g(x) = x² – 3x
h(x)=x+ 5
Find (g- h)(x)

Answer:

4

Step-by-step explanation:

2 times 2 = 4

tell me if i did it right

Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Answer:

Hello!

Step-by-step explanation:

What did the thief get for stealing the calendar?

Here is a riddle

Answer: $80

Step-by-step explanation:

30% = 0.30

$80 x 0.30 = $24

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

Answer:

P=4/250=0.016

nearest tenth=0.02

1.6%

The probability value for the normal distribution is between 0 and 1 that is 0<Pr<0.3413

First, we need to get the z-value for both x-values

The formula for calculating the z-score is expressed as:

\(z=\frac{x-\mu}{\sigma}\)

If x = 36.3

\(z=\frac{36.3-36.3}{0.5}\\z=\frac{0}{0.5}\\z=0\)

Similarly, if x = 36.8

\(z=\frac{36.8-36.3}{0.5}\\z=\frac{0.5}{0.5}\\z=1.0\)

This shows that the z-value for the normal distribution is between 0 and 1 that is 0<z<1

The probability value for the normal distribution is between 0 and 1 that is 0<Pr<0.3413

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The total number of ships on both days 2x + 5

The total in all the 5 days is 7x +2

From the given table;

The total number of ships on both days = x - 4 + x + 9

The total number of ships on both days 2x + 5

b) To get the total for all the days;

Total for all days = 2x + 5 + 2x + 3x - 7 + 4

Total for all days = 7x + 2

Hence the total in all the 5 days is 7x +2

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Answer:

\(Vertex = (\frac{1}{2},\frac{7}{4})\)

Step-by-step explanation:

Given

\(f(x) = x^2 - x +2\)

Required

The vertex

We have:

\(f(x) = x^2 - x +2\)

First, we express the equation as:

\(f(x) = a(x - h)^2 +k\)

Where

\(Vertex = (h,k)\)

So, we have:

\(f(x) = x^2 - x +2\)

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

\(f(x) = x^2 - x +2\)

\(f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2\)

\(f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}\)

Expand

\(f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}\)

Factorize

\(f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}\)

Factor out x - 1/2

\(f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}\)

\(f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}\)

\(f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}\)

\(f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}\)

Compare to: \(f(x) = a(x - h)^2 +k\)

\(h = \frac{1}{2}\)

\(k = \frac{7}{4}\)

Hence:

\(Vertex = (\frac{1}{2},\frac{7}{4})\)

Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

Answer:  A or 1/2 , 7/4

Step-by-step explanation:

did it on an assignment on EDGE

Answer:

43.6 has 3 significant figures.

Answer:

Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.

Step-by-step explanation:

For a binomial distribution, condition required include :

A fixed number of trials ; Here the number of trials is 20 ; hence, this condition is met.

Each trial must be independent : yes, it is independent as a selected individual could either be a binge drinker or not. The outcome of each trial is either a success or a failure ; being a drinker or not.

However, the probability of being a binge drinker (that is probability of success) could vary for male and female. The probability of male being a binge drinker is 0.21 while that if female isn't specified, this probability, p value should be the same for all trials. Hence, with this value not being the same for all trials, the binomial probability condition is violated.

Answer:

29

Step-by-step explanation:

Answer:

n=29sides

sum of interior angle of polygon=(n-2)180=(29-2)180=27×180=4860°

Step-by-step explanation:

Hypotenuse² = (Leg 1)² + (Leg 2)²

= (8)² + (15)² = 289

Hence the hypotenuse is 17cm.

The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

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The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

690

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

bc

Answer:

1 liter

Step-by-step explanation:

x2by 100%8hdofux27675 868*uhf

Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.

To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:

Present Value = Future Value / (1 + (Interest Rate × Time))

In this case:

Future Value = $4500

Interest Rate = 7.0%

= 0.07

Time = 5 years

Substituting these values into the formula:

Present Value = $4500 / (1 + (0.07 × 5))

Present Value = $4500 / (1 + 0.35)

Present Value = $4500 / 1.35

Present Value ≈ $3333.33

You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:

Future Value / (1 + (Interest Rate Time)) = Present Value

In this instance

$4500 is the future value.

Rate of Interest = 7.0% = 0.07

t = 5 years

Substituting these values into the formula:

$4500 / (1 + (0.07 5)) = Present Value

$4500 / (1 + 0.35) equals the present value.

Present Value = $4500 / 1.35

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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33

Using the formula for calculating the future value of a single sum:

Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)

We rearrange the formula to solve for the present value (PV):

PV = FV / (1 + Interest Rate * Time)

Plugging in the given values:

FV = $4500

Interest Rate = 7.0% = 0.07

Time = 5 years

PV = $4500 / (1 + 0.07 * 5)

PV = $4500 / (1 + 0.35)

PV = $4500 / 1.35

PV ≈ $3333.33

Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).

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To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

14.387

Step-by-step explanation:

Jamare has 23/5 pounds of gummy bears left after giving 1 2/5 pounds to his sister. This can also be written as a mixed number: 4 3/5 pounds of gummy bears.

What is the fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing a numerator(upper value) and denominator(lower value).

If Jamare gave 1 2/5 pounds of gummy bears to his sister, he now has 6 - 1 2/5 pounds of gummy bears left.

To subtract the mixed number 1 2/5 from 6, we first need to convert the mixed number to an improper fraction.

To do this, we multiply the whole number (1) by the denominator (5) and add the numerator (2) to get 7. Then we put this over the denominator to get 7/5.

So, 1 2/5 = 7/5.

Now we can subtract 7/5 from 6 as follows:

6 - 7/5 = 30/5 - 7/5 = 23/5

Therefore, Jamare has 23/5 pounds of gummy bears left after giving 1 2/5 pounds to his sister. This can also be written as a mixed number: 4 3/5 pounds of gummy bears.

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The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

Answer:

y=1/9x-5/9

Step-by-step explanation:

just use slope intercept to find the slope then point slope form to find the line

The area of a rectangle ABCD is 60 square inches and the area of triangle ACD is 30 square inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

In the given rectangle ABCD, AD= 5 in. and DC=12 in.

a) Now, area of rectangle ABCD =DC×AD

= 12×5

= 60 square inches

b) By joining vertices A and C, we get triangle ACD.

c) Now, the area of triangle ADC is

Area =1/2 ×Base×Height

= 1/2 ×12×5

= 30 square inches

Therefore, the area of a rectangle ABCD is 60 square inches.

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The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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Answer: f(2) = 14

Step-by-step explanation:

      This question is asking us to solve the function for 2. We will input x = 2 into all the x-values, and solve.

f(x) = 5x + 4

f(2) = 5(2) + 4

f(2) = 10 + 4

f(2) = 14

Answer:

10^4

Step-by-step explanation:

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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Answer:

It's either 108 or 54, the area is 54 in^2 and the volume of the frame is 108^3

Step-by-step explanation:

Volume (if that is what its asking) would be 54 in^2