Answers of this problems?? Please… part:1

The domain of function, (cd)(x) is all real values of x except x = 2, i.e., (−∞,2)∪(2,∞).

The domain of a function is defined as a set of values accepted by function. In this case, we have a rational function. A rational function will only be defined if the denominator is not equal to zero. We have, two functions, c(x) = 5/ x - 2 and

d(x) = x + 3. We should determine the domain of (cd) (x). The product of two is (cd) (x) = c(x) . d(x)

=> (cd)(x) = (5/(x - 2) )(x + 3) = 5(x+3)/(x -2)

Which is a rational function. So, the function will be defined if the denominator is not equal to zero, i.e., x - 2 ≠ 0 => x ≠ 2. Thus, domain set of function contains all real numbers values except 2. Therefore, the required domain of function (cd) (x) is all real values of x except 2.

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Complete question:

If c(x) = 5 / x - 2 and d(x) = x + 3. What is the domain of (cd)(x)?

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

\(T_{2}-T_{1}\) = -3 - 2

           = -5

Similarly, \(T_{3}-T_{2}=-8-(-3)\)

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, \(T_{n}\) = a + (n - 1)d  [n = input value]

\(T_{n}\) = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

\(T_{5}=2+(5-1)(-5)\)

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

Answer:

345 miles per hour = 300 knots per hour

Step-by-step explanation:

k being knots

300 times 1.15

1.15 miles per hour for every 1 knot per hour

Answer:

Step-by-step explanation:

This scatter plot has a moderate negative correlation.

Step-by-step explanation:

He would have 211 left. 750- 539= 211

Answer:

none of the lines are parallel or perpendicular to each other

Step-by-step explanation:

which lines are parallel or perpendicular? line A:(-4,-1)(2,-2)line B:(-5,-3)(5,1) line C:(-2,-3)(2,-1)​

in order to know which lines are parallel or perpendicular, we need to find the slopes of the lines given

Slope M  = y2-y1/x2-x1

For line A;

Ma = -2+1/2+4

Ma = -1/6

Slope of line A is -1/6

For line B;

Mb = 1 -(-3)/5-(-5)

Mb = 1+3/5+5

Mb = 4/10

Mb = 2/5

The slope pf line B is 2/5

For line C;

Mc = -1-(-3)/2-(-2)

Mc = -1+3/2+2

Mc = 2/4

Mc = 1/2

Hence the slope of line C is 1/2

Since all the slopes are different , hence none of the lines are parallel or perpendicular

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Mean = (4+5+6+3)/4 = 4.5 bubbles

Answer: b=2a/h-a

Step-by-step explanation:

Answer:

The greatest number of arrangements she can make would be that she uses 4 groups of 5 daisies and 4 groups of 4 roses.

The greatest number of arrangements is 4, and each group has 5 daises and 4 roses.

The biggest positive integer that divides both numbers and is a divisor of both is known as the greatest common divisor of two integers.

Given that, Amanda has 20 daises and 16 roses.

The number of arrangements that can be made using 20 daises and 16 roses is the greatest number that can divide both the numbers 20 and 16.

The greatest number that can divide both 20 and 16 is 4.

Hence, 4 groups of arrangements can be made.

The number of daises in a group is:

20/4

= 5

The number of roses in a group is:

16/4

= 4

Hence, the greatest number of arrangements is 4, and each group has 5 daises and 4 roses.

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We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer:

-6tu

Step-by-step explanation:

Answer:

5.5

hope this helped!!!!!

Answer:

Step-by-step explanation:Let's solve for c.

x2+10x+c=−3+c

Step 1: Add -c to both sides.

x2+c+10x+−c=c−3+−c

x2+10x=−3

Step 2: Add -x^2 to both sides.

x2+10x+−x2=−3+−x2

10x=−x2−3

Step 3: Add -10x to both sides.

10x+−10x=−x2−3+−10x

0=−x2−10x−3

Step 4: Divide both sides by 0.

0

0

=

−x2−10x−3

0

c=

−x2−10x−3

0

Answer:

c=

−x2−10x−3/0

hope it helps :D

Answer:

(Sqrt 8)/1

Step-by-step explanation:

<90/2 = <45 degrees

Tan 45 degrees = sqrt 8/x

x = (sqrt8)/tan 45

x = (sqrt 8)/1

well, your observation is correct, for the form

if the coefficients are the of x² and y² are different and the same sign then we have an ellipse, hmmm I usually see a circle as an ellipse with equal major and minor axes, because is basically just that.

However, the rational form you have is that of an ellipse indeed, we can change it about to the form above and you'll see it so.

Just bear in mind that for the rational form for conics

if both fractions are positive and their denominator different, is an ellipse

if both fractions are positive and their denominator equal, is a circle

if one of the fractions is negative, then we have a hyperbola, and on a hyperbola the traverse axis is always the denominator with the positive fraction, so if the denominator is under the "x" fraction, then the traverse axis is horizontal, if under the "y" fraction, then vertical.

based on that fraction, is an ellipse with a center at (2 , -5).

now, the larger denominator is 29 and it's under the "y" variable, that means the major axis is in the direction of the y-axis, so is a vertical ellipse if you wish.     Check the picture below.

Answer:

Alex:Chris 35:15

Step-by-step explanation:

7-3 (ratios)= 4

20 sweets= 4:1

20÷4= 5

5×7= 35 (how many sweets Alex got)

5×3= 15 (how many sweets Chris got)

Alex got 20 more sweets than Chris

(sorry if you didn't understand how I explained it)

Tony's rounding process does not introduce any errors. Therefore, he does not get any questions wrong.

Tony completes a series of rounding operations, starting from the hundred thousandth place and gradually rounding to the nearest whole number. The question asks how many questions Tony gets wrong based on this rounding process.
Let's analyze Tony's rounding process step by step:
1. Rounding to the nearest hundred thousandth: Since Tony rounds to the nearest hundred thousandth and uses that as his answer, it means that his answer is already rounded to the nearest whole number.
2. Rounding to the nearest ten thousandth: In this step, Tony rounds his already rounded answer to the nearest ten thousandth. Since his original answer is already rounded to the nearest whole number, rounding to the nearest ten thousandth will not change the value.
3. Rounding to the nearest thousandth: Again, this step involves rounding his already rounded answer to the nearest thousandth. Rounding to the nearest thousandth will not change the value of a whole number.
4. Rounding to the nearest hundredth: Tony's already rounded answer, which is a whole number, will not be affected by rounding to the nearest hundredth.
5. Rounding to the nearest tenth: Similarly, since Tony's answer is a whole number, rounding to the nearest tenth will not alter the value.
6. Rounding to the nearest whole number: Finally, Tony rounds his already rounded answer to the nearest whole number. Since his answer is already a whole number, this step will not change the value.
Based on this analysis, Tony's rounding process does not introduce any errors. Therefore, he does not get any questions wrong.

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Answer: Each seat on the Ferris wheel travels approximately 11.8 feet.

Step-by-step explanation:

The formula for the circumference of a circle is C = πd, where C represents the circumference and d represents the diameter.

Given that the diameter of the Ferris wheel is 60 feet, we can calculate the circumference:

C = π * 60

C ≈ 3.14 * 60

C ≈ 188.4 feet

Now, we divide the circumference by the number of seats to find out approximately how far each seat travels:

Distance traveled by each seat = Circumference / Number of seats

Distance traveled by each seat ≈ 188.4 / 16

Distance traveled by each seat ≈ 11.775 feet

Rounding to the nearest tenth, each seat on the Ferris wheel travels approximately 11.8 feet.

Answer:

q + q + 4

Step-by-step explanation:

q + q +4

The x-intercepts found using the factor method are (1,0) and (-2,0).

What is a factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The x-intercept is found by substituting y=0 in the given equation.

y = 4x² + 4x - 8

0 = 4x² + 4x - 8

Since 4 is a common factor for all terms in the above quadratic equation, we can simplify but dividing all terms by 4.

We then get,

x² + x - 2 = 0

The last term indicates the product of factors.

To get product as -2, we know one factor is 1, so the other factor should be -2.

(x+2) (x-1) = 0

Therefore the other x-intercept for the parabola is (-2,0) as -2 and 1 are factors of the equation.

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1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.

To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.

The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.

The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.

The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.

The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.

Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.

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Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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Answer:

Step-by-step explanation:

125= 3.36

234 = x

cross multiply

234*3.36 = 125x

786.24 = 125x

divide both sides by 125

786.24/125 = x

x=$6.29

The domain of y = cos x is (-∞, ∞) or the set of real numbers. The domain of a function refers to all the possible input values for which the function is defined.

In the case of the function y = cos x, the input values are the values of x. Since the cosine function is defined for all real numbers, the domain of y = cos x is the set of real numbers. This means that any real number can be plugged into the function y = cos x and a corresponding output value will be obtained. The domain is not restricted to any specific range or interval, and it is continuous. Therefore, the domain of y = cos x is (-∞, ∞) or the set of real numbers.

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Answer:

\(\dfrac{3}{10}\)

Step-by-step explanation:

Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)

If the central angle of the arc is \(\dfrac{3\pi}{5}\)

Length of an arc\(=\dfrac{3\pi r}{5}\)

Therefore:

Ratio of the length of the arc to the circumference

\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)

Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

the pic is not clear do you mind making it clear