Which equivalent four-term polynomial can be created
using the X method?
O x2 + 8x + 8x + 48
O x? - 12x - 4x + 48
x2 + 12x + 4x + 48
Ox? - 8x - 8x + 48

Answer: u would have to use the slope intercept form which is m=y²-y¹/x²-x¹

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

I believe the ¨Five less than twice a number" is

\(2x-5\)

¨Five times the sum of two numbers¨

\(5(x+y)\)

¨The difference of 5 and a number squared¨

\((5-x)^{2}\)

Answer:

First Box is:  5 - 2x

Second Box is: 5(x + y)

Third Box is: (5 - x)²

Step-by-step explanation:

The First one said "Five less than twice a number"

The second one said "Five times the sum of two numbers"

The thrird one said "The difference of 5 and a number, squared"

All of these answers seems to fit the descriptions.

Answer:

234

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

Use LONG division

Answer:

First of all make me as branlist answer then I will surely send it

The frequency table for the lengths of the 25 earthworms is shown in the image attached below.

A frequency table is a type of table that is used to graphically represent the frequencies or relative frequencies associated with a categorical variable.

In this exercise, you're required to complete the frequency table for the lengths of the 25 earthworms as follows:

In conclusion, the frequency table for the lengths of the 25 earthworms is shown in the image attached below.

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\( \frac{2}{7} \div 6\)

\( \frac{2}{7} \times \frac{1}{6} \)

\( \frac{1}{7} \times \frac{1}{3} \)

\( \frac{1}{21} answer\)

Answer:

\( \purple{\frac{2}{7} \div 6}\)

\( \purple{\frac{2}{7} \times 6}\)

\( \purple{ \frac{2 \times 6}{7} }\)

\( \purple{ \frac{12}{7} }\)

Answer: Vegan student gets 9/5 cheese slices

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

Step-by-step explanation:

6 slices of Pepperoni + 3 slices of cheese = 9 slices total.  We need to divide the slices among 5 students, 1 is vegan.

9 divided by 5 = 1 and 4/5 slices or  9/5 slices.

The 9 slices make 45/5 slices.

3 slices of cheese = 15/5 slices.

6 slices of pepperoni = 30/5 slices.

Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

5/5=10/10, 1/2=5/10, 3/10  

10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.

Answer: it is going to be answer a

To simplify, we multiply each single one in the first bracket with both in the second bracket :

\((3x+1)(3x-5) = 9x^{2} -15x + 3x - 5\)

Answer:

k=0

Step-by-step explanation:

\(k+(2-5k)(6)=k+12\\k-30k+12=k+12\\12-12=29k+k\\0=30k\\k=0\)

Answer:

k=0

Step-by-step explanation:

Answer:

Let f(x) = x^3 -6x^2 +11x-8+K

by factor theorem, f(3)=0

27-54+33-8+K=0

K=2

hope that helps?

Step-by-step explanation:

a) By Pythagorean theorem, the value of variable x is equal to 10.2171 meters.

b) By trigonometric functions, the value of variable h is equal to 7.8620 meters.

Herein we have the representation of a geometric system formed by four right triangles, this formation has a known angle and a known side, and two unknown variables as well. The values of the variables can be found by means of trigonometric functions and Pythagorean theorem:

Trigonometric functions

sin 50° = h / x

h = 0.7660 · x

Pythagorean theorem

x² = L² + h²

8² = (0.25 · L)² + h²

64 = 0.0625 · L² + h²

Then, we eliminate L by equalizing second and third equations:

64 = 0.0625 · (x² - h²) + h²

64 = 0.0625 · x² + 0.9375 · h²

And by the first equation:

64 = 0.0625 · x² + 0.9375 · (0.7660 · x)²

64 = 0.0625 · x² + 0.5501 · x²

64 = 0.6126 · x²

8 = 0.783 · x

x = 10.2171 m

And the value of h is:

h = 0.7660 · (10.2171 m)

h = 7.826 m

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Answer:  b

Step-by-step explanation:

I think

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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Answer:

The equation in point-slope form is: y - 5 = 4(x - 2).

The equation in standard form is: 4x - y + 3 = 0.

Answer:

Standard form

4x - y = 3

Step-by-step explanation:

Point slope form of a line equation is:
y - y1 = m(x - x1)

where
(x1, y1) is a point on the line and m is the slope

The standard form of a line equation is:
Ax + Bc = C
where
A, B, C are integers

Slope Point Form

Given
(x1, y1) = (2, 5)
m = 4

The slope-point equation is
y - y1 = m(x - x1)

which is

y - 5 = 4(x - 2)

Expanding the bracket on the right side:
y - 5 = 4x  - 8

Move constant -5 to the right to become +5
y = 4x - 8 + 5 = 4x - 3

Move 4x to left becoming -4x

y - 4x = -3

or

-4x + y = -3

same as

4x - y = 3

This is the standard form with A = -4, B = 1 and C = 13

The given equation of a path of a firework is y= - 4.9(x-5)2 +124 where x is the time in seconds and y is the height in meters.

1. What is the maximum height of the firework The maximum height of the firework can be determined by finding the vertex of the equation which is given by ;Vertex form of a parabolic equation is y = a(x - h)² + k where;(h, k) = vertex of the parabola Comparing the equation of the path of the firework with the vertex form, we get ;h = 5k = 124a = -4.9Substituting the values into the vertex form, we get ;y = -4.9(x - 5)² + 124To get the maximum height, we find the y-coordinate of the verte x ;Y = -4.9(5 - 5)² + 124Y = 124mAnswer: 124m.

2. How many seconds does it take for the firework to reach maximum height?The time taken by the firework to reach maximum height is equal to half of the time taken to complete the whole journey. This is because the motion of the firework is symmetrical.

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Answer:

"Mrs. Lennox is the worst mother imaginable, and everybody knows it."

Step-by-step explanation:

The first one uses "described", therefore isn't a personal opinion.

The second uses quotations, so isn't a personal opinion.

The third doesn't have any sort of opinion or connotation.

Therefore it must be the last one.

Let me know if this helped by hitting like or brainliest! If not, please comment below and I'll get back to you ASAP.

Answer:

Step-by-step explanation:

1). WXYZ is a rectangle,

  Properties of a rectangle,

  i). Opposite sides are equal and parallel.

  ii). All interior angles measure 90°.

  iii). Diagonals are equal in measure.

a). WY = ZX = 30

 Therefore, ZT = \(\frac{1}{2}(ZX)\)

                    \(ZT=15\)

b). WY = ZX = 45

c). Since, WY = ZX,

    (4b - 16) = (3b + 5)

    4b - 3b = 16 + 5

     b = 21

2). GOAT is a rhombus and m∠OGA = 35°,

    a). m∠TGA = m∠OGA = 35°

    b). m∠GXO = 90°

    c). m∠GXT = 90°

    d). Since adjacent angles of a rhombus are supplementary,

         m∠OGT + m∠GTA = 180°

         70° + m∠GTA = 180°

         m∠GTA = 110°

         m∠GTO = \(\frac{1}{2}(m\angle GTA)\)

                        = \(\frac{1}{2}(110^{\circ})\)

                        = 55°

     e). Since, opposite angles of a rhombus are equal,

          m∠OGT = m∠OAT = 70°

     f). m∠GOA = m∠GTA = 110°

The surface area οf the larger sοlid is apprοximately 99 cm².

If twο sοlids are mathematically similar, then their cοrrespοnding dimensiοns are prοpοrtiοnal.

Let the dimensiοns οf the larger sοlid be k times that οf the smaller sοlid. Then, we have:

Vοlume οf smaller sοlid \(= (side length)^3 = 24 cm^3\)

Vοlume οf larger sοlid \(= k^3 * (side length)^3 = 81 cm^3\)

By dividing the secοnd equatiοn by the first, we get:

\(k^3 = 81/24 = 3.375\)

When we take the cube rοοt οf bοth sides, we get:

k ≈ 1.5

Sο, the dimensiοns οf the larger sοlid are 1.5 times that οf the smaller sοlid.

Let A just be the surface-area οf the smaller sοlid. Then, the surface area οf the larger sοlid is given by:

\(A' = (1.5)^2 * A = 2.25A\)

Substituting \(A = 44 cm^2\), we get:

\(A' = 2.25 * 44 cm^2 \approx 99 cm^2\)

Therefοre, the surface area οf the larger sοlid is apprοximately 99 cm².

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a. The Present value will be  $123.60 (15% nominal rate, semiannual compounding, discounted back 4 years). b. The Present value will be  $122.85 (15% nominal rate, quarterly compounding, discounted back 4 years. c. The Present value will be  $181.96 (15% nominal rate, monthly compounding, discounted back 1 year). d. The differences in the present values (PVs) occur due to the compounding frequency and discounting period.

To find the present value (PV) of $200 due in the future under different conditions, we need to use the formula for present value and consider the compounding frequency and discounting period.
a. 15% nominal rate, semiannual compounding, discounted back 4 years:
In this case, we use the formula PV = FV / (1 + (r/n))^(n*t), where FV is the future value, r is the nominal rate, n is the compounding frequency per year, and t is the number of years.
PV = $200 / (1 + (0.15/2))^(2*4)
PV = $200 / (1.075)⁸
PV = $123.60

b. 15% nominal rate, quarterly compounding, discounted back 4 years:
Using the same formula:
PV = $200 / (1 + (0.15/4))^(4*4)
PV = $200 / (1.0375)¹⁶
PV = $122.85

c. 15% nominal rate, monthly compounding, discounted back 1 year:
PV = $200 / (1 + (0.15/12))^(12*1)
PV = $200 / (1.0125)¹²
PV ≈ $181.96

d. The differences in the present values (PVs) occur due to the compounding frequency and discounting period. When compounding occurs more frequently, such as semiannually or quarterly, the PV decreases because the interest is added more frequently, reducing the impact of compounding. On the other hand, when the discounting period is longer, as in the case of 4 years versus 1 year, the PV decreases because the future value is being discounted over a longer time period.

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The statement "two proofs are required to establish the provable equivalence of two sentences of tfl" is false.

Only one proof is required to establish the provable equivalence of two sentences of TFL.

What is TFL? TFL (Truth-Functional Logic) is a form of propositional logic in which the only logical expressions are truth functions. Truth functions are built from a fixed set of truth-functional connectives or operators, each of which operates on one or more sentences to create a compound sentence. TFL's operators are all truth-functional; that is, the truth or falsity of a sentence depends solely on the truth or falsity of its atomic components and how they are combined by the operators.

Here are the five standard truth-functional operators in TFL:

Conjunction: AND (•)

Disjunction: OR (+)

Negation: NOT (~)

Conditional: IF...THEN (→)

Biconditional: IF AND ONLY IF (↔)

Proofs are used to demonstrate the validity of sentences in TFL. It is important to note that a sentence's validity is a property of the sentence itself, not the sentence's meaning. To demonstrate the validity of a sentence in TFL, proofs are created.In TFL, two sentences are provably equivalent if and only if they are logically equivalent. The provable equivalence of two sentences in TFL only requires one proof. Thus, the statement, "Two proofs are required to establish the provable equivalence of two sentences of TFL," is false.

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In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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Answer:

QUESTION 1

The given system of equation,

We simplify to get.

The correct answer is option A.

1.

A.) (4, −2)

2.

x = -7

y = 2

3.

x = 5

y = 14

QUESTION 2

The given system of equations is

and

We make y the subject in equation (2) to get,

We put equation (3) into equation (1) to obtain,

We group like terms to get,

This implies that,

we divide through by  to get,

Hence the x-coordinate is  

QUESTION 3

The given system is

and

We make  the subject in equation (2)

We put equation (3) into equation (1) to obtain,

We expand the bracket to get,

Group like terms to get,

We simplify to get;

This implies that,

Therefore the y-coordinate is 14.

Step-by-step explanation:

The equation of the line that passes through the points (4,0) and (0,4): y = -x + 4.

An equation can have one or more unknown variables, and the goal is often to find the values of these variables that make the equation true. Equations are used in many different areas of mathematics and science to describe relationships between quantities, to solve problems, and to model real-world phenomena.

Here,

To write the equation of a line in slope-intercept form, we need to use the formula:

y = mx + b

where m is the slope of the line and b is the y-intercept.

We can find the slope of the line using the coordinates (4,0) and (0,4):

m = (y₂ - y₁) / (x₂ - x₁)

= (4 - 0) / (0 - 4)

= -1

Now that we have the slope, we need to find the y-intercept. We can use either of the two given points to do this. Let's use (4,0):

0 = -1(4) + b

b = 4

So the y-intercept is 4.

Now we can write the equation of the line in slope-intercept form:

y = -x + 4

This is the equation of the line that passes through the points (4,0) and (0,4).

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We have the following for the exponential function f(x) = 3(0.5)x, Exponential decay is represented by the function, Point provides the function's y-intercept (0,3).

The mathematical formula f (x) = a x denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

Where the following parameters are described:

Since a represents the function's starting value, the y-intercept equals (0,3).

The function's rate of change, or b, determines whether it reflects exponential growth (r > 1) or exponential decay (r 1).

The exponential function's rule for this issue is provided by:.

\(y = 3(0.5)^x.\)

Consequently, the parameters are:

a = 3, b = 0.5.

Then: Given that |b| = 0.5 1, the function illustrates exponential decay.

Point (0,3) serves as the function's y-intercept since the value of the coefficient an is equal to 3.

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Answer:

x= 60

Step-by-step explanation:

Just substitute the value of y in the equation,

y=50x+2000

or, 5000=50x+2000

or, 50x= 3000

or, x = 3000/50

so, x = 60

I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Answer:

3

Step-by-step explanation:

4 x 3 = 12

12 - 1 = 11

Answer:

A≈842.53

:))))

Volume = side³

=> 1664 = side³

=> ³√1664 = side

=> 4 (³√26) = side

=> 4 (26^1/3) = side

Surface area = 6 side²

=> Surface area = 6 × [4 (26^1/3)]²

=> Surface area = 6 × 140.42 [approximately]

=> Surface area = 842.54 [approximately]