.

a. How much tax is paid?

b. What is the car's total cost?

Answer:

Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:

Compute the area of the region D bounded by xy=1, xy=16, xy2=1, xy2=36 in the first quadrant of the xy-plane. Using the non-linear change of variables u=xy and v=xy2, find x and y as functions of u and v.x=x(u,v)= ?y=y(u,v)=?Find the determinant of the Jacobian for this change of variables.∣∣∣∂(x,y)/∂(u,v)∣∣∣=det=?Using the change of variables, set up a double integral for calculating the area of the region D.∫∫Ddxdy=?Evaluate the double integral and compute the area of the region D.Area =

The segments shown below could form a triangle.A. TrueB. False

Complete the steps to factor the polynomial by grouping. P(x) = x3 + 5x2 – x – 5 P(x) = x2 (x + ) – (x + 5) P(x) = (x2 – )(x + 5) P(x) = (x – )(x + 1)(x + )

* You see a pair of jeans on sale for 10% off the regular price of $50. You have a credit card with a 1396 interest rate. If you buy the jeans today with the credit card and pay them off after two months, are you paying more or less than the regular $50 price for them? Please explain your decision and SHOW your calculations.

the average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2 . three scores extracted from the test are 148,102,152. What is the average of the extracted scores that are extreme values.

The segments shown below could form a triangle.A. TrueB. False

Complete the steps to factor the polynomial by grouping. P(x) = x3 + 5x2 – x – 5 P(x) = x2 (x + ) – (x + 5) P(x) = (x2 – )(x + 5) P(x) = (x – )(x + 1)(x + )

* You see a pair of jeans on sale for 10% off the regular price of $50. You have a credit card with a 1396 interest rate. If you buy the jeans today with the credit card and pay them off after two months, are you paying more or less than the regular $50 price for them? Please explain your decision and SHOW your calculations.

the average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2 . three scores extracted from the test are 148,102,152. What is the average of the extracted scores that are extreme values.

**Answer:**

the answer is 6

**Step-by-step explanation:**

**Answer:**

6

**Step-by-step explanation:**

Hope this helps!!!!!!

the team won 24 games out of 30

If I'm reading the question right, you have

and you have to find

The limits exist if the limits from either side exist. We have

and

The function f(x) is a piecewise function. The limit as x approaches 5 equals 2 and the limit as x approaches 6 does not exist as the values from both sides are not the same.

The function f(x) given is a piecewise function which is defined differently on different intervals of x.

First let's graph these three conditions:

- For x < 5, f(x) = x - 3. It is a straight line that crosses the Y-axis at -3.
- For 5 ≤ x ≤ 6, f(x) = 2. It is a horizontal line along the height of 2 from x=5 to x=6.
- For x > 6, f(x) = x + 4. It is a straight line that crosses the Y-axis at 4.

Next, we'll find the specified limits:

**limx→5 f(x)**: As x approaches 5, we will look at values from both sides. From the left (x < 5), it would be 5 - 3 = 2. From the right (5 ≤ x ≤ 6), f(x) = 2. The value is the same from both sides, so the limit as x approaches 5 equals 2.**limx→6 f(x)**: As x approaches 6, from the left (5 ≤ x ≤ 6), f(x) = 2. From the right (x > 6), it would be 6 + 4 = 10. The values are not the same from both sides, so the limit as x approaches 6 does not exist.

#SPJ11

B. y = x2 − 5 y = −x − 1

C. y = x2 + 5 y = −x + 1

D. y = x2 + 5 y = −x − 1

**Answer:**

**Option (A)**

**Step-by-step explanation:**

For equation of the line,

Let the equation is, y = mx + b

Slope 'm' of the line passing through two points (-3, 4) and (2, -1),

m =

=

= -1

y-intercept of this line, b = 1

Now we substitute these values in the equation,

**y = -x + 1**

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the parabola,

Since vertex of the given parabola is (0, -5),

then the equation will be,

y = a(x - 0)²- 5

y = ax² - 5

Since a point (2, -1) lies on this parabola,

-1 = a(2)² - 5

5 - 1 = 4a

a = 1

Equation of the parabola will be,

**y = x² - 5**

**Therefore, Option (A) will be the answer.**

**Answer:**

$2.50

**Step-by-step explanation:**

$30 divided by 12 = 2.5

Each bagel is $2.5

Yoshi needs to find the **inverse** of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.

In mathematics, an inverse **function** is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.

To find the inverse of a function, the first step is to **switch** the x and y variables. In this case, the function is f(x) = 5x - 2.

To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.

It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique **output**) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.

Learn more about **Inverse** here:

#SPJ2

**Answer:**

D. Replace f(x) with y

**Step-by-step explanation:**

apex