Let g(x) be the transformation of f(x) = IxI so that the vertex is at (-1, -3). Identify the rule for g(x) and its graph.

In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

2. Reflection over x-axis:

first write the coordinates

A (5,8)

B(9,8)

C(9,5)

D(5,5)

to rotate 90 degrees clockwise you must swap coordinates I mean change x for y and change the sign of the secon term or the new y

A(5,8)-->A'(8,-5)

B(9,8)-->B'(8,-9)

C(9,5)-->C'(5,-9)

D(5,5)-->D'(5,-5)

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function.

The set of ordered pairs is a function exists {(1, 5), (1, 6), (2,7), (3, 8)}.

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function. A function is defined by an equation that generates a set of ordered pairs. Each x value in a relation must have a unique value for the y value for it to be a function. if there are multiple y-values associated with an x-value.

Because no two ordered pairs have the same first coordinates with the same second coordinates, the initial set of ordered pairs is a function.

A relationship and a function vary in that a relationship can have multiple outputs for a single input, whereas a function only needs one input to produce one outcome. This is the fundamental criterion used to distinguish between relation and function. These model concepts are created through the usage of relations.

Therefore, the correct answer is option C. {(1, 5), (1, 6), (2,7), (3, 8)}.

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The time for the teacup to last is D. m = 3.5 minutes.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of minutes be m.

The amount of time is one minute more than twice the length of time for the teacup ride. This will be:

= (2 × m ) + 1 = 8

2m - 1 = 8

Collect like terms

2m = 8 - 1

2m = 7

Divide

m = 7/2

m = 3.5

The correct option is D.

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Answer:

d) m = 3.5 minutes

Step-by-step explanation:

Now we have to,

→ find the time the teacup ride last.

Forming the equation,

→ 2m + 1 = 8

Then the value of m will be,

→ 2m + 1 = 8

→ 2m = 8 - 1

→ m = 7/2

→ [ m = 3.5 min ]

Hence, ride lasts for 3.5 min.

The expression of  (√t)² ​is t.

A number can be squared, but it can also be divided into its square root. The value we get from multiplying a number by itself yields its square value, whereas the value we get from finding a number that, when squared, yields the original value of the number yields its square root value. In the event that 'a' is the square root of 'b,' then a a = b. Any number has two square roots, one with a positive value and the other with a negative value, because any number's square is always a positive number. As an illustration, the square root of 4 has the values 2 and -2. A number's power 1/2 value is represented by a number's square root. In other words.

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the ratio of zinc to copper is 3 to 14, that menas that for each 3 grams of zinc there are 14 grams of copper, so we can made a rule of three to find

The most appropriate choice for simple interest will be given by -

Amount obtained = $28.5

What is simple interest?

Simple interest is the interest earned on a certain principal at a certain rate over a certain period of time.

If principal is p, rate is r%, time is t years

Simple interest = [tex]\frac{p \times r \times t}{100}[/tex]

On adding principal and simple interest, we get amount.

Amount = Principal + Simple interest.

Principal = $15

Rate = 6%

Time = 15 years

Simple interest = [tex]\frac{15 \times 6 \times 15}{100}[/tex]

                         = $13.5

Amount obtained = $(15 + 13.5)

                             = $28.5

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Answer:

if you can't read my pic the answer is: p+r-s=q

Step-by-step explanation:

Answer:

f(x) = −(x − 2)^2 + 16

Step-by-step explanation:

See attached graph.

Answer:

C. 1/2

Hope this helps!

[tex]\boxed{\boldsymbol{\sf{5\frac{1}{3}\times4\frac{5}{6} }}}[/tex]

Multiply 5 and 3 to get 15.

[tex]\boxed{\boldsymbol{\sf{\dfrac{15+1}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Add \ [15+1]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Multiply \ [4*6+5]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{29}{6}\right) }}}[/tex]

Convert fractions prior to fractions with equal denominators.

[tex]\boxed{\boldsymbol{\sf{\frac{32}{6}-\dfrac{29}{6}=\frac{32-29}{6}=\frac{3}{6}=\dfrac{3\div3}{6\div3}=\frac{1}{2} }}}[/tex]

Answer:

y = (1/3)x - 2

Explanation:

First, we need to identify the slope of the equation 3x + y = 2, so we need to solve for x as:

Now, the number beside the variable x is the slope, so the slope is -3

Then, two lines are perpendicular if the product of both slopes is equal to -1. It means that the slope m for our equation should be:

Now, we can find the equation of the line using the following:

Where m is the slope and (x1, y1) is a point on the line. So, replacing my 1/3 and (x1, y1) by (3, -1), we get:

Therefore, the equation of the line is: y = (1/3)x - 2

Answer: the answer is c)The first equation should be multiplied by 7 and the second equation by -6.

Step-by-step explanation:edge 2022

Answer:

C

Step-by-step explanation: -6

Answer:

12.5 cups

Step-by-step explanation:

10/4 = 2.5

2.5 × 5 = 12.5

12.5 cups

Answer:

2 times 1/4 = 1/2 or 0.5

Step-by-step explanation:

Step 1: Setup

First of all, note that 2 is the same as 2/1 since 2 divided by 1 is 2. Therefore, start by setting up the problem like this:

2/1 x 1/4

Step 2: Multiply

Multiply the numerators together (2 x 1 = 2) and multiply the denominators together (1 x 4 = 4) and make it into one fraction like so:

2/4

Step 3: Minimize

The greatest common factor of 2 and 4 is 2. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get the answer as follows:

1/2

Organise the information in a table.

The interest rate at the bank = 2.324 %

Let X be the random variable representing the interest rate on a five-year certificate of deposit (cd) for banks in South Florida in 2018.

Then X follows the Normal Distribution with,

Mean, μ = 2.28 %  and,

Standard Deviation, σ = 0.37 %

We need to find the X at the 45th percentile.

45th percentile implies z-value = 0.45

The z-score at 45th percentile or 0.45 probability = -0.12 [From the z-tables]

We have, z = (x-μ)/σ

⇒ zσ = x-μ

⇒ x = zσ+μ

⇒ x = (0.12 x 0.37) + 2.28

      = 2.324

Hence the interest rate at the bank = 2.324 %

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On 4.98% of the policies, they will not have to pay a claim.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur. What are the chances of receiving a head, for instance, when we toss a coin in the air? The number of outcomes that could occur is the basis for the response to this question. The outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be 1 / 2 head.

λ = 3 per year

To avoid having to pay a claim for these tubes, we need to determine the likelihood that they will live longer than a year.

Given by: The likelihood of tubes lasting longer than a year is

P(x > 1) = e^-λ*x

P(x > 1) =  e³*¹ = 0.04978

Therefore, they won't be required to pay a claim on 4.98% of the policies.

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Answer:

slope = 50

Step-by-step explanation:

Equation of slope of line is

y = mx + b

where m = slope and b = y-intercept which is the y-value for the point at which the line crosses the y-axis

In the graph you can see that the line crosses at (0,0)

So y-intercept is 0

Equation is y = mx

To find m

take two points on the line and calculate rise/run

rise = difference in y-values

run = difference in x-values

Points(0,0) and 1, 50) lie on the line

rise = 50 - 0 = 50

run = 1-0 = 1

slope = 50 /1 = 50

Answer:

A. SSS

Step-by-step explanation:

Triangle ADT and triangle TDE are congruent triangles by SSS postulate.

Sides DE and DA, sides TE and TA are congruent (DT is common side).

So the answer is A. SSS

Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

Answer:

AAS

Step-by-step explanation:

Because of vertical angle theorem, angle rts and vtu are congruent. This means there are 2 congruent angles with a non-included side

The perpendicular linear equation that passes through (8, 2) is:

y = x - 6

A general linear equation is of the form:

y = m*x + b

Where m is the slope.

Two lines are perpendicular only if the product between the slopes is equal to -1.

Here we start with the line:

y = -x

So the slope is -1.

Then the slope of the perpendicular line m must be:

-1*m = -1

m = -1/-1 = 1

Then the perpendicular line is something like:

y = x + b

And we want this to pass through (8, 2), replacing these values we get:

2 = 8 + b

2 - 8 = b

-6  =b

The linear equation is:

y = x - 6

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Answer:

x= -8/41

y= 27/41

Step-by-step explanation:

7y=2x+5

3x+10y=6

maybe divide all parts of first equation by 7 to leave y by itself: y=2/7x+5/7

Then plug that in for y in the second equation:

3x+10(2/7x+5/7)=6

Then just solve for x:

x= -8/41

Substitute value of x into first equation:

7y=2(-8/41)+5

Solve for y:

y=27/41

In systems of equations, the values of x and y are -8 and 3, respectively.

Given systems of equations are:

7y=-2x+5 .....(i)

3x+10y=6 .....(ii)

We want both equations to be in standard form (Ax + By = C) so we need to fix the first equation.

For the equation (i), simply add 2x from both sides, so that x & y are on the same side of the equal sign

2x + 7y = 5 .....(i)

3x + 10y = 6 .....(ii)

To get the same x value in both equations (i) and (ii), we must now multiply equation (i) by 3 and equation (ii) by 2.

3(2x + 7y = 5) .....(i)

2(3x + 10y = 6) .....(ii)

Simplify.

6x + 21y = 15 .....(i)

6x + 20y = 12 .....(ii)

Now, subtract equations (ii) from (i)

y = 3

Now, substitute value of y = 3 in equation (i).

2x + 7y = 5 .....(i)

2x + 7(3) = 5

2x + 21 = 5

Then, subtract 21 from both sides.

2x + 21 - 21  = 5 - 21

2x = - 16

Divide both sides by 2.

2x / 2 = - 16 / 2

x = -8

So, x = -8 & y = 3

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[tex] \frac{ - 1(15 + 4 - 27)}{16} \\ = \frac{ - 1(19- 27)}{16} \\ = \frac{ - 1( - 8)}{16} \\ = \frac{8}{16} \\ = 0.5[/tex]

ATTACHED IS THE SOLUTION

Answer:

= - 19 + 16^27

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

The 1-week growth factor for the mass of the bacteria is 1 + (229%*1).

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is (3.29)^(1/7).

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The new 1-week growth factor for the mass of the bacteria is 1 + (453%*1).

The new 1-week growth factor for the mass of the bacteria is 5.53.

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is (5.53)^(1/7).

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 1.277.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

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The given statement is true.

What is variables?

In statistical modelling, experimental sciences, and mathematical modelling, there are dependent and independent variables. Dependent variables are so named because they are researched in an experiment under the assumption or requirement that they are dependent on the values of other variables according to some rule or law.

The given statement is true.

It does not matter whether we average the data across every month or every year as long as the variables are the same; the correlation will remain the same. Since the correlation coefficient r is a unitless metric, the time variable has no effect on it.

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Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

SOLUTION

Carrie's credit card was stolen, she was charged $ 2,000

Hence carrier's is responsible for paying $2,000