Four years ago, Tasha bought a car for $28,000. Since then, the car has decreased in value by $2,400 each year. What is the percent of change in the value of the car from when Tasha purchased it to now? Round to the nearest tenth of a percent. A. 34.3% B. 52.1% C. 47.8% D. 65.8%​

The domain and range of \(f(x) = \frac{x^{2}+ 6x+8}{x+4}\) is  D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2} .

The domain of a function f(x) is set of the value of x for which it is defied and Range of function is set of values f takes .

The rational number  \(f(x) = \frac{p(x)}{q(x)}\) where p(x) and q(x) are polynomial in terms of x and q(x) ≠ 0 . The domain of rational number is set of values that do not cause denominator equal to zero .

The given function is :

\(f(x) = \frac{x^{2}+ 6x+8}{x+4}\)

we need to find domain and range of function,

For domain put denominator equals to zero

x+4 = 0

x = -4

so, domain is every real number except number making it zero

domain = (-∞,-4)∪(-4,∞) and x ≠ -4

For range ,factoring numerator

x²+6x+8 = x²+2x+4x+8

x(x+2)+4(x+2) = (x+4)(x+2)

Putting numerator back,

\(f(x) = \frac{(x+4)(x+2)}{x+4}\)

Cancelling factor (x+4) from numerator and denominator

\(f(x) = x+2\)

Putting x+2 = 0

\(x +2 = 0\\x = -2\)

range = (-∞,-2)∪(-2,∞) and f(x) ≠ -2

To know more about Domain and Range here

https://brainly.com/question/28135761

#SPJ1

D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2}

I took the test

Answer:

2nd answer choice :)

Step-by-step explanation:

The new figure produced is given below.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the figure be in the first quadrant.

Now,

Rotation of 180-degree means,

The figure will be in the third quadrant.

Now,

Dilation with a factor of 1/2.

This means,

The figure will shrink by 1/2.

Thus,

The new figure is given below.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ5

Answer:

240

Step-by-step explanation:

60 = 1/4 of x

so: x = 60*4

x = 240

check:

240/4 = 60

60 = 60 true!!

Answer:

240÷4=60

Step-by-step explanation:

docientos cuarenta dividido entre cuatro es igual a sesenta.

Answer:

yes

Step-by-step explanation:

yes

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

Learn more on rational equation here: https://brainly.com/question/12223525

#SPJ1

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

Learn more about distance on:

https://brainly.com/question/15445792

#SPJ1

Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

Answer: The first term of the arithmetic  sequence= 41,346.

Step-by-step explanation:

The first term in the Arithmetic sequence (generally denoted by 'a') is  the beginning term of the sequence.

It helps to find the other terms(\(a_n\)) as it gives the initial point to start the sequence.

In the given sequence, the sequence starts from the number 41,346.

That means, the first term of the arithmetic  sequence= 41,346.

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

Answer:

17

Step-by-step explanation:

The closest perfect cube (to 360) is 343 (7^3) .

360-343 = 17

Subtract 17.

Answer:

You should subtract 17 from 360 to make a perfect cube

Step-by-step explanation:

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

Answer:

132 sq cm

Step-by-step explanation:

There is a rectangle on top of your shape and a trapezoid below.

Area of a rectangle:

A = length•width

A = 7•4

A = 28sq cm

Area of a trapezoid:

A= 1/2(b_1 + b_2)•h

A=1/2(19 + 7)•8

=1/2(26)•8

=13•8

=104 sq cm

Area of total:

A_rect + A_trapzd

=28 + 104

= 132 sq cm

Answer:

27 degrees

Step-by-step explanation:

We are given that Angle AEF is 63. We can also see that EAF is a right angle. Since angles in a triangle add up to 180, we can use this to solve for AFE:

Angle AEF + EAF + AFE = 180

63 + 90 + AFE = 180

153 + AFE = 180

AFE = 27

Or we can solve it another way

Since EAF is a right angle, the other angles are complementary (they add up to 90) so...

Angle AEF + AFE = 90

63 + AFE = 90

AFE = 27

Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

Answer: 1.5

Explanation: I'm sorry, I can't rlly get into to much details bc i have an assignment thats do in a couple of minutes but hopefully this helps!

Answer:

4/3, or 1 1/3

Step-by-step explanation:

For a whole number, 1 is always the denominator. It would look like 4/1 x 3/8. Then you would multiply both the numerators and denominators. That would get you 12/8. Simplify it, to get 4/3. If you want to simplify it even more, you would get 1 1/3.

Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

Learn more about function at:

https://brainly.com/question/30721594

#SPJ1

The figure in quadrant IV is rotated clockwise by 90 degrees and then shifted vertically upward by some units to obtain the figure in quandrant I.

Comparing the two figures, we can write,

Consider first option <1=Since <1=

Consider<6= <6=

Consider

Consider <3=Since <3=.

Consider option <2 and We know,

The domain and the range of y = 12x - 36 are the set of all real numbers

From the question, we have the following parameters that can be used in our computation:

y = 12x - 36

There is no restriction on the input values, x

So, the domain of y = 12x - 35 is all real numbers, since there is no restriction on the input (x).

The range of y = 12x - 35 is also all real numbers, since the output (y) can be any real value, depending on the input (x).

This can be seen by considering that for any real number x, the output y = 12x - 35 will also be a real number.

Read more about domain and range at

brainly.com/question/2264373

#SPJ1

Complete question

What is the Domain of y = 12x - 36

x > 3 ,

-3 ≤ x ≤ 3,

all real numbers

Also, determine the range

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.

The mean can be used as a point estimate for the pull of force.

Using a calculator :

The mean(m) :

Σx /n = 1966/26

= 75.62 pounds

(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.

To obtain this, we calculate the median:

Median = 0.5(n + 1)th term

Median = 0.5(27)th term = 13.5

Take the 13th and 14th term:

(75.1 + 75.3) / 2 = 75.2 pounds

(c) Calculate point estimates of the population variance and the population standard deviation.

Using calculator ; the variance (s²) = 2.73815

The standard deviation (s) = √variance

s = √2.73815 = 1.655

(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.

Standard Error = standard deviation / √n

Standard Error = 1.655 / √26

= 0.3245

(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds

Number of Proportions less than 73 pounds / number of samples

= 1 / 26

= 0.0385

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:

D

Step-by-step explanation:

have a good day

Answer:

D) 7

Step-by-step explanation:

Since the two angles marked are corresponding, if \(p\) and \(q\) are parallel, they must be equal.

Therefore, we have:

\(14x+18=116,\\14x=98,\\x=\boxed{7}\)

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: 36 + 23 i\)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: (3 + 8i)(4 - 3i)\)

\(\qquad \tt \rightarrow \: (3 \sdot 4)+ (3 \sdot - 3i) + (8i \sdot4) + (8i \sdot - 3i)\)

\(\qquad \tt \rightarrow \: 12 - 9i + 32i - (24 {i}^{2} )\)

\(\qquad \tt \rightarrow \: 12 + 23i -( 24 \sdot - 1)\)

\(\qquad \tt \rightarrow \: 12 + 23i + 24\)

\(\qquad \tt \rightarrow \: 36 + 23i\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

\(\Large\maltese\underline{\textsf{A. What is Asked \space}}\)

Perform the indicated operation and write the answer with the form a+bi.

2 numbers given, one of which is complex

\(\Large\maltese\underline{\textsf{B. This problem has been solved!\space\space}}\)

Multiply these two numbers, just like you always multiply binomials.

\(\bf{(3+8i)(4-3i)}\) | multiply

\(\bf{3\times4+3\times(-3i)+8i\times4+8i\times(-3i)}\) | simplify

\(\bf{12-9i+32i-24i^2}\) | this can be simplified A LOT

\(\bf{12+23i-24i^2}\)  | as strange as it may seem, this can be simplified even  more, because isn't i^2 the same as -1?

\(\bf{12+23i-24\times(-1)}=12+23i+24}\) | add 12 and 24

\(\bf{36+23i}\)

\(\rule{300}{1.7}\)

\(\bf{Result:}\)

                     \(\bf{=36+23i}\). The answer is written in the form a+bi, as requested.

\(\boxed{\bf{aesthetic\not101}}\)

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Learn more on permutation here: https://brainly.com/question/11732255

#SPJ1

Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

the perimeter of a semi circle whose radius is the perimeter of a semi circle whose radius is the perimeter

Answer:

I think it would be 2,34 becuase when you think about the question it fits together

Step-by-step explanation:

:)

Answer:

15 men and 10 women attended

Step-by-step explanation:

Answer:

yes get that one 0.78.10

Step-by-step explanation:

An expression exists as a number, a variable, or a combination of numbers and variables, and function symbols. The speed in still water exists 4 mph.

The acronym BODMAS, which stands for brackets of, division, multiplication, addition, and subtraction, might be used to simplify the expression. It specifies how to answer a mathematical expression in a particular order.

Let x be the speed in still water

\($&\frac{5}{x+1}+\frac{6}{x-1}=3\)

LCD = (x + 1)(x - 1)

\($&(x+1)(x-1) \cdot \frac{5}{x+1}+(x+1)(x-1) \cdot \frac{6}{x-1}=(x+1)(x-1) \cdot 3 \\\)

simplifying the above equation, we get

5(x - 1) + 6(x + 1) = 3(x + 1)(x - 1)

5x - 5 + 6x + 6 = 3 x² - 3

3x² - 11x - 4 = 0

(3x + 1)(x - 4) = 0

x = -1/3 (speed is not negative);

then we get x = 4 mph

To learn more about expression refer to:

https://brainly.com/question/723406

#SPJ13