You buy a car for 20,000 dollars and pay 5% in tax. How much is the tax?

Answer:

2

Step-by-step explanation:

2(z)+2 = 4

2z = 2 x 2 = 4

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

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Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

no

Step-by-step explanation:

A circle will fail the vertical line test, which means a vertical lines intersects two or more points.  If it fails the vertical line test, it is not a function  

Answer:

sf and st

Step-by-step explanation:

Answer:

y=9.25

Step-by-step explanation:

5x+2y=20

5(.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=18.5/2

y=9.25

Answer:

It's 200 ml I believe.

Step-by-step explanation:

Answer:

2/18 = 1/9

Step-by-step explanation:

She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.

2/18 = 1/9

Answer:

Step-by-step explanation:

Number less than 2 is 1.

Probability of 1 out of 6 is:

Probability of heads is:

The probability of both is:

Answer:

m+5=7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

To determine if the triangle is right

If the square of the longest side is equal to the sum of the squares on the other 2 sides then it is right.

longest side = 20 and 20² = 400

12² + 16² = 144 + 256 = 400

Thus the triangle is right

We know that,

Volume of sphere = 4/3πr³

41572 = 4/3 × 22/7 × r³

41573 × 21/88 = r³

³√9,920.82 = r

21.48 cm = r

:)

The radius of a sphere with a volume of 41572 cm³ is,

⇒ 21.4 cm

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, To find the radius of a sphere with a volume of 41572 cm³, we can use the formula for the volume of a sphere as;

⇒ V = (4/3)πr³

where V is the volume and r is the radius.

Hence, We can rearrange this formula to solve for r:

⇒ r = ∛ (3V/4π)

Substituting the given volume, we have:

r = ∛ (3(41572)/4π)

r ≈ 21.4 cm

Therefore, the radius of the sphere to the nearest tenth of a centimeter is 21.4 cm.

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Answer:

(5,-3)

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

As you can see, the dot on the line is the starting point and it is open.

An open dot means less than or more than. An closed dot means less than or equal to / more than or equal to.

The line is going right starting from -5, so it is more than 5.

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula.  Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac:  12^2 - 4(12)(9) = 144 - 432 = -288.  The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots.  These roots are:

      -b ± √(discriminant)

n = ---------------------------------

                 2a

Here we have:

      -12 ± √(-288)           -12 ± i√2√144          -12 ± i12√2

n = ----------------------  =  ------------------------ =  --------------------

            2(12)                             24                           24

or:

n = (1/2)(-1 ± i√2)

Answer:

 [tex]option \ C[/tex]  [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{|2a| - b}{3} \ , \ given \ a = \ 7 \ , \ b \ =\ 4\\\\\frac{|2 \times 7| - 4}{3} = \frac{14 - 4}{3} = \frac{10}{3} = 3\frac{1}{3}[/tex]

Answer:

-11 is the answer

Answer:

f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Step-by-step explanation:

First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.

When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.

In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).

Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Answer:

D: (4, 6)

Step-by-step explanation:

undefined slope is when the line is vertical

so we are given a point (4, -1)

the best point that will make the slope undefined is D because it will make a vertical slope

The length of each side of the square is (3x-2) units

The dimensions of the rectangle are (5x + 4y) and (5x -4y) units

From the question, we are to factor out the given expression for the area of the square

The expression is

9x² − 12x + 4

Factoring

9x² − 12x + 4

9x² −6x -6x + 4

3x(3x -2) -2(3x-2)

(3x -2)(3x -2)

Hence, the length of each side of the square is (3x-2) units

Part B:

The given expression is

25x² − 16y²

Factoring

25x² − 16y²

By difference of two squares, we get

(5x + 4y)(5x -4y)

Hence, the dimensions of the rectangle are (5x + 4y) and (5x -4y) units

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Answer:â

Step-by-step explanation:

f(x)+g(x)=3x^2-14-12x+4=3x^2-12x-10

Answer:

12

Step-by-step explanation:

The expression 3c + 24 represents the amount of cookies you sell and the expression 5c represents the amount of cookies your sister sells. If we want to find when they become equal, we must set them equal to each other:

3c + 24 = 5c

24 = 2c

12 = c

Therefore, the answer is 12.

Answer:

Step-by-step explanation: