When purchasing a car, a buyer will often trade in his current car Sales tax is figured after the amount of the trade-in is deducted from the cost of thenew car. This sales tax can be calculated using a function. If the sales tax is 7% and a trade-in is valued at $2,000, select the function that could be usedto correctly calculate the sales tax as a function of the cost of the car (x)

Given:

You can move the negative anywhere or in front of the fraction.

Answer:

A. and B.

The final step coincides with option 4

Answer:

336/527

Explanation:

If cos θ = -7/25, then we can represent these angle as:

Because -7 is the adjacent side and 25 is the hypotenuse of the triangle.

So, to know what is tan θ, we need to find the value of x. Then, using the Pythagorean theorem, we get that x is equal to:

Now, tan θ is equal to:

Then, there is a trigonometric identity that says that tan 2θ is equal to:

we have

remember that

12=(2)(2)(3)

substitute in the given expression

To convert mixed number to decimal form, simply convert the fraction part to decimal. To convert, divide the numerator by the denominator.

Add the result to the whole number.

Hence, 2 3/4 in decimal form is 2.75 (Option B).

∵ The 27 equal strips made from a 6-yard ribbon

∴ The length of each strip is

Each strip is 6/27 yards

The answer is A

Given:

702 riders in 9 subway cars.

Required:

To write the rate as a unit.

Explanation:

Consider 702 numerator part and 9 in denominator part.

Therefore, the unit rate is

Final Answer:

Unit rate is 78.

Given:

APR = 16.99%

The Annual Percentage Rate is the interest rate charged yearly.

Given that there are 12 months in a year, to find the monthly percentage, divide the APR by 12.

Therefore, we have:

Therefore, the monthly percentage rate to the nearest hundreth of a percent is 1.42%

ANSWER:

1.42%

The formula to find the area of a circle is

So, in this case, you have

Therefore, the area of this circle is 1385.44 square feet.

We will have the following:

First, we simplify:

And:

So, the solution in interval notation is:

Linear graph

As stated in the question, a linear graph must be represented by a straight line.

Curved lines cannot be classified as linear graphs.

From the choices presented, the following are linear graphs:

#1. Is a linear graph, or a horizontal line

#4 is a linear graph, or a slanted line

#2 is non-linear because it's a circle

#3 is non-linear because it's curved

Answer:

Explanation:

The ball is dropped from an initial height of 10 feet.

It loses 10% of its height after every bounce.

• An equation for the height of the ball, y, after x bounces is derived below:

Substitute the values of x=1,2,3 and 4 respectively:

We are to find a polynomial f(x) of degree 4 that has the following zeros.

-5, 9 (multiplicity 2), 0

So,

The degree 4 polynomial of the given zeros is:

But recall, that there is a multiplicity which tells the number of times a factor occurs

So, x = 9 occurred twice.

Therefore, the degree 4 polynomial of the given zeros:

f(x) = x(x + 5)(x - 9)(x - 9)

So in a factored form:

f(x) = x(x + 5)(x - 9)(x - 9)

Given:

Let's write the given expression in standard form.

To write in standard form, since the exponent is positive 2 we are to move the decimal point two places to the right.

Thus, we have the standard form below:

Therefore, the number in standard form is = 254

ANSWER:

Given -

3x + 5y = 14

6x -4y = 9

To Find -

x and y =?

Step-by-Step Explanation -

3x + 5y = 14 .....(1)

6x -4y = 9 ......(2)

Multiply equation (1) with ×2

We get

6x + 10y = 28 ......(3)

Now,

(3) - (2)

6x + 10y - 6x + 4y = 28 - 9

14y = 19

y = 19/14

So, on putting the value of y in eq(1)

We get

3x + 5(19/14) = 14

14(3x) + 95 = 196

42x = 101

x = 101/42

Graph:

The formula for any give rectangle is just that you multiply it's lenght by it's width, or as expressed by the equation;

Since in the picture we are given a side of the rectangle measuring 4 inches, with it's length as unkown, we can only assume that the 4 inches there is the width therefore for a sqaure with an area of 34 square inches, we can express it as;

Therefore the lenght of the rectangle in our question is 8.5 inches.

Given Data:

Using the property of linear pair,

Thus, option (A) is the correct answer.

Given

Transform it into its slope-intercept form, as shown below

Then, the slope of the line is -5/13.

On the other hand, the inclination angle of a line is given by the formula below

Therefore, in our case,

The answer is D. can't be determined

we need more details t

a. The company produces 52 boxes per hour. Then, after 3 hours they produce 52*3 = 156 boxes. If they had 404 boxes after 3 hours, then they started with 404 - 156 = 248 boxes.

Given that they produce 52 boxes per hour, then after h hours, they produce 52h boxes. Therefore, the number of boxes, b, as a function of the number of hours, h, is:

b = 248 + 52h

b. Replacing with h = 8, we get:

b = 248 + 52(8)

b = 248 + 416

b = 664

There will be 664 boxes after an 8-hour shift

Explanation

A unit rate is a rate where the bottom number is 1 (also called a single-unit rate),it can be found using the expression

Step 1

Let

total amount = 3 tablespoons

total elements = 1.5 serving, so replacing

therefore, the answer is

I hope this helps you

The sum of the interior angles of a pentagon is 540°. A pentagon is a polygon with five sides and five vertices.

So, in this case, you have

Now, you can solve for x

Therefore, the angle measures in the polygon are 90°,135°,90°,90°,135°.

ANSWER

EXPLANATION

We want to find the measures of <1 and <3 in the kite given.

The diagonals of a kite bisect each other at right angles.

This implies that:

Since the longer diagonal of the kite bisects the angle [tex]<1=39\degree[/tex]We can solve for <3 using the sum of angles in a triangle:

Simplify and solve for <3:

That is the answer.

In order to find the value of m in this equation, we just need to divide both sides of the equation by 7.

So we have that:

So the value of m that makes the equation true is m = 15.

We have to see which model (quadratic or linear) best represents the data.

We can use software to fit this data set.

Linear model:

Quadratic model:

The quadratic model has a slightly better fit than the linear model.

But the value of R² = 0.176 shows that the fit is very weak, so we can conclude that this is not a good model for the data.

Answer:

Quadratic model, 0.176.

No, 0.176 is a very low R² value.

To plot the line of the inequality , we begin by inserting the values x = 0 and y = 0 one after the other.

Letus now derive two points for the second inequality given just like we did for the first one above;

The graph of both inequalities is now shown below;

Observe carefully that the solution lies in the region shaded BLUE and RED.

One point in this region is (4, 4)

The blue and red graphs are represented by;

Answer:

• Domain: {1,2,3,7,9}

• Range: {1,4,6,7,8}

Explanation:

Given the relation in the table, we are required to find the domain.

Domain

The domain is defined as the set of all the values of x that satisfies the relation.

From the table, the domain is:

Range

The range is defined as the set of all the values of y that satisfies the relation.

From the table, the range is:

To solve this problem, recall that the area of a rectangle is given by the following formula:

Therefore, the area of the stage is:

Converting the mixed number to an improper fraction, you get:

Computing the multiplication you get:

Account A:

Initial Deposit 1000

2.42% for 4 years

Account B:

Initial Deposit 1000

2.42% in 24 months

We have to find the simple interest earned in each account. The formula for simple interest is:

Where

i is the interest earned

P is the initial amount

r is the rate of interest, in decimal

t is the tiem

For account A:

P = 1000

r = 2.42% = 0.0242

t = 4 years

Thus, the interest earned is:

For account B:

P = 1000

r = 0.0242

t = 24 months = 24/12 = 2 years

Thus, the interest earned is:

example:

i = Prt

Since we want an example where interest amount is same in a a year, we know i and t are constant. We just need to figure out two P's and two r's that give the same value.

Suppose the initial deposit is 2000 and the rate of interest is 5%.

Now, suppose intial deposit is 500 and rate of interest is 20%.

They would both equate the same interest in 1 year.