Rewrite the function after the Transformation(s). (Take the original function,
move it around, where do you land?)
6. Original Function: f(x) = x4 + 1
Transformation: Horizontal translation of 2 units right
New Function:

Answer: 10

Step-by-step explanation: The common denominator for these two

fractions is simply the least common multiple for the two denominators.

Since our denominators of 5 and 2 have no factors in common,

our least common denominator is 5 · 2 or 10.

Answer:

\(\frac{660}{15}\)

Step-by-step explanation:

The faction is also like a division problem since the fraction sign represents the numerator being divided by the denominator.

Total cost of the pencils is the number of pencils x the price per pencil:

4 x 0.30 = $1.20

Now add what you got back for change:

1.20 + 0.80 = 2.00

You gave the cashier $2.00

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

the first easy assignment for aii the students

the first day of school is go in to be in a while

Step-by-step explanation:

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

Options F and G are the correct answer.

We have,

The number of students in Henderson High School.

Work = 96

College = 114

Armed forced = 48

Other = 42

The number of students in Johnson High School.

Work = 30

College = 40

Armed forced = 15

Other = 15

From the information,

The number of students in Work for Henderson High School is greater than Johnson High School.

Now,

Henderson High School:

Armed force and other = 48 + 42 = 90

Mode = college

Johnson High School.

Armed force and other = 15 + 15 = 30

Mode = college

Thus,

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

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Answer: 1 \(\frac{1}{2}\)

Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2

hope it helps!!

the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).

In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).

In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.

To simplify a rational expression, follow these steps:

Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).

Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.

Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:

\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)

Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.

It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.

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Answer:

  0.34

Step-by-step explanation:

You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.

  area = 68%/2 = 34% = 0.34

__

Your calculator can tell you the same thing.

The area of a shape is the amount of space the shape can occupy.

The dimension that maximizes the design is 20 inches by 20 inches

From the question, we have:

\(Area = 392in^2\)

Let the length and width of the graphic (without the margin) be l and w.

So, the dimension of the whole graphic is:

\(L = l + 2 + 2 = l +4\)

\(W = w + 4 + 4 = w +8\)

The area is then calculated as:

\(Area = L \times W\)

\(Area = (l + 4) \times (w + 8)\)

Substitute \(Area = 392in^2\)

\(392 = (l + 4) \times (w + 8)\)

Make l + 4, the subject

\(l + 4 =\frac{392}{w + 8}\)

Subtract 4 from both sides

\(l =\frac{392}{w + 8} - 4\)

The area of the design is:

\(A= lw\)

So, we have:

\(A =(\frac{392}{w + 8} - 4)w\)

\(A =\frac{392w}{w + 8} - 4w\)

Plot the graph of \(A =\frac{392w}{w + 8} - 4w\)

From the graph (see attachment), the maximum is at:

\((w,A) = (20,200)\)

Substitute \((w,A) = (20,200)\) in \(A= lw\)

\(200 = l \times 20\)

Divide both sides by 20

\(l = 20\)

Hence, the dimension that maximizes the design (excluding the margin) is 20 inches by 20 inches

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Answer:

Triangle A: Acute

Triangle B: Obtuse

Triangle C: Acute

Triangle D: Right

Step-by-step explanation:

Acute angle: 0°-90°

Right angle: 90°

Obtuse angle: 90°-180°

An acute triangle only has acute angles. A right triangle has one right angle and two acute angles. An obtuse triangle has one obtuse angle and two acute angles.

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

Where a, b and c are constants.

Given the equation:

y = -4x² + 24x - 35

From the graph of y = -4x² + 24x - 35, the axis of symmetry of the parabola is at x = 3

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The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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The common ratio exists and has the value of 1.5 (3/2) because all ratios are the same.

Therefore, the correct option is c) r = 3/2

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Answer:

Island A=17 house

Island B= 13 house

Island C=23 house

Step-by-step explanation:

Island AB=30 house

Island AC=40 house

Island BC=36 house

Island ABC=53 house

53 - 30= 23 house which is the total of house on island c

53-40=13 house which is the Total of house on island b

53-36=17 house which is the Total of house on island A

Answer:

1

Step-by-step explanation:

mODE IS THE MOST FREQUENT NUMBER.

1 IS THE MOST FREQUEN NUMBER LOL

SORRY FOR CAPS, SOMETHING IS WRONG WITH MY COMPUTER

Answer: 1 is your answer hope this helped and i took a screen shot for ext help

plz make brainly

Step-by-step explanation:

Answer:B

Step-by-step explanation: looks like you got it right don’t second guess yourself.

Answer:

30yi terillion 9billion 8mil only

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

30 i think

Step-by-step explanation:

i dont know. Im sorry about that.

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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Answer:

(A ruler) = X  (a pen) = Y

y = x+10

Step-by-step explanation:

Answer:

A ruler cost x pence.

Pen costs 10 pence more than the ruler

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

Answer:

5w^3(5w^3 + 7)

Step-by-step explanation:

25w^6 + 35w^3

The GCF of 25 and 35 is 5.

The GCF of w^6 and w^3 is w^3.

We factor out a common factor of 5w^3 from both terms.

25w^6 + 35w^3 = 5w^3(5w^3 + 7)

Answer:

5w³(5w³ + 7)

Step-by-step explanation:

For this question, you basically have to do the reverse of distributive property, and divide the GCF's out.

So the coefficients of  25w⁶ + 35w³ both have a common factor of 5.

This would yield us: 5(5w⁶+ 7w³)

After that we can also factor out w³.

Therefore,

5w³(5w³ + 7).

To check this answer you just have to apply distributive property to see if it gives the same result as the question.

Hope this helps!

Answer:

3n-8

Explanation:

multiply n by 3 then subtract 8

Answer:

3 - 8 x n

Step-by-step explanation:

8 less than 3 -> 3 - 8

Times a number, n -> x n

Expression -> 3 - 8 x n

Answer:12 I believe

Step-by-step explanation: