I need help with this please

The domain of f(g(x)) is the set of all real numbers x for which g(x) is defined and lies in the domain of f(x).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Given f(x) = 1/(x + 1) and g(x) = 1/(x+2)

First, let's find the domain of g(x). The function g(x) = 1/(x+2), so the denominator of this fraction must be non-zero. This means that x + 2 must be non-zero, or x must not equal -2. Thus, the domain of g(x) is all real numbers except for x = -2.

Next, let's find the domain of f(x). The function f(x) = 1/(x + 1), so the denominator of this fraction must also be non-zero. This means that x + 1 must be non-zero, or x must not equal -1. Thus, the domain of f(x) is all real numbers except for x = -1.

So, for f(g(x)) to be defined, g(x) must be in the domain of f(x), or g(x) must not equal -1. Since g(x) = 1/(x+2), this means that x + 2 must not equal 0, or x must not equal -2.

Combining these two conditions, the domain of f(g(x)) is all real numbers except for x = -2 and x = -1.

Therefore, the domain of f(g(x)) is all real numbers except for x = -2 and x = -1.

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Answer: C: on the science test because the y-intercept is greater

Step-by-step explanation: I got the question right on edge.

Answer:

C

Step-by-step explanation:

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer:

250

Step-by-step explanation:

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Answer:

Step-by-step explanation:

The side opposite the 30 degree angle is always half of the hypotenuse in the 30,60,90 triangle so

h=2(6)

h=12

The value of P(B) is 0.7.

We are given that there are two events A and B which are independent of each other. It means that they are mutually exclusive. We are also given the value of P(A) = 0.26 and \(P(B|A)\) = 0.7. We have to determine the value of P(B).

We will use the formula of conditional probability to solve this question.

The formula for conditional probability;

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

As we know that A and B are independent events, Therefore

P( A \(\cap\) B ) = P(A). P(B)

Substituting the value of \(P(A \cap B)\) in the formula of conditional probability,

Therefore,

\(P(B|A)\) = \(\frac{P(A) P(B)}{P(A)}\)

We are given that \(P(B|A)\) is 0.7, we will substitute this value.

0.7 = P(B)

Therefore, the value of P(B) is 0.7 after rounding it to the nearest thousandth.

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The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The margin of error of the survey will be ±4%.

Margin of error tells you how many percentage points your results will differ from the real population value. It is denoted as a tiny percentage allowed for in case of miscalculation.

The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations. Therefore, the margin of error can be written as,

Margin of Error = (84%-76%)/2 = 8%/2 = ±4%

Hence, the margin of error of the survey will be ±4%.

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Answer: C

Step-by-step explanation:

Based on the angle relationships formed by the parallel lines, the statements that are true are:

B. m∠3 = 100°

C. m∠2 + m∠4 = 80°

Some of the angle relationship that applies when two parallel lines are crossed by a transversal are:

Given the image attached below, where m and n are parallel lines, we can deduce the following measures of the numbered angles based on the angle relationships:

Measure of angle 1 = 60° [vertical angles]

Measure of angle 2 = 20° [corresponding angles]

Using the triangle sum theorem, we also have:

Measure of angle 3 = 180 - m∠CAB - m∠1

Measure of angle 3 = 180 - 20 - 60 = 100°

m∠4 = 60° [corresponding angles]

m∠2 + m∠4 = 20 + 60 = 80°

From the above, we can conclude that the statements are:

B. m∠3 = 100°

C. m∠2 + m∠4 = 80°

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Parallel lines are those straight lines that are always the same distance apart from each other.

B m∠3 = 100°

C. m∠2 + m∠4 = 80° are true

Parallel lines are those straight lines that are always the same distance apart from each other. · Parallel lines never meet no matter how much they are extended.

Given that, n||m

Point B is lies on line m.

Point A and C are lies on line n.

There are two lines started from point B and one line passes through point A and one line passes through point B forms a triangle ABC.

∠ACB=1

∠ABC=2

There is an angle with line m and line AB is denoted by 2.

Using the triangle sum theorem, we also have:

Measure of angle 3 = 180 - m∠CAB - m∠1

Measure of angle 3 = 180 - 20 - 60 = 100°

m∠4 = 60° [corresponding angles]

m∠2 + m∠4 = 20 + 60 = 80°

Hence From the above, we can conclude that the statements are:

B. m∠3 = 100°

C. m∠2 + m∠4 = 80°

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

the forth one

Step-by-step explanation:

plz mark brainlest

The quadrilateral can be classified as a trapezoid should be considered in the figure 4.

It is treated as the quadrilateral in which there is one pair of the parallel of the opposite sides. It involved the right angles i.e. right trapezoid also have the congruent sides i.e. isosceles  

So based on the given figure, we can say that The quadrilateral can be classified as a trapezoid should be considered in the figure 4.

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Answer:

It comes out to around 127

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

Let x be the total trip distance.

Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.

Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.

So, Maria has driven 9/35 of the total trip.

I need the help for this quick app anyone can help

Answer:

\(\%H = 8\%\)

Step-by-step explanation:

Given

See attachment for table

Required

The percentage of historical

From the table, we have:

\(Historical = 2\)

and

\(Total = 6+3+7+2+7\)

\(Total = 25\)

So, the percentage of historical is:

\(\%H = \frac{Historical}{Total} * 100\%\)

This gives:

\(\%H = \frac{2}{25} * 100\%\)

\(\%H = \frac{200\%}{25}\)

\(\%H = 8\%\)

Answer:

8%

Step-by-step explanation:

Answer:

a dilation is different from a translation because it enlarges an image or shrink them instead of moving them. it's also different from rotation since it doesn't rotate but enlarge or shrink. it's way far from reflection because it enlarges or shrinks.

Answer: A diliation is a non rigid transformation, whereas reflections, transitions and rotations are rigid transformations. This means that dilations do not preserve the size of the shape.

Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

Answer:

1/3 * (8 + 4)

Step-by-step explanation:

Expression which represents 1/3 tines the sum of 8 and 4

Expressing mathematically,

Sum of 8 and 4 is written as (8 + 4)

1/3 of the sum is expressed as ; 1/3 x (8 + 4)

Hence,

1/3 * (8 + 4)

1/3 * 12

= 4

Expression is 1/3 * (8 + 4)

Result = 4

Let the number of adult tickets sold be represented by a

Let the number o student tickets sold be represented by s

On the first day

12 adult tickets were sold and 2 students tickets were sold

=> 12a + 2s

The amount equals $134

12a + 2s = 134 ........ Equation 1

On the second day

13 adult tickets were sold and 8 students tickets which equal $ 186

13a + 8s = 186 ------ Equation 2

Equations 1 and 2 can be solved simultaneously

Using the Elimination Method

Equation 1 can be multiplied by 4 so that the variable s will be eliminated

=> 48a + 8s = 536 ---- Equation 3

Equation 2 can now be subtracted from equation 3

48a - 13a = 536 - 186

35a = 350

Divide both sides by 35

a =350/ 35

a = 10

To get s, substitute a = 10 into Equation 1

12a + 2s = 134

12 x 10 + 2s = 134

120 + 2s = 134

2s = 134 - 120

2s = 14

Divide both sides by 2

s = 7

The price of an adult ticket is $10

The price of a student ticket is $7

Hey there!

The formula is: y₂ - y₁ / x₂ - x₁

y₂ = 22

y₁ = 21

x₂ = 6

x₁ = 5

Your equation: 22 - 21 / 6 - 5

22 - 21 = 1 ← numerator (TOP number)

6 - 5 = 1 ← denominator (BOTTOM number)

We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1

(or you can simply 1 because 1 ÷ 1 gives you 1)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Given:

The adjacent side is 16.

The hypotenuse side is x.

The angle is 40 degrees.

To find:

The value of x.

Explanation:

Using the trigonometric ratio for the cosine formula,

Thus, the value of x is 20.89.

Final answer:

The value of x is 20.89.

Answer:

Hello! The answer for this is 900 liters a day

Step-by-step explanation:

The factors of the polynomial function f(x) must be x, x + 6  and x + 3

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

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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Answer:

13<X<17

Step-by-step explanation:

Triangular Inequalities state that a side is always greater than the absolute value of the difference of the other two sides and less than the sum of the other two sides. You use the inequality |a-b|<c<a+b with a, b, and c as the lengths of the sides.

When you plug in the numbers, (X being c, 2 being b, and 15 being a) you get

|15-2|<X<15+2

|13|<X<17

Which brings us to our final answer of:

13<X<17

Answer:

You would have 32% of alcohol and still have 100L of a solution.Because i took the test.

Step-by-step explanation:

12%+5%+15%=

17%+15%=

32%