What is (f−g)(x)?



f(x)=x^3−3x^2+2x−3

g(x)=4x^2−5x+7



Enter your answer in the box.

(f−g)(x)=

Step-by-step explanation:

[tex]4 {x}^{2} -5x-6=0 [/tex]

Solve using quadratic formula

Solution:

We know that

[tex] \rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^{2} - 4(ac) } }{2a} [/tex]

ATQ,here,

Substitute the values into the quadratic formula.

[tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]

[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]

[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]

[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]

[tex]\boxed{x = 2}[/tex]

OR

[tex]x = \boxed{- \cfrac{3}{4}} [/tex]

Answer:

108 1/3 hours

Step-by-step explanation:

There are 60 minutes in 1 hours.

40 words/minute × 60 = 2400 words/hour

2.6 × 10^5 / 2400 = 108.3333... = 108 1/3

Answer 108 1/3 hours

Answer:

You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:

1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?

2. What role does creativity play in "The Bat-Poet"?

3. How does the character of Squeaky change over the course of "Raymond's Run"?

4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.

You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.

• Submit completed pre-writing and outline documents.

• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.

• Use transitions appropriate to the pattern of organization.

• Use vocabulary to create tone and voice.

• Cite primary source (quotation).

• Submit completed revision checklist.

• Vary sentence structure.

• Create sentences with parallel structures.

• Use technology in the writing process.

Step-by-step explanation:

610

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the number of combinations of 3 playing cards from a standard 52-card deck, we can use the formula for combinations, which is given by:

C(n, k) = n! / (k!(n-k)!)

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

C(52, 3) = 52! / (3!(52-3)!)

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

3! = 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

C(52, 3) = 52 x 51 x 50 / (3 x 2 x 1)

Cancelling out the common factors:

C(52, 3) = (52 x 17 x 25) / (3 x 2 x 1)

C(52, 3) = 22,100

Therefore, there are 22,100 combinations of 3 playing cards that can be chosen from a 52-card deck.

Answer:

I believe the answer is 240

Answer:

h(x) = 1/4 x

Step-by-step explanation:

h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Answer:

Multiplying 10 by pi will produce an irrational number.

Step-by-step explanation:

10 and 10 are both rational, 10 and 10.5 are both rational, 10 and √4 are both rational (I researched to double check), leaving 10 rational and 3π irrational, meaning that the answer is B 3π.

Answer:

No

Step-by-step explanation:

Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.

Answer:

false

Step-by-step explanation:

Answer:

The value of x is 5x that the value of X in my oppion.

Step-by-step explanation:

The sides of the triangle are (d) 12√2, 12√2, 24

The given parameters are:

In a 45-45-90 degree angle triangle, we have:

Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2

This means that:

Opposite =Adjacent

So, we have:

24 = Adjacent√2

Divide both sides by √2

Adjacent = 24/√2

Evaluate

Adjacent = 12√2

This means that:

Opposite = 12√2

Hence, the sides of the triangle are (d) 12√2, 12√2, 24

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y-1=\stackrel{\stackrel{m}{\downarrow }}{2}(x-4)\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line with a slope of 2 and that it passes through (4 , 1)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4})[/tex]

kinda twins.

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.

This is known to be when there is no electrical power due to unforeseen reasons.

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.

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Answer:

5.04 seconds

Step-by-step explanation:

According to the graph :

Observe the end points on x axis of the parabola

They are

Time is x axis

So total time

#1

Yes

#2

No

#3

No

#4

No

Answer:

(-14, 12) and (5, 12)

Step-by-step explanation:

From inspection of the points given, we can see that all pairs of points share the same y-values.

Therefore, each pair of points are on the same horizontal line.

To find the distance between the points, simply find the difference between the x-values.

Given points:  (-14, 12) and (5, 12)

⇒ Difference between x-values = 5 - (-14) = 19 units

Given points:  (-5, 19) and (12, 19)

⇒ Difference between x-values = 12 - (-5) = 17 units

Given points:  (-20, 5) and (1, 5)

⇒ Difference between x-values = -20 - 1 = -21 = 21 units

Given points:  (14, 12) and (5, 12)

⇒ Difference between x-values = 14 - 5 = 9 units

Answer:

  B: 610; A: 202,000

  D: 253; C: 2,007,000

Step-by-step explanation:

These are all expressions that can be calculated as is, or that can be simplified a little bit by taking advantage of the distributive property and other properties of addition and multiplication. The idea is to look for numbers that show up more than once, and rearrange the expression so they only show up once.

__

This is a straight addition problem. The two "176" values have opposite signs, so cancel when they are added. Using the associative and commutative properties of addition, we can rearrange this to ...

   597 +13 +(-176 +176)

  = 597 +13

This can further be rearranged to ...

  = (597 +3) +(13 -3)

  = 600 +10

  = 610

__

The factor 2020 can be put outside parentheses using the distributive property:

  = 2020(173 -73)

  = 2020×100

  = 202,000

__

The value 15 is repeated. Terms using it can be combined using the distributive property.

  = 15(17 -1) +13

  = 15(16) +13

  = 240 +13

  = 253

Another way to look at this one is to use the factoring of the difference of squares.

  = (16 +1)(16 -1) +(-15 +13)

  = 16² -1² +(-2)

  = 256 -3

  = 253

__

Again, we can focus on rearranging so 2019 only needs to show up once.

  = 2019(890 +110) -12000

  = 2019×1000 -12×1000

  = (2019 -12)×1000

  = 2,007,000

The complete question is

" Work out the surface area of this cylinder if the diameter of the cylinder is 8 cm and height is 16.8 cm."

The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.

The surface area of the cylinder of the radius of the base r and the height h,

A = 2πr ( r + h)

We have been given as

diameter = 8 cm

Height = 16.8cm

The radius = 8/2 = 4cm

The surface area of the cylinder

A = 2πr ( r + h)

A = 2 x 3.14 x 4 ( 4 + 16.8)

A = 25.12 (21.8)

A = 547.616 cm sq.

Hence, The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.

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Answer:

your answer is 9 large binders

The equation of the function is f(x) = -5x + 10

The points are given as:

x-intercept at (2,0) and a y-intercept at (0,10)

A linear function is represented as:

y = mx + b

Where b is the y-intercept.

The y-intercept at (0,10) means that:

b = 10

So, we have:

y = mx + 10

The x-intercept at (2,0) means that:

x = 2, when y = 0

Substitute these values in y = mx + 10

0 = 2m + 10

Subtract 10 from both sides

2m = -10

Divide both sides by 2

m = -5

Substitute m = -5 in y = mx + 10

y = -5x + 10

Hence, the equation of the function is y = -5x + 10

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A function, f, with an x-intercept at (2,0) and a y-intercept at (0, 10) has an equation y = -5x + 10

The equation of a line in slope intercept form is expressed as y =x +b

where

Given a function, f, has an x-intercept at (2,0) and a y-intercept at (0, 10), the slope is expressed as:

Slope = 10/-2
Slope = -5

Substitute m = -5 and b = 10 into the formula to have y = -5x + 10

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Answer:

8626

Step-by-step explanation:

use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting

Answer: 8,626

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition  

Subtraction

Multiplication comes first:

2+ (7x1232)

Next, addition:

2+8624

8626

Hope this helps :)) Brainliest would be appreciated :D

Answer:

2√3

√2

x

√x-1

are the answers

Answer: the on to the bottom left

Step-by-step explanation: c would be right because you have a positive slope

Answer: 5

Step-by-step explanation:

Since [tex]\overline{GH} \parallel \overline{DE}[/tex], by the corresponding angles theorem, [tex]\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED[/tex]. This means [tex]\triangle FGH \sim \triangle FDE[/tex] by AA.

As corresponding sides of similar triangles are proportional,

[tex]\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5[/tex]
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is 5

Answer:

From the given data:

[tex]\large\begin{array}{| c | c | c |}\cline{1-3} \sf No.\:of\:red\:dresses & \sf Tally & \sf Frequency\\\cline{1-3} 1 & \sf llll & 4 \\\cline{1-3} 2 & \sf llll & 4 \\\cline{1-3} 3 & \sf llll & 4 \\\cline{1-3} 4 & \sf ll & 2 \\\cline{1-3} 5 & \sf ll & 2 \\\cline{1-3} 6 & \sf l & 1 \\\cline{1-3} 7 & \sf l & 1 \\\cline{1-3} 8 & \sf ll & 2 \\\cline{1-3} 9 & \sf l & 1 \\ \cline{1-3}\end{array}[/tex]

More than half of the students own the least number of red dresses, so the data is positively skewed (skewed to the right).

As the number of red dresses owned increases, the number of students owning this number of red dresses generally decreases.

Based on the tables given and the functions represented, the two functions that are inverses of each other are Tables 3 and 4.

When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.

For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).

The functions that are inverses are therefore Tables 3 and 4 as shown attached.

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The compositions R090 °ry and ry ° R090 are not equivalent

The compositions are given as:

R090 °ry and ry ° R090

The transformation R090 °ry means a rotation of 90 degrees followed by a reflection across the y-axis

i.e.

(x, y) => (y, -x) => (-y, -x)

The transformation ry ° R090 means a reflection across the y-axis followed by a rotation of 90 degrees

(x, y) => (-x,y) => (y,x)

See that the end results of both transformations are not the same

Hence, the compositions R090 °ry and ry ° R090 are not the same

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Answer:

Domain: x < 5

Range: all numbers, -∞, ∞

This is because the problem will be able to be solved with multiple solutions as long as there are no specific values assigned to x. The problem will have a solution from a range of negative infinity to infinity, meaning every number or solution you can think of.

Answer:

0.55 hope it will help you