Suppose that the local sales tax rate is 5 %and you purchase a car for $ 27,400
.
a. How much tax is​ paid?
b. What is the​ car's total​ cost?

Answers

Answer 1
Answer:

Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:


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What is the result of 72 divided by 12? 6 8 9 12

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps!!!!!!

One basketball team played 30 games throughout their entire season. If this team won 80% of those games, how many games did they win? Enter a numerical answer only.

Answers

the team won 24 games out of 30

Graph the following function and then find the specified limits. When necessary, state that the limit does not exist.f(x)equals=left brace Start 3 By 2 Matrix 1st Row 1st Column x minus 3 2nd Column if x less than 5 2nd Row 1st Column 2 2nd Column if 5 less than or equals x less than or equals 6 3rd Row 1st Column x plus 4 2nd Column if x greater than 6 EndMatrixx−3 if x<52 if 5≤x≤6x+4 if x>6;findModifyingBelow lim With x right arrow 5limx→5 f(x)andModifyingBelow lim With x right arrow 6limx→6 f(x)

Answers

If I'm reading the question right, you have

f(x)=\begin{cases}x-3&\text{for }x<5\n2&\text{for }5\le x\le6\nx+4&\text{for }x>6\end{cases}

and you have to find

\displaystyle\lim_(x\to5)f(x)\text{ and }\lim_(x\to6)f(x)

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

\displaystyle\lim_(x\to5^-)f(x)=\lim_(x\to5)(x-3)=2

\displaystyle\lim_(x\to5^+)f(x)=\lim_(x\to5)2=2

\implies\displaystyle\lim_(x\to5)f(x)=2

and

\displaystyle\lim_(x\to6^-)f(x)=\lim_(x\to6)2=2

\displaystyle\lim_(x\to6^+)f(x)=\lim_(x\to6)(x+4)=10

\implies\displaystyle\lim_(x\to6)f(x)\text{ does not exist}

Final answer:

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.

Explanation:

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.

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PLEASE ANSWER!!!!!!!! Which system of equations does this graph represent? Linear graph and parabola. They intersect at 2, negative 1 and negative 3, 4 (1 point) A. y = x2 − 5 y = −x + 1
B. y = x2 − 5 y = −x − 1
C. y = x2 + 5 y = −x + 1
D. y = x2 + 5 y = −x − 1

Answers

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 = (y_2-y_1)/(x_2-x_1)

   = (4+1)/(-3-2)

   = -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.

Adam bought 12 bagels. It cost him $30. How much does each bagel cost

Answers

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. What is the first step?

Answers

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.

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Answer:

D. Replace f(x) with y

Step-by-step explanation:

apex