What are the slope and the y-intercept of the linear function that is represented by the equation y=9x-2?

1.)The slope is –2, and the y-intercept is 9.
2.)The slope is 2, and they y-intercept is 9.
3.)The slope is 9, and the y-intercept is –2.
4.)The slope is 9, and the y-intercept is 2.

Answer:

m∠J = 100° is the answer.

Step-by-step explanation:

Given : ΔABC ≅ ΔJKL,

            m∠B = 55°

            m∠L = 25°

To find : ∠J

Since in both the triangles ABC and JKL

m∠A ≅ m∠J

m∠B ≅ m∠K = 55°

m∠C ≅ m∠L = 25°

Since measure of ∠K and ∠L are known then we can calculate the third angle j

m∠J + m∠K + m∠L = 180°

55° + 25° + m∠J = 180°

80° + m∠J = 180°

m∠J = 180 - 80

        = 100°

Therefore, m∠J = 100° is the answer.

A rational function with the required characteristics is f(x) = 8(x + 6)(x - 5) / (x + 4)(x - 4), considering vertical asymptotes, x-intercepts, and a horizontal asymptote.

To write an equation for a rational function with given characteristics, we need to incorporate the vertical asymptotes, x-intercepts, and horizontal asymptote into our function.

Firstly, vertical asymptotes at x = -4 and x = 4 suggest that the denominator of our function will be in the form (x + 4)(x - 4), as setting x to -4 or 4 will make the denominator zero, which creates the asymptotes.

Secondly, x-intercepts at x = -6 and x = 5 indicate that the numerator will have factors that become zero at these x-values. Hence, the numerator should be(x + 6)(x - 5).

Finally, for the function to have a horizontal asymptote at y = 8, the degree of the numerator and denominator must be the same, and the leading coefficients of the numerator and denominator must have a ratio that equals 8. To achieve the horizontal asymptote, we multiply the numerator by 8, thus the leading coefficients of the numerator and denominator are in the ratio 8:1.

Combining all these elements gives us our rational function: f(x) = 8(x + 6)(x - 5) / (x + 4)(x - 4)

subtract the cost of the shirt from the amount she gave the cashier

20.00 - 14.98 = 5.02

 using subtraction she would get $5.02 back in change

Answer:

Neither is the answer.

Step-by-step explanation:

If a line y = m₁x + c₁ and y = m₂x + c₂ are perpendicular to each other then m₁ × m₂ = -1

If both the lines are parallel to each other then m₁ = m₂

Now two lines have been given as

y = 4x - 1 ----------(1)

12x = 3y + 7

3y = -12x + 7

y = -4x + [tex]\frac{7}{3}[/tex]------(2)

Now from equation (1) and equation (2),

m₁ = 4 and m₂ = -4

Since m₁ ≠ m₂

Therefore, these lines are not parallel

m₁ × m₂ = 4 × (-4) = -16

Therefore, both the lines are neither parallel nor perpendicular.

Kristaps Porzingis was born on August 2, 1995. As of the knowledge cutoff in 2023, he is 27 years old. For the latest information, current sources should be consulted as his age changes annually.

The age of Kristaps Porzingis, a professional basketball player, can be determined by knowing his date of birth. Kristaps Porzingis was born on August 2, 1995. As of the knowledge cutoff in 2023, he would be 27 years old. It is always advised to check current sources for the most up-to-date information as the age of a living person changes every year.

As of my last knowledge update in January 2022, Kristaps Porzingis was born on August 2, 1995. To determine his current age, you can subtract his birth year from the current year. However, please note that I do not have real-time information, and his age might have changed since my last update. I recommend checking the latest sources, such as news articles, the official NBA website, or Porzingis' official social media accounts, for the most up-to-date information on his age.

Answer:

yes, it will always be a polynomial but depending on how many terms it has, the answer may change

Step-by-step explanat

The sum of the interior angles of the polygon is 1440° and the number of sides of the polygon is 10 sides

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the interior angles of the polygon be S

Now , the number of sides = n

The sum of the exterior angles of a polygon = 360°

And , each interior angle measure is four times the measure of each exterior angle

Substituting the values in the equation , we get

180 ( n - 2 ) = 4 ( 360 )

On simplifying the equation , we get

180n - 360 = 1440

Adding 360 on both sides of the equation , we get

180n = 1800

Divide by 180 on both sides of the equation , we get

n = 10 sides

Hence , the number of sides of the polygon is 10 and it is a decagon

To learn more about sum of the interior angles of a polygon click :

https://brainly.com/question/14611583

#SPJ6

Answer:  The required expression is [tex]x^2-5x+4.[/tex]

Step-by-step explanation:  We are given that

[tex]p(x)=x^2-1,\\\\q(x)=5(x-1).[/tex]

We are to find the expression that is equivalent to (p-q)(x).

We know that for any two functions f(x) and g(x), we have

[tex](f-g)(x)=f(x)-g(x).[/tex]

Therefore we get

[tex](p-q)(x)\\\\=p(x)-q(x)\\\\=(x^2-1)-(5(x-1))\\\\=x^2-1-5x+5\\\\=x^2-5x+4.[/tex]

Thus, the required expression is [tex]x^2-5x+4.[/tex]

Final answer:

The first airplane travels at 110 miles per hour, and the second airplane travels at 135 miles per hour.

Explanation:

The question deals with two airplanes leaving Chicago's Midway Airport at the same time and heading in opposite directions.

One travels at a speed that is 25 miles per hour faster than the other.

After 2 hours, they are 490 miles apart, and we need to find the speed of each airplane.

Let's define the speed of the slower airplane as x miles per hour.

Then, the faster airplane's speed would be x + 25 miles per hour.

Since they are traveling in opposite directions for 2 hours, we can set up the equation:

2x + 2(x + 25) = 490

Solving for x will give us the speed of the slower airplane, and x + 25 will give us the speed of the faster airplane.

2x + 2x + 50 = 490
4x + 50 = 490
4x = 440
x = 110

Thus, the speed of the slower airplane is 110 mph, and the faster airplane is 135 mph (110 mph + 25 mph).

Answer:

was this right

Step-by-step explanation:

Answer:

u have a solid line...means there is an equal sign in the problem...so that eliminates 2 of them right away...so A and D are incorrectit is shaded below the line....this means it is less then...that eliminates option C leaving u with only one answer choiceso ur answer is : B. y is less then or equal to x

Step-by-step explanation: