 Hence, the formula is given by:

           [tex]f(x+1)=2f(x)[/tex]

The scientific form of the number 52 thousand is 5.2×10⁴.

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number 52 thousand in standard form which is, 52000.

Now, The base would be 5 and the rest part would be in decimals raised to an appropriate exponent which is,

= 5.2×10⁴.   (as we have moved the decimal 4 places left)

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Descriptive statistics is a one type of statistics which involve generalization of conclusions from small selected samples.

Inferential statistic is atype of statistic which involve summarization of data in numerical form.

Answer:

Degree would be 5 and leading coefficient is -7

Step-by-step explanation:

To identify the leading look for the number with the biggest power. The degree is the power and the leading is the main number.

Yes, the function f(x) = 4 - 7x^5 is a polynomial function with a degree of 5 and a leading coefficient of -7.

Yes, the function f(x) = 4 - 7x5 is a polynomial function.

A polynomial function is a function where the variable (x) is raised to a non-negative integer power and multiplied by coefficients. In this case, x is raised to the power of 5 which is a non-negative integer.

The degree of a polynomial function is the highest power of the variable. In this case, the degree of the function is 5.

The leading coefficient is the coefficient of the term with the highest power of the variable. In this case, the leading coefficient is -7.

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Answer:

the answer is 130 year.

Step-by-step explanation:

Answer:

I can verify that this answer is correct!

Answer:

Step-by-step explanation:

Alright, lets get started.

Given that:

[tex]\frac{x+4}{4+x}[/tex]

Using commutative property, 4+x = x+4,

so

[tex]\frac{x+4}{x+4}[/tex]

Both numerator and denominator has same value, hence they could be cancelled.

So,

[tex]\frac{x+4}{x+4} = 1[/tex]

Hence the answer is 1 :   Answer  

Hope it will help :)

Answer:

c

Step-by-step explanation:

the answer is 1