What is the equation of the time that passes through the poin3,2 ani
has an undefined slope?

Answer:

76

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

The output value of (f∘g)(x) is:  \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).

In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

\(f(x) = \frac{x-6}{x +3}\)

g(x) = 4x - 15

Next, we would write the numerators and denominators in factored form as follows;

(x - 6)(4x - 15)

4x² - 15x - 24x + 60

4x² - 29x + 60

Now, we can derive the corresponding composite function of f(x) and g(x);

\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

x + 3 ≠ 0

x ≠ -3

Domain = (-∞, -3) U (-3, ∞).

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Just flip the signs of co-ordinates by using formula y=>-y

\(\\ \ast\bull\rm\longmapsto Z(-5,-4)\implies Z'=(-5,-(-4))\implies Z'=(-5,4)\)

\(\\ \ast\bull\rm\longmapsto Y(-3,-4)\implies Y'=(-3,-(-4))\implies Y'=(-3,4)\)

\(\\ \ast\bull\rm\longmapsto X(-5,-1)\implies X'=(-5,-(-1))\implies X'=(-5,1)\)

Answer:

• Reflection about the x-axis, consider a point A

\({ \tt{A(x,y) \: \dashrightarrow \:A {}^{i} ( - x, \: y) }}\)

• Therefire, coordinates of X'

\( \dashrightarrow \: { \boxed{ \tt{X( - 5, \: - 1) = X'(5, \: - 1)}}}\)

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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The time he start shopping is 2 : 00 PM

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

Time spent = 25 minutes

Time he left the store = 2 : 25PM

Using the above as a guide, we have the following:

Time he started = Time he left the store - Time spent

substitute the known values in the above equation, so, we have the following representation

Time he started = 2 : 25PM - 25 minutes

Evaluate

Time he started = 2 : 00 PM

Hence, the time he start shopping is 2 : 00 PM

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Answer: c

Step-by-step explanation:

Answer:

Simple interest is calculated on the principal, or original, amount of a loan. Compound interest is calculated on the principal amount and also on the accumulated interest of previous periods, and can thus be regarded as "interest on interest."

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

6878.80

Step-by-step explanation:

2250 + (35200*13.15%)

2250+4628.80

6878.80

Answer: 6878.8

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

8-12=-4

Answer:

-4

Step-by-step explanation:

8-12=-4

Answer:

0.429

Step-by-step explanation:

3 / 7 = 0.4285 ≈ 0.429 (Must have 3 numbers after the decimal)

Answer:

Step-by-step explanation:

3/7 = 0.428571 = 0.429.

Value of the given functions f(x) = 2x -1 and g(x) = x² +1 for the composite functions is given by:

f(g(x)) = 2x² + 1

(gof)(x) = 2 (2x² -2x +1)

As given in the question,

Given functions are :

f(x) = 2x -1 and g(x) = x² +1

Value of the required composite functions are as follow:

Substitute the value of required function in the composite function we have:

f(g(x))

= f(x² +1)

= 2(x² +1) -1

= 2x² +2 -1

= 2x² +1

(gof)(x)

=g(f(x))

= g(2x -1)

= (2x - 1)² +1

= 4x² -4x +1+1

= 4x² -4x +2

= 2(2x² -2x +1)

Therefore, value of the given functions f(x) = 2x -1 and g(x) = x² +1 for the composite functions is given by:

f(g(x)) = 2x² + 1

(gof)(x) = 2 (2x² -2x +1)

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The value of p and q is 2 , -8 , The nth term of the series is given by  3 * n² + n-2 ,  the 40th term is 4838 .

A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.

The sequence is given as 7; p; -3;q;...

for a linear pattern

7-p = p- (-3) = -3-q

2p = 4

p = 2

and

2+3 = -3 -q

5 +3 = -q

q = -8

The value of p and q is 2 , -8

A quadratic sequence is defined as 2; 12; 28; 50

The next two terms are 77 and 112.

3. The T40 of the sequence is

The nth term of the series is given by

3 * n² + n-2

therefore 40th term is

3 *40² + 40-2

3 *1600 +38

4838

Therefore the 40th term is 4838 .

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Answer:

D. 2

Step-by-step explanation:

The mode is the number in the data set that appears the most often. 2 appears twice while the others only appear once so 2 is the mode.

Answer:

2

Step-by-step explanation:

The way that you're to find the mode of a data set is by putting the numbers in order (so 2, 2, 5, 6, 8, 9, 10) then whichever number repeats itself the most is the mode.

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The circle has a radius of 2 and is centred at the coordinates (5, 6). On the circle's x-axis, the points (3, 6) and (7, 6) are two points .

A circle is a closed shape made up of all elements in a plane that are indistinguishable from a predetermined point known as the centre. The radius (r) of a circle is the separation between the circle's centre and any other point on the circumference.

given

These procedures can be used to graph the circle :

Determine the circle's centre. The point in this instance serves as the centre (5, 6).

Determine the circle's radius. The circle's diameter is 4/2, or two.

Place the circle's centre on the coordinate plane.

Plot points that are 2 units distant from the centre in all directions to form the circle.

The circle has a radius of 2 and is centred at the coordinates (5, 6). On the circle's x-axis, the points (3, 6) and (7, 6) are two points, and the points (5, 4) and (5, 8) are two points on the circle's y-axis.

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a) The total closing costs are $100,000.

b) The actual amount they financed with the mortgage is $90,000.

a) Total Closing Costs:

To find the total closing costs, we need to calculate 10% of the selling price, which represents the down payment. Additionally, we need to consider the closing costs that are financed as part of the mortgage.

Calculate the down payment:

Down Payment = 10% of Selling Price

Down Payment = 10% of $100,000

Down Payment = $10,000

Calculate the financed amount for closing costs:

Financed Closing Costs = Selling Price - Down Payment

Financed Closing Costs = $100,000 - $10,000

Financed Closing Costs = $90,000

Therefore, the total closing costs are $10,000 for the down payment plus $90,000 for the financed closing costs, resulting in a total of $100,000.

b) Actual Amount Financed with the Mortgage:

To find the actual amount financed with the mortgage, we need to subtract the down payment from the selling price.

Actual Amount Financed = Selling Price - Down Payment

Actual Amount Financed = $100,000 - $10,000

Actual Amount Financed = $90,000

Therefore, Kyung Ja and Hideo Hakola financed $90,000 with the mortgage.

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The graph shows a maximum wolf population size of 500 individuals, which occurred in 2017.

The graph depicts the magnitude of the wolf population in a certain location during the previous 25 years. The population size is shown to have changed over time, with the peak population count of 500 people happening in the year 2017. A population size of 450 people, which is a little less than the highest population level, was then reached in 2018. The year 2000 saw the lowest population size, with only 200 people living there. In 2017, there were 500 people in the population, which had grown considerably over the years. This suggests that over the past 25 years, the wolf population has been growing which occurred in 2017.

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The complete question is

based upon the data presented in the graph, which of the following best identifies the highest wolf population size which occurred in 2017?

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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Answer:

20.

Step-by-step explanation:

60 - 40 = 20

Answer:

There are 5 prime numbers between 40 and 60.

Step-by-step explanation:

A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.

Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

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

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:B

Step-by-step explanation:

Answer:

tan−1(10/0.8)

Step-by-step explanation:

Answer: 1.2

Step-by-step explanation:

Just use a calculator

Using either shell method, the volume of the solid generated by revolving the region bounded by y = \(x^{3}\) and y = 0 around the lines x = 2 (a), x = 0 (b), and x = 9 (c) can be determined to be 8π, 0, and 54π, respectively.

To solve this problem using the disk method, we first need to determine the area of the region bounded by the two equations. This can be done by integrating y = \(x^{3}\) from x = 0 to x = 2, which gives us A = 8/4 = 2. We then need to determine the radius of the disk, which is the distance from the line of rotation to the point of intersection of the two equations.

For (a), this is the distance from x = 2 to y = 2, which is 2. For (b), this is the distance from x = 0 to y = 0, which is 0. For (c), this is the distance from x = 9 to y = 27, which is 27/3. We can now use the formula for the volume of a solid generated by revolving a region around a line to calculate the volume for each of the three lines:

(a) V = π(2)2 × 2 = 8π

(b) V = π(0)2 × 2 = 0

(c) V = π(27/3)2 × 2 = 54π

To solve this problem using the shell method, we first need to determine the limits of integration, which is the same as for the disk method. We then need to determine the radius of the shell, which is the distance from the line of rotation to the point of intersection of the two equations.

This is the same as for the disk method. We can now use the formula for the volume of a solid generated by revolving a region around a line to calculate the volume for each of the three lines:

(a) V = 2π ∫(2) (\(x^{3}\)) dx = 8π

(b) V = 2π ∫(0) (\(x^{3}\)) dx = 0

(c) V = 2π ∫(27/3) (\(x^{3}\)) dx = 54π

The disk and shell methods are two methods used to find the volume of a solid generated by revolving a region bounded by the graphs of two equations around a given line.

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The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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