algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14

Describe two types of transformations that can be used to transform f(x) to g(x)

Solve for k in each type of transformation.

Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answer:

Option 2

Step-by-step explanation:

Making the terms based on the words :

⇒ n/3 - 3 (3 is subtracted from one third of a number n)

⇒ < 6 (less than 6)

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

The inequality is :

⇒ n/3 - 3 < 6

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

The solution :

⇒ n/3 - 3 < 6

⇒ n/3 < 9

⇒ n < 27

Answer:

12w +8

Step-by-step explanation:

Answer:

D. 2√2

Step-by-step explanation:

In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.

x = 4/√2 = 2√2

If sales increase by 66,000, income will increase by 220,000.00

Net operating income 37,200.00

The margin of safety is 14.01%

Statement showing Computations  

particulars Amount Per unit

Sales 628,000.00 40.00

Variable Expenses 439,600.00 28.00

Contribution Margin 188,400.00 $ 12.00

Fixed Expenses 151,200.00

Net operating income 37,200.00

'

1)  BEP in unit sales = 151,200/12 12,600.00

.BEP in sales $ = 12,600 * 40 504,000.00

2)  Total Contribution margin at BEP = Fixed costs 151,200.00

3)a Target Profit $ 64,800.00

Fixed Expenses 151,200.00

Desired Contribution 216,000.00

3b. No of units to be sold = 216,000/12 18,000.00

Sales 720,000.00

Variable Expenses 504,000.00

Contribution Margin 216,000.00

Fixed Expenses 151,200.00

Net operating income 64,800.00

4)  Margin of safety = 628,000.00-540,000.00 88,000.00

MOS in % = 88,000/6280001 14.01%

5)CM Ratio = 188,400/628,000 0.3

If sales increase by 66,000, income will increase by 220,000.00

66,000/0.3

=220,000.

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Answer:

300 right handers

Step-by-step explanation:

Answer:

The answer is 300 right handers.

Step-by-step explanation:

I looked up the question on google, and found the workbook that it came from. Towards the bottom of the book is the answers so I matched the question to the list of answers and found that it is 300 right handers.

Step-by-step explanation:

=25% of 80

=25/100×80

=20 is left

The p - value is, 0.3317.

What is test statistic?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Given: A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s.

In 1990s, the average amount of time spent playing computer games was 10. 2 hours per week.

Is the amount of time greater than that for this year? twenty students were surveyed and asked how many hours they spent playing video games.

The test statistics is equal to 0.45.

H0: μ = 10.2

H1: μ > 10.2

Test statistic:

t = 0.45          (since n is small)

P value = 0.3317

Hence, the p - value is, 0.3317

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Answer:

The correct answer is option B)\(-1\)

Step-by-step explanation:

  \(& \left( 7x-14 \right)\left( 3x+9 \right)=0 \\ & 21{{x}^{2}}+63x-42x-126=0 \\ & 21{{x}^{2}}+21x-126=0 \\ & \\\)  

Solving the equation-

\(\[x=2,-3\]\)

Now,  

\(& -\text{ }\left| a+b \right|=-\left| 2-3 \right| \\ & =-1 \\\)

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You do not need to listen to my opinion but I think another excellent title could be Survival (Man Vs Dog).

And so here is an explanation of this title: The book may be for young adults, but it truly shows a dark trip to human nature and a species that can be noble as well as cruel and insensitive. Buck, the protagonist, is a dog who has been kidnapped and placed as a sled dog in the 19 century Klondike Gold Rush. It is Buck's loyalty and instinct that helps him return to his owners which forms the plot of the story and the assumptions are able to make about the inhumanity of humans and the very real loyalty and humanity Buck shows.

Sorry for taking so long:)

Answer:

The system of equations represent the same line ⇒ B

Step-by-step explanation:

In the system of equations ax + by = c and dx + ey = f, if

∵ The one line represented by the equation 25y - 20x = 100

→ Divide the terms of the equation by 5 to simplify it

∴ 5y - 4x = 20 ⇒ (1)

∴ a = 5, b = -4, c = 20

∵ The other line represented by the equation 5y - 4x = 20 ⇒ (2)

∴ d = 5, e = -4, f = 20

→ Compare the two equations

∵ a = d, b = e, c = f

→ By using the 1st case above

∴ The system of equations represent the same line

Answer:

The number of softballs that would fill the room is 221796 softballs

Step-by-step explanation:

First we will determine the Volume of the room.

The volume of a room is given by

\(Volume = lwh\)

From the question, the given dimension of the room is  10 by 12 by 24 foot

Hence the volume of the room = 10 × 12 × 24

= 2880 cubic feet (ft³)

Convert to cubic inches

To do this, multiply the answer in cubic feet by (12 × 12 × 12)

(NOTE: 1 foot = 12 inches)

Hence, 2880 cubic feet = 2880 × 12 × 12 × 12 cubic inches

= 4976640 cubic inches

This is the volume of the room.

To estimate the number of softballs that would fill the room, we will determine the number of softballs which would give a total volume that is equal to the volume of the room.

First, we will find the volume of one softball

Diameter of softball = 3.5 inches

∴ Radius of softball, r = 3.5/2 inches = 1.75 inches

∴ r = 1.75 inches

Now, for the volume of one softball

From,

V = 4/3 (3.14)r^3

\(V = \frac{4}{3}(3.14)r^{3}\)

\(V = \frac{4}{3}(3.14)\) × \(1.75^{3}\)

\(V = 22.43791667\) cubic inches

This is the volume of one softball

The number of softballs that would fill the room will be

= Volume of the room / Volume of one softball

= 4976640 cubic inches / 22.43791667 cubic inches

=221795.9926

≅221796

Hence, the number of softballs that would fill the room is 221796 softballs

Rewrite the fractions to have a common denominator to find the difference:

2/3 = 4/6

Difference = 4/6-5/6 = -1/6

Sequence formula = an = a1 + d(n-1)

A1 is the first term 5/6

And d = -1/6

Sequence = 5/6 -1/6(n-1)

Simplify to get an =(-n +6)/6

An integral expression represents the calculation of the area under a curve or the accumulation of a quantity over a certain interval. It is denoted by the integral symbol and involves integrating a function with respect to a variable.

We are given an integral expression [(5x + 2)tan(2x³+4x)]dx and we need to determine which of the following u-substitutions would allow us to compute this integral.

The correct u-substitution for the given integral is u = 2x³ + 4x.

Option A: u = tan(2x³+4x) is not the correct substitution for this integral.

Option B: u = 2x5 + 4x is an invalid substitution for this integral.

Option C: u = tan(x) is not the correct substitution for this integral.

Option D: u = 10x4 + 4 is an invalid substitution for this integral. Therefore, the correct u-substitution that would allow us to compute the given integral is u = 2x³ + 4x which is Option A.

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Answer:

english pls

Step-by-step explanation:

Answer:

1840 miles

Step-by-step explanation:

Based on the function f(x) = 3 - x², the value of f(-2) include the following: f(-2) = -1.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function f(x) is -2, the output value (range) is given by;

f(x) = 3 - x²

f(x) = 3 - (-2)²

f(x) = 3 - 4

f(x) = -1

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Answer:

i don't under stand the question

Step-by-step explanation:

Answer:

i think it is x=11,22 y= 21,42, then x=10,20 y=19,28, then x= 9,18 y=17,34,then x=7,14 y=13,26, then x=5,10 y=9,18

Step-by-step explanation:

The test that would be conducted to see if the claim that the mean price of SUVs in the region is $45,000 is true would be a one-sample t-test.

The kind of test conducted to determine if the mean price of SUVs in the region is $45,000 is a hypothesis test, specifically a one-sample t-test or z-test, depending on the sample size and available information about the population's standard deviation. This test compares the sample mean price to the claimed mean price to assess whether there's significant evidence to support or refute the claim.

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The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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The main axis of the surface is along the x-axis.

a. 36z^2 = 4x^2 + 9y^2

To write the equation in standard form, we can rearrange the terms:

4x^2 + 9y^2 - 36z^2 = 0

Dividing both sides by 36:

x^2/9 + y^2/4 - z^2/1 = 1

Comparing this equation to the standard form of an equation for a surface, we can see that it represents a hyperboloid of one sheet. The main axis of the surface is along the z-axis.

b. 20x^2 + 45y^2 + 5z^2 = 180

To write the equation in standard form, we can rearrange the terms:

20x^2 + 45y^2 + 5z^2 - 180 = 0

Dividing both sides by 180:

x^2/9 + y^2/4 + z^2/36 - 1 = 0

Comparing this equation to the standard form of an equation for a surface, we can see that it represents an ellipsoid. The main axis of the surface is along the z-axis.

c. 20x^2 - 180 = 45y^2 + 5z^2

To write the equation in standard form, we can rearrange the terms:

20x^2 - 45y^2 - 5z^2 + 180 = 0

Dividing both sides by 180:

x^2/9 - y^2/4 - z^2/36 + 1 = 0

Comparing this equation to the standard form of an equation for a surface, we can see that it represents a hyperboloid of two sheets. The main axis of the surface is along the x-axis.

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Answer:

x=1

Step-by-step explanation: In order to find x, you have to set the sides equal to another, to do so, you have to write the equation as 3x-4=x-2.

The expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).

As per the question, we can write the expression as:

(t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9)

Using product notation, we can write this as:

Π⁷k =1 \((t^k - 9)\)

where Π represents the product of terms, k is the index of the product, and the subscript 7 indicates that the product runs from k = 1 to k = 7.

Therefore, the expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).

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Answer:

a zero

b commutative

The length of fence she will need to divide the garden is 9.22 m.

A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

Let us consider the length of the fence be 'x'  

Using Pythagoras Theorem,

x² = 6² + 7²

\(x^{2} =36+49\\x^{2} = 85\)

x = 9.22 m

So, the length of fence is 9.22 m.

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Answer:

9.22

Step-by-step explanation:

edge

Answer:

30,440 feet

Step-by-step explanation:

You simply just add 29,029 and 1411 because if you picture it on a number line, 29,029 would be to get to zero as well as 1411 going up in elevation.

Answer: 3 x 6

               18 yd²

Step-by-step explanation:

Answer:the area is 18

Step-by-step explanation: I need brainliest for the next rank I’d appreciate it

Answer:

There are 1320 ways in which 15 runners can be awarded for a 200-meter sprint race three different medals.

Step-by-step explanation: Whenever we are supposed to find the ways in which certain things have to be arranged, we use the concept of Permutation.

The number of possible ways to award gold, silver, and bronze medals for a 200-meter sprint with 15 runners is 2,730.

1. Select the gold medal winner: There are 15 runners, so there are 15 choices for the gold medal.

2. Select the silver medal winner: Since the gold medalist is already chosen, there are 14 remaining runners to choose from for the silver medal.

3. Select the bronze medal winner: With gold and silver medalists chosen, there are now 13 remaining runners to choose from for the bronze medal.

Multiply the number of choices together: 15 (gold) x 14 (silver) x 13 (bronze) = 2,730 possible ways to award the medals.

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Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept?  Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

Three factors that have led the government to provide social assistance to a large part of the South African population are historical inequality, high levels of poverty and unemployment, and the need for social cohesion and stability.

Firstly, historical inequality in South Africa, particularly during the apartheid era, has left a legacy of economic and social disparities. The government recognizes the need to address these inequalities by providing social assistance to uplift marginalized and disadvantaged communities.

Secondly, high levels of poverty and unemployment in South Africa contribute to the necessity of social assistance programs. Many individuals and households struggle to meet their basic needs, and social assistance helps alleviate poverty and provide a safety net for vulnerable populations.

Lastly, social assistance programs are also implemented to promote social cohesion and stability. By ensuring that basic needs are met and reducing extreme poverty, the government aims to create a more equitable society and prevent social unrest.

Overall, these factors have driven the government to prioritize social assistance programs as a means to address historical inequalities, alleviate poverty, and promote social cohesion in South Africa.

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The utility functions in options a, b, c, and f are not risk-averse on the interval [a,b], while the utility functions in options d and e are risk-averse on the interval [a,b].

In economics and finance, risk aversion refers to a preference for less risky options over riskier ones. Utility functions are mathematical representations of an individual's preferences, and they help determine whether someone is risk-averse, risk-neutral, or risk-seeking. A risk-averse individual would have a concave utility function, indicating a decreasing marginal utility of wealth.

For options a, b, c, and f, the utility functions are and f(x) = -ln(x), g(x) = \(-e^(^-^x^)\), h(x) = \(-4x^2\) - 10x, respectively. These utility functions do not exhibit concavity, which means they are not risk-averse. Instead, they either show risk-seeking behavior (options a and b) or risk-neutrality (options c and f).

On the other hand, options d and e have utility functions f(x) = ln(x), g(x) = 1/(e^(2x)), h(x) = \(-x^2\) + 10,000x and f(x) = ln(-2x), g(x) = -1/(\(e^(^2^x^)\)), h(x) = \(x^2\) - 100,000x, respectively. These utility functions display concavity, indicating a decreasing marginal utility of wealth. Thus, options d and e can be considered risk-averse on the interval [a,b].

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