f(x) =4x2 + 8x -5 factor completely

Answer:

Step-by-step explanation:

hello :

(4a) × (3b)​ =12ab

The solution set that represent the solution to the inequality is (16,+infinity)

The mathematical representation of the statement given is expressed as shown below;

4 1/2 x - 9 1/2 >62.5

Convert to improper fraction to have:

9/2 x - 19/2 > 62.5

Find the LCM

9x-19/2 > 62.5

9x-19 > 125

9x > 125 + 19

9x > 144

x > 16

Hence the solution set that represent the solution to the inequality is (16,+infinity)

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Answer:

Greetings!

The answer for the first figure is attached but the second diagram is not clear.

Also use the image i attached horizontally.

and also it TD subject not Mathematics.

[tex]r = 3sec( \alpha ) \\ r = \frac{3}{cos( \alpha )} [/tex]

[tex]x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = \frac{x}{r} [/tex]

[tex]r = \frac{3}{ \frac{x}{r} } \\ r = \frac{3r}{x} \: \: \: \: \: \: x = 3 \\ line[/tex]

Answer: option (2)

Step-by-step explanation:

The slanted line has a negative slope.

Also, the line is shaded below.

This leaves option (2) as the correct answer.

Answer:

l dont know l am not studying it sorry

Answer:

hey what was the answer?

Step-by-step explanation:

I need help im going to failllll!!!!!!

The retailer would remit $4,900 to the vendor on July 13.

What is invoice date?

The invoice date is the date written on this which is the same as the date the goods were shipped to customer, in this case, invoice date  is July 1.

Invoice receipt date?

This is the date the customer received the invoice as well as the goods sent by the vendor, which is July 4 in this case.

2/10 means that a discount of 2% is available if the customer pays within the first 10 days, which starts counting from July 4, not July 1, because the customer actually received the invoice on July 4.

From July 4 to July 13 is a period of 10 days, which means that the 2% cash discount that customer would be entitled if payment is made within the first 10 days is still available

discount=2%*$5000

discount=$100

The retailer would remit the invoice price of $5,000 minus the discount.

amount remitted=$5000-$100

amount remitted=$4,900

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The geometric center of the graph under the function is 5/3

The equation of the function is given as:

f(x) = 3 - |x - 2|

The interval is given as:

x ∈ [0, 3]

The geometric center (gc) of the graph under the function is calculated using

gc = ∫x f(x) dx/∫f(x) dx

Substitute the known values in the above equation

gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx

Integrate the numerator and the denominator of the above equation

gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]

Recall that the interval is given as x ∈ [0, 3]

Substitute the interval values in the above equation.

The equation is then simplified using a graphing calculator.

So, we have

gc = (65/6)/(13/2)

Express the quotient expression as a product

gc = (65/6) * (2/13)

Divide 65 by 13

gc = 5/6 * 2

Divide 2 by 6

gc = 5/3

Hence, the geometric center of the graph under the function is 5/3

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The magnitude of an earthquake releasing 2.5 * 10¹⁵ Joules of energy is 7.33

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

Given that:

M = (2/3) * log (E/E₀)

Where M is the magnitude, E is the amount of energy and E₀ = 10^4..4

For E = 2.5 * 10¹⁵:

M = (2/3) * log (2.5 * 10¹⁵/10^4.4)

M = 7.33

The magnitude of an earthquake releasing 2.5 * 10¹⁵ Joules of energy is 7.33

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Answer:

5:8

Step-by-step explanation:

Nichole sold 15 while Andrew sold 24, so the ratio is 15:24. Simplify the ratio by dividing both sides by 3, and we’ll get 5:8.

The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

From the question, we are to divide the given polynomial P(x) by the divisor d(x)

From the given information,

P(x) = x³ + 8

d(x) = x + 2

The division operation is shown in the attachment below.

The quotient, Q(x) = x² -2x + 4

and the remainder, R(x) = 0

We area to express P(x) in the form

P(x) = d(x).Q(x) + R(x)

Thus, we get

x³ + 8 = (x+2)(x² -2x + 4) + 0

Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

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Answer: for the factor one: The expression isn't factorable with rational numbers

Step-by-step explanation: Since the polynomial can be factored it isn't prime (i don't know if that is what you meant or not but I hope this helps and I got all of them correct )

Answer:

No

Step-by-step explanation:

This table does not represent a function. The domain(x) can have only one range(y) in order for a set of data to represent a function. However, the domain value 2 has the range of both 1 and 4. Therefore, the table does not represent a function.

The function that represents the given trigonometric graph is; f(x) = cos (x)

From the given trigonometric Graph, we can see the following;

When x = 0, y = 1

When x = π/2, y = 0

When x = π, y = -1

When x = 2π, y = 1

Now, according to trigonometric functions in radians, we know that;

cos 0 = 1

cos  π/2 = 0

cos  π = -1

cos  2π = 1

These values correspond with what we have in the given trigonometric graph and as such we can say that the function that is graphed is;

f(x) = cos (x)

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The measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

For the parallelogram ABCD, it can be deduced that

Line AB and CD are parallel and AD is a transversal so the angles A and D is co-interior , Co-interior angles are said to be supplementary whose sum is 180 degrees

A + D = 180°

30° + D = 180°

D = 180° - 30°

D = 150°

Perimeter = 2 ( a + b)

a = 16cm, b = 25cm

Perimeter = 2 (  16 + 25) = 2 ( 41)

Perimeter = 82 cm

Area = b × h

base = 25cm , h = 8cm

Area = 25 × 8

Area = 200 square centimeters

Thus, the measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

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Answer:

9 3/5

Step-by-step explanation:

2+6+-4 4/5 ÷ -3

PEMDAS! First is multiplicationSo, solve the bold

2+6+ -4  4/5 ÷ -3

So,

2+6+ 1 3/5

Next is Addition(IN ORDER OF THE EQUATION), So solve the bold,

2+6+ 1 3/5

So, the answer is

9 3/5

Using conditional probability, it is found that:

[tex]P(A|B^\prime) = \frac{1}{3}[/tex]

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

For this problem, we are given that:

Then:

[tex]P(A|B^\prime) = \frac{P(A \cap B^\prime)}{P(B^\prime)}[/tex]

[tex]P(A|B^\prime) = \frac{\frac{2}{9}}{\frac{2}{3}}[/tex]

[tex]P(A|B^\prime) = \frac{1}{3}[/tex]

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Answer: 13 inches by 2 inches

Step-by-step explanation:

26 can be made by:

1 x 26

2 x 13

There are only 2 possibilities for the dimensions.

2 x 3 + 7 is 13, which fits the requirements.

Which means, the length is 13 and the width is 2.

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

= 27

= -12 -15

= -27

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

B. 2√3+4

Step-by-step explanation:

3√3+4−√3

=2√3+4 (Decimal: 7.464102)

Answer:

Assume you are working with a standard deck of 52 cards. There are 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace) in each of four suits

and spades).

What is P(Jack Heart) if you draw one card? 13

The area of the circular manufactured good is given by:

[tex]A = 1.8146 \times 10^{16} \text{m}^2[/tex]

The area of a circle of radius r is:

[tex]A = \pi r^2[/tex].

In this problem, the radius in meters is:

[tex]r = 7.6 \times 10^7[/tex]

Hence the area in m² is:

[tex]A = \pi (7.6 \times 10^7)^2 = 181.46 \times 10^{14} = 1.8146 \times 10^{16} \text{m}^2[/tex]

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Using the given linear equation, we conclude that you can invite a maximum number of 21 guests.

Here the function is:

C(p) = 325 + 15*p

Where p is the number of guests minus 10, now we know that your budget is $600, then the maximum value of guests allowed is such that:

C(p) = 600 = 325 + 15*p

Now we can solve this equation for p:

600 - 325 = 15*p

275 = 15*p

175/15 = p = 11.67

Then the maximum whole number that p can take is p = 11

This means that the maximum number of guest that you can have is:

Guests = 10 + p = 10 + 11 = 21.

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Answer:

D = 50t

Step-by-step explanation:

we see, with every additional hour the distance increases by 50.

that means in general that the number of hours are multiplied by 50 to get the distance.

in other words, this just calculates for a vehicle going constantly 50 miles per hour the distance it is traveling.

Answer: 0

Step-by-step explanation:

[tex]125x^3 =0\\\\x^3 =0\\\\x=0[/tex]

The 50 mile distance traveled downstream and back that takes 2 hours and 5 hours respectively gives;

Let v represent the speed of the boat and let u represent the speed of the river current.

Distance the boat travels downstream = 50 miles

Time taken to travel downstream by the boat = 2 hours

Time taken to travel back upstream = 5 hours

[tex]velocity = \frac{distance}{time} [/tex]

Therefore;

Which gives;

[tex]v + u = \frac{50}{2} = 25...(1)[/tex]

[tex]v - u = \frac{50}{5} = 10...(2)[/tex]

Adding equation (1) to equation (2) gives;

(v + u) + (v - u) = 2•v = 25 + 10 = 35

2•v = 35

v = 35 ÷ 2 = 17.5

u = 25 - v

Which gives;

u = 25 - 17.5 = 7.5

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Using the given regression line, it is found that the amount of loss in inventory will be of $159.39.

The regression line is:

Y = 86.43 - 38.47X

In which:

In this problem, we have that X = $6.39, hence:

Y = 86.43 - 38.47 x 6.39 = -$159.39.

The amount of loss in inventory will be of $159.39.

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The percent of students that preferred alternative ​music is 23.7%

The music type and the preference are given as:

Music Preferences

Rap            945

Alternative 462

Rock and Roll 275

Country         168

Jazz              15

Other          85

From the above table, we have:

Alternative = 462

Total = 945 + 462 + 275 + 168 + 15 + 85

Total = 1950

The percentage is then calculated as:

Percentage = Alternative/Total * 100%

This gives

Percentage = 462/1950 * 100%

Evaluate

Percentage = 23.7%

Hence, the percent of students that preferred alternative ​music is 23.7%

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The present value of the nominal rate of the annuity will be $535.

Annuity amount = 20

Number of annuities = 32

APR = 16%

PV of annuities = 357

Number of years to perpetuity = 8

Quarterly perpetuity = 25

PV of perpetuity at 9th year = 625

PV of perpetuity today = 178

Total PV = 357 + 178 = 535

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