if f (x)=x/2+8 what is f (x) when x=10​

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Part A: $225 is her monthly payment.

Part B: She will have paid $20,325.

Part A Explanation: 14,100 - 13,200 is 900. Then you divide 900 by 4. 4 being the months. When you divide that, You get, 225.

Part B Explanation: You have the $6000 dollar down payment, plus the $14,225 total is payments. It equals 20,325.

Hope this helps!

Answer:$40

Step-by-step explanation:

9514 1404 393

Answer:

  12.76 units

Step-by-step explanation:

The distance formula is useful for finding the lengths of segments between given coordinates.

  d = √((x2 -x1)² +(y2 -y1)²)

Then the lengths of the line segments are ...

  CD = √((1-2)² +(1-4)²) = √10

  DE = √((5-1)² +(0-1)²) = √17

  EF = √((3-5)² +(4-0)²) = √20

  FC = √((2-3)² +(4-4)²) = 1

Then the perimeter is ...

  √10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units

__

In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.

The range of possible diagonal lengths is between 9 and 15

Here, we want to find the range of possible diagonal lengths in a parallelogram with side lengths of 3 and 12

A parallelogram has two diagonals of unequal length

The relationship between the diagonal lengths and the dimensions of the sides are;

so the sum of the diagonals are ;

Answer: B

Step-by-step explanation:

\(3 \frac{5}{8} \div 4=\frac{29}{8} \div 4=\frac{29}{32}\)

Answer:

 =6mx^4−7x^4

Step-by-step explanation:

(6m−7)(x^4)

=(6m+−7)(x^4)

=(6m)(x^4)+(−7)(x^4)

\(\huge\text{Hey there!}\)

\(\mathsf{(6m - 7)\times4}\)

\(\mathsf{= (6m - 7)(4)}\)

\(\mathsf{= (6m - 7) 4}\)

\(\mathsf{= 4(6m - 7)}\)

\(\mathsf{= 4(6m) - 4(-7)}\)

\(\mathsf{= 6m(4) + (-7)(4)}\)

\(\mathsf{= 6m(4) - 7(4)}\)

\(\mathsf{= 6m - 28}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

23 students

Step-by-step explanation:

Keep in mind 13 students DONT have pets, so these 13 students aren't part of the 63 students that have at least one pet.

63-21-19=

63-(21+19)=

63-40=23 students

There are a total of 40 students that don't have just cats.

There are 23 students remaining.

Answer: BC = 24

Step-by-step explanation:

Given:

AB = x+33

AC = 3x - 15

BC = x

<B = <C

Solution:

Because <B = <C, you can say the corresponding sides AB and AC are equal as well

AB = AC

x + 33 = 3x -15  

48 = 2x

x = 24

Since x = BC

BC = x

BC = 24

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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Answer:

x < 5/4

Step-by-step explanation:

divide by 16 on both sides

x < 20/16 = 5/4

1) We can write an exponential function as

Since then we can examine our function:

2) Let's set a table to check this rate of change:

x | y

-1 | 408.16

0 | 400

1 | 392

2 | 384.16

3 | 376.47

Note how the va

Since we can rewrite that function as:

We have a decay of 2% per hour since 0.98 is lesser than 1.

3) And the answer is decrease 2% per hour

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Sales at LL Boutique decreased 10% this month compared to last month.

Let x be the sale last month

The value of x can be found as follows:

x = 112581/(100% - 10%)

x = 112581/(90%)

x = 112581/(0.90)

x = $125090

Thus, the sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.

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Answer:

2,700

Step-by-step explanation:

thx for da points tee hee

Answer:

2700

Step-by-step explanation:

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

Answer:

Option D) 6.8 × 10⁻²

Answer:

D

Step-by-step explanation:

Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

\(y=log_{2}x^{3}.(5x^{4}+2)\)

We have to differentiate with respect to x.

y'=xy'+yx'

\(x=log_{2}x^{3}\)

\(y=5x^{4}+2\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

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For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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The distance between the points 3 and 18 is expressed as |3 - 18| and the absolute value of the expression is 15 units.

We are given two numbers 3 and 18 and we are asked to determine the distance between these two points using absolute value.

The distance between two numbers is equal to their difference and distance is always a positive quantity so the absolute value function is used over the distance to prevent a negative distance. The distance between points x and y is given by |x - y|

Put 3 and 18 in |x - y|

|x - y| = |3 - 18| = |-15|

The absolute value function is defined by |x| = x if x ≥ 0 or -x if x < 0

Here, -15 < 0. It can be concluded that |-15| = -(-15) = 15

The distance between the points 3 and 18 is expressed as |3 - 18| and the value of the expression is 15 units.

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Answer:

B

Step-by-step explanation:

The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

\((2x+1)+29=90\\2x+1=61\\2x=60\\x=30\)

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

59

Step-by-step explanation:

Round 59.3506494 to the first 2 sig figs which is 59 since the number next to the decimal isnt over or 5, so it stays as 59 instead of 60.

Answer:

The total cost of the ski hat and the ski boots is $112.35.

Step-by-step explanation:

First, we need to add the prices of the ski hat and the ski boots.

85.50 + 19.50 = $105

Now, we need to find 7% of $105, and then add it to the total.

105 x 0.07 = $7.35

105 + 7.35 = $112.35

Therefore, the total cost of the ski hat and the ski boots is $112.35.

Let me know if this helps!

One possible solution within this region is (10, 4), which means Samantha buys 10 bags of popcorn and 4 pretzels.

Let's start by defining our variables:

The first condition is that Samantha must buy at least 14 bags of popcorn and pretzels altogether:

x + y ≥ 14

The second condition is that she must buy no more than 14 pretzels:

y ≤ 14

Next, we need to consider the cost constraint. Each bag of popcorn costs $9 and each pretzel costs $5. If Samantha buys x bags of popcorn and y pretzels, her total cost will be:

9x + 5y ≤ 110

Now, we have a system of inequalities:

To graph this system, we can start by graphing each inequality separately:

For x + y ≥ 14, we can graph the line x + y = 14. To do this, we can plot two points on this line: (0, 14) and (14, 0), and draw a straight line passing through these two points.

For y ≤ 14, we can draw a horizontal line at y = 14.

For 9x + 5y ≤ 110, we can rearrange the inequality to get:

y ≤ (-9/5)x + 22

This is the equation of a line with a slope of -9/5 and a y-intercept of 22. We can plot two points on this line: (0, 22) and (12.22, 0), and draw a straight line passing through these two points.

Now, we can shade the region that satisfies all three inequalities. The shaded region will be the area that is above the line x + y = 14, below the line y = 14, and to the left of the line y = (-9/5)x + 22.

One possible solution within this region is (10, 4), which means Samantha buys 10 bags of popcorn and 4 pretzels.

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The length of the side is 10√2 cm.

To solve this problem we need to know the concepts of area of plane figures.

We know the  area of a square is the square of its sides.

Now, the given data says that the area of a square game board is 200  sq.cm.

Let the side of the square be a cm.

According to question,

    a × a=200

⇒ a² = 200

⇒ a = √200

∴ a = 10√2 cm

So, the length of one side of the square game board is  10√2 cm.

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