What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, adding vertical compression by a factor of 7, and
shifting the graph up 3 units?
A)
g(x) = 2(x +
B)
+ 1)2+3
g(x) = } (x - 2)2 + 3
- 1 x + 2)2+3
g(x) =
D)
g(x) = 3(x + 2)2 + 1

Answer:

IQR for males: 3

IQR for females: 2

Q1 for males: 5

Q1 for females: 6

the number of females who spend over 6 hours exercising is greater(?) than the number of males who spent 6 hours exercising

Step-by-step explanation:

An equal amount of men and women were randomly selected and asked how many hours per week they spend excercising

to find IQR you have to identify your median(middle value) of the lower and upper half of the data. These are called quartile 1(Q1) and quartile 3(Q3). You subtract these two (Q3 and Q1) and the IQR is the difference.

Males box plot:

Minimum: 1

Maximum: 10

Q1: 5

Q2: 7

Q3: 8

Subtract Q3 and Q1

8 - 5 = 3

This is the IQR

Females box plot:

Minimum: 4

Maximum: 10

Q1: 6

Q2: 7

Q3: 8

Subtract Q3 and Q1

8 - 6 = 2

IQR =2

the number of females who spend over 6 hours exercising is greater than the number of males who spent 6 hours exercising

Answer:

44/7x

Step-by-step explanation:

circumference of circle= 2πr

=2×22/7×x

=44/7x

Recall following property of radicals:

Since 28 can be factorized as:

Use the property previoulsy mentioned to rewrite the square root of 28:

Therefore, the simplest radical form of the square root of 28, is:

Inequality for number line 1:  x ≤ -15

Inequality for number line 2:  ≥ 15

Inequality for number line 3: x ≥ 10

Inequality for number line 4: x ≤ -10

For the given number lines

We know that,

Inequalities specify the connection between two non-equal numbers. Equal does not imply inequality.

Typically, we use the "not equal symbol" to indicate that two values are not equal.

But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

For number line 1:

Since the line is starting from -15 and tending toward infinity of negative

So inequality be x ≤ -15

For number line 2:

Since the line is starting from 15 and tending toward infinity of positive

So inequality be x ≥ 15

For number line 3:

Since the line is starting from 10 and tending toward infinity of positive

So inequality be x ≥ 10

For number line 4:

Since the line is starting from 10 and tending toward infinity of positive

So inequality be x ≤ -10

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Answer:

Subracting = 1/15 .  Adding = 11/15

Step-by-step explanation:

Subtracting

2/5 - 1/3

The denominators must be the same, so convert both to 15

Multiply the denominator up to 15, along with using the same multiplier for the numerator

6/15 - 5/15 = 1/15

Adding

2/5 - 1/3

6/15 + 5/15 = 11/15

Answer:

0

Step-by-step explanation:

2x-6=2x+15

2x-2x=15+6

0x/0=21/0

x=0

Answer:

\({ \tt{y = 7 - 0.3x}} \\ \\ { \tt{ - 0.3x + 7 = y}} \\ \\ { \tt{ - 0.3x = y - 7}} \\ \\ { \tt{x = \frac{7 - y}{0.3} }} \\ \\ { \boxed{ \tt{ {x}^{ - 1} = \frac{10(7 - y)}{3} }}}\)

Answer:

m=-5, b=-3

Step-by-step explanation:

y intercept is -3 and slope -5

Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.

Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.

Two real-world examples of data triangulation are:

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Answer:

The value of x is 0.04.

Step-by-step explanation:

(180 x 5) - 23x - 15 = 540

x = 0.04

Answer:

hola amigo la respuesta es 678.80 espero que te ayude

Answer:

1/4x-7/4

Step-by-step explanation:

Answer:

x > 125

Step-by-step explanation:

Step 1:

x ÷ 25 > 5        Equation

Step 2:

x > 5 × 25      Multiply 25 on both sides

Answer:

x > 125

Hope This Helps :)

The domain of the given function is {x,y:y<-x²/2}. The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c. The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined.

Given function f(x,y) = ln(x² + 2y)

The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined. ln(x² + 2y) is defined only for x² + 2y > 0

Therefore, x² > -2y Or, y < -x²/2

Therefore, D = {(x, y) | y < -x²/2}

To find the range, let's solve for y

ln(x² + 2y) = k e^k = x² + 2y

2y = e^k - x² y = (e^k - x²)/2

Therefore, the range R = [0,∞)  

Let's find the level curves of the function f(x,y)

For any point (x, y) on the curve, f(x, y) = c where c is a constant. Thus, we have ln(x² + 2y) = cOr, x² + 2y = e^c

For c = 0, we have x² + 2y = 1, which is the level curve passing through the point (0, 1/2)

For c = 1, we have x² + 2y = e, which is the level curve passing through the point (0, (e-1)/2)

In general, x² + 2y = e^c is the level curve. Therefore, the domain of the given function is {x,y:y<-x²/2}.

The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c.

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Answer:

f )  x+72=90(complementary angle)

x= 90-72

x=18

g )x+77=90

x=90-77

x=13

plz give me thanks

Step-by-step explanation:

2/3  * 150  = 1/2  * ?

   100  =    1/2 * ?       Multiply both sides by 2 to get

    200 = ?

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

This simplified form still represents the original statement of "nine less than the quotient of a number and four, increased by three." So, the correct expression, after simplification, is (n/4) - 6.

The expression that correctly represents "nine less than the quotient of a number and four, increased by three" is:

(n/4) - 9 + 3

Let's break it down step by step:

"The quotient of a number and four" can be represented as n/4, where n is the number.

"Nine less than the quotient of a number and four" can be expressed as (n/4) - 9. This means subtracting 9 from the quotient.

"Increased by three" implies adding three to the previous expression. So, we add 3 to (n/4) - 9.

Therefore, the correct expression is (n/4) - 9 + 3. This expression captures the required operations: dividing a number by 4 to get the quotient, subtracting 9 from the quotient, and finally, adding 3 to the result.

To simplify the expression further, we can combine like terms:

(n/4) - 6

This simplified form still represents the original statement of "nine less than the quotient of a number and four, increased by three." It is equivalent to the previous expression but in a more compact form.

So, the correct expression, after simplification, is (n/4) - 6.

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Answer:

9

Step-by-step explanation:

9, this is because 3/8 × 24 = 9

If chuck earns additional 40,000 of taxable income, 23.52% the marginal tax rate on this income

Chuck, a single taxpayer, earns $76,000 in taxable income and $1 in interest from an investment in city of heflin bonds.

Tax on $76,000

4,617.5 + (76,000 - 40,125) * 22% = 12,510.0

Taxable income 76,000 + 40,000 = 116,000

Tax on $116,000  

14,605.5 + (116,000 - 85,525) * 24% = 21,919.5

Marginal tax rate

(21,919.5 - 12,510) / 40,000 = 23.52%

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Answer:

C

Step-by-step explanation:

-2x+6 \(\geq\)-4

     -6   -6

-2x \(\geq\)-10

divide both sides by -2

-2/2=-1

-10/2=-5

-5*-1=5

x\(\geq\)5

x is greater than 5 so the number should be larger than 5 or equal to 5.

The first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

According to the question,

We have the following two expressions:

X (Y + Z) = X.Y + X.Z

X(Y.Z) = (X.Y)Z = X.Y.Z

Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

For example, 2(5+7) is 2*5+2*7.

The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Hence, the first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

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According to the Boolean algebra, the first expression  X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and

The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

Boolean Algebra:

Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.

And there are three properties in Boolean algebra.

They are, Commutative, associative, and distributive properties.

Given,

Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.

Expression 1: X (Y + Z) = X.Y + X.Z

Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z

Here we need to find the name of the property used by the teacher on those two expression.

While we looking into the question,

We have the give the two expressions:

They are

=> X (Y + Z) = X.Y + X.Z

=> X(Y.Z) = (X.Y)Z = X.Y.Z

When we take the first expression,

X (Y + Z) = X.Y + X.Z

That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

Similarly, when we take the second expression

X(Y.Z) = (X.Y)Z = X.Y.Z

That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Therefore, the first expression  X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

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The mean (μ) is 8 and the standard deviation (σ) is approximately 1.2649 for the number of students who consider statistics to be an exciting subject.

To find the probability and the mean and standard deviation for the number of students who consider statistics to be an exciting subject, we can use the binomial distribution.

a) Probability that 4 students consider statistics to be an exciting subject:

Using the binomial probability formula, we have:

P(x = 4) = C(10, 4) * (0.8)^4 * (1 - 0.8)^(10 - 4)

Calculating the values:

C(10, 4) = 10! / (4! * (10 - 4)!) = 210

(0.8)^4 ≈ 0.4096

(1 - 0.8)^(10 - 4) = 0.2^6 = 0.000064

P(x = 4) ≈ 210 * 0.4096 * 0.000064

        ≈ 0.005505

Therefore, the probability that 4 students out of the 10 sampled consider statistics to be an exciting subject is approximately 0.005505.

b) Mean and standard deviation:

The mean (μ) of a binomial distribution is given by the formula:

μ = n * p

Substituting the values:

μ = 10 * 0.8

  = 8

The standard deviation (σ) of a binomial distribution is given by the formula:

σ = √(n * p * (1 - p))

Substituting the values:

σ = √(10 * 0.8 * (1 - 0.8))

  ≈ √(1.6)

  ≈ 1.2649

Therefore, the mean (μ) is 8 and the standard deviation (σ) is approximately 1.2649 for the number of students who consider statistics to be an exciting subject.

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The exponential form of the logarithmic equation is \(e^{(x)} = 3\).

The given equation is \( (x)=\ln (3) \) and we need to write the logarithmic equation in exponential form. Let's use the following rules to convert the logarithmic equation to exponential form:

\($$ \log_bx = y \\\iff b^y=x $$\)

The equation states that the logarithm base of b to x is equal to y. Taking b to the power of y is equal to x. Here, the natural logarithmic function is in use as given equation is \((x)=\ln (3)\).

\($$ (x)=\ln (3) \\\iff e^{(x)} = 3 $$\)

This exponential form of the logarithmic equation is \(e^{(x)} = 3\).

Therefore, the solution is e^(x) = 3.

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The value of x is 43.2

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

25/40 = 27/x

cross multiply.

25*x = 25x

40*27 = 1080

25x = 1080

divide by 25 both sides.

25/25 = 0

1080/25 = 43.2

x = 43.2

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