5+x^2-7x in standard form

Answer:

3/20

Step-by-step explanation:

Set up the quotient:

6!3!

------

2!5!

6! is equivalent to 6*5!, and so we have:

 6*5!3!                                     6*5!3!             6*3*2*1                   6

------------   which reduces to -------------  or  -------------------  or  ------------

   2!5!                                         2!5!              2*5*4*3*2*1          (2)*5*4  

                                                                  3

This final result simplifies further to ---------------

                                                                  20

Answer:

The answer is A 1 4/5

Work:

7 1/5- 6 2/5

turn 7 1/5 into 6 6/5 and now subtract the two fractions

6/5-2/5= 4/5

now subtract the whole numbers:

6-6=1

So, your answer should be 4/5 (A)

Answer:

32

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

32

---

hope it helps

Answer:

14+6×(9-6)=32

Answer:

Amount paid by insurance company = $6,200

Step-by-step explanation:

Given:

Total cost of car damage = $7,200

Amount deductible = $1,000

Find:

Amount paid by insurance company for total damage

Computation:

Amount paid by insurance company = Total cost of car damage - Amount deductible

Amount paid by insurance company = $7,200 - $1,000

Amount paid by insurance company for total damage = $6,200

Answer:

Step-by-step explanation:

To prove that the sum of the first n even +ve integers is:

[tex]\mathsf{2+4+6+8+ . . . +2n = n^2+ n }[/tex]

By using mathematical induction;

For n = 1, we get:

2n = 2 × 1 = 2

2 = 1² + 1 ----- (1)

∴ the outcome is true if n = 1

However, let assume that the result is also true for n = k

Now, [tex]\mathsf{2+4+6+8+. . .+2k = k^2 + k --- (2)}[/tex]

[tex]\mathsf{2+4+6+8+. . .+2k+2(k+1)}[/tex]

we can now say:

[tex]\mathsf{= (k^2 + k) + 2(k + 1)} \\ \\ \mathsf{= k^2 + k + 2k + 1}[/tex]

[tex]\mathsf{= (k^2 + 2k + 1) + (k + 1)}[/tex]

[tex]\mathsf{= (k + 1)^2 + (k + 1)}[/tex]

∴

[tex]\mathsf{2 + 4 + 6 + 8 + . . . + 2k + 2(k + 1) = (k + 1)^2 + (k + 1)}[/tex]

Thus, the result is true for n = m+1, hence we can posit that the result is also true for each value of n.

As such [tex]\mathsf{2+4+6+8+. . .+2n = n^2 + n }[/tex]

Answer:

20 degrees

Step-by-step explanation:

Angles on a line equal 180 degrees.

180–140=40

40=2x

x=20

20 degrees

Answer:

We think about ourselves way less than we think 8% of the time.

Step-by-step explanation:

In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).

The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."

No.

Since w = 8, you must replace the variable with the number associated to it.

So, it would be 5 + 8 = 58

5 + 8 is not equal to 58, it is equal to 13.

If you wanted to find out what w was, simply subtract 5 on both sides.

w = 58 - 5

9514 1404 393

Answer:

  x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

  sin(θ) = 4/BX   ⇒   BX = 4/sin(θ)

  cos(θ) = x/XA   ⇒   XA = x/cos(θ)

Then ...

  BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

  4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

  x = (10 -4/sin(θ))·cos(θ)

  x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

   cot(θ) = cos(θ)/sin(θ)

Answer:

(121.576 ; 273.424)

Step-by-step explanation:

Given the data:

175, 125, 180, 220, 240, 245

We can calculate the mean and standard deviation

Mean = Σx/ n = 1185 / 6 = 197.5

Standard deviation = 46.125 (calculator)

The confidence interval :

Mean ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 99%, df = n - 1 ; 6 - 1 = 5

Tcritical = 4.032

Margin of Error = 4.032 * 46.125/√6

Margin of error = 75.924

Confidence interval :

197.5 ± 75.924

Lower boundary = 197.5 - 75.924 = 121.576

Upper boundary = 197.5 + 75.924 = 273.424

(121.576 ; 273.424)

Answer:

[tex]\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \frac{-3}{8}[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                             [tex]\displaystyle \lim_{x \to c} b = b[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

L'Hopital's Rule

Differentiation

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Step-by-step explanation:

We are given the following limit:

[tex]\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16}[/tex]

Let's substitute in x = -2 using the limit rule:

[tex]\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \frac{(-2)^3 + 8}{(-2)^4 - 16}[/tex]

Evaluating this, we arrive at an indeterminate form:

[tex]\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \frac{0}{0}[/tex]

Since we have an indeterminate form, let's use L'Hopital's Rule. Differentiate both the numerator and denominator respectively:

[tex]\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \lim_{x \to -2} \frac{3x^2}{4x^3}[/tex]

Substitute in x = -2 using the limit rule:

[tex]\displaystyle \lim_{x \to -2} \frac{3x^2}{4x^3} = \frac{3(-2)^2}{4(-2)^3}[/tex]

Evaluating this, we get:

[tex]\displaystyle \lim_{x \to -2} \frac{3x^2}{4x^3} = \frac{-3}{8}[/tex]

And we have our answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

Given:

The graph of function.

To find:

The correct statement for the domain and range of the given graph.

Solution:

Domain: The set of input values.

Range: The set of output value.

From the given graph it is clear that the graph represents a polynomial function.

The given graph of a polynomial function is defined for all real values of x. So, the domain is the set of all real numbers.

The graph of the function approaches from negative infinite to positive infinite. So, the output the given graph is set of all real numbers. It means the range is the set of all real numbers.

Therefore, the correct options are B and D.

The true statements are:

B. The range is the set of all real numbers.

D. The domain is the set of all real numbers.

From the figure, we can see that the graph extends in all directions without any end.

This means that, the graph of the function can take any real value as its input, and output

Hence, the domain and the range of the graph are set of all real numbers

Read more about domain and range at:

https://brainly.com/question/10197594

Answer:

CI 98 %  =  ( 3.332  ;  5.668 )

t(c)  =  2.9979

Step-by-step explanation:

Confidence Interval  CI  98 %   then  α  =  2 %   α  =  0,02    α/2  =  0.01

Sample information:

Sample size    n  =  8

sample mean     x  =  4.5

standard deviation of sample    s  =  1.1 kg

degree of freedom     df  =  n  -  1     df  =  8  -  1    df  =  7

With    α/2  0.01  and  df  =  7 from t-studente table we find   t(c)

t(c)  =  2.9979

CI 98 %  =  (   x  ±  t(c) * s/√n )

CI 98 %  =  (  4.5  ±  2.9979 *  1.1/ √8 )

CI 98 %  =  (  4.5  ±  3.2976/2.8228 )

CI 98 %  =  (  4.5  ± 1.168 )

CI 98 %  =  ( 3.332  ;  5.668 )

Answer: yes yes no yes yes no

Step-by-step explanation:

Answer:

-99

Step-by-step explanation:

Answer:

- 99

Step-by-step explanation:

11 - 11 × 11 + 11

➛ 0 × 11 + 11

➛ - 110 + 11

➛ - 99

a.

Answer:

240 cm^3

b.

Answer:

208cm^2

Answer:

254.47 mm

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

could you screenshot your question or reword it. I don't know what you're asking. Sorry.

9514 1404 393

Answer:

  40° 31' 39"

Step-by-step explanation:

Base-60 arithmetic is just like base-10 arithmetic in that you borrow the value of the base from the next-higher "digit" when you need to subtract a larger number from a smaller number.

  90 : 00 : 00 - 49 : 28 : 21  . . . . . we used a colon (:) to separate "digits"

  = 89 : 59 : 60 -49 : 28 : 21

  = 40 : 31 : 39

The measure of angle K is 40° 31' 39".

Answer:

Trapezoid

Step-by-step explanation:

It has two opposite parallel lines and the other two are not parallel

Answer:

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Compare the equation to that of an ellipse with center (h, k) and axes of lengths 2a and 2b.

  ((x -h)/a)^2 +((y -k)/b)^2 = 1

We see that (h, k) = (4, 0) and a=2, b=3.

This tells us the center of the ellipse is (4, 0), the major axis is parallel to the y-axis, and the minor axis is parallel to the x-axis. The ellipse extends ±2 units from its center in the x-direction and ±3 units from its center in the y-direction.

Answer:

It is graph C on edge.

Step-by-step explanation:

Answer:

C-15.12. That is the most suitable answer

The volume of the prism is (B) 864 mm3

Answer:

Step-by-step explanation:

The answer is no since f(-x) = f(x)

Example:

It is not one-to-one, it is two-to-one

Answer:

The hypotenuse is twice the length of the shortest side so;

A could be the answer as when 5 is shortest and 10 is hypotenuse we get 5√3 for the other side which = 8.6

It cannot be B, C or D as the numbers cannot be 2 values same as hypotenuse (the longer length) as 5 + 5 = 10 and we cant use 4 lengths in one triangle and either of 3 out of 4 values do not show ratio of lowest side any value middle value = LV +√3 and hyp LV(2)

so A is the answer.

Step-by-step explanation:

Answer:

n = √108 or 6√3

Step-by-step explanation:

n is the altitude of the right triangle

Based on the right triangle altitude theorem, we would have:

h = √(xy)

Where,

h = n

x = 18

y = 6

Substitute

n = √(18*6)

n = √108

Or

n = 6√3