Will someone please help me with the 3 highlighted questions?

Answer:

–x^3 + 5x^2 – 8x + 1

Step-by-step explanation:

You can observe that expanding f(2-x) will give you a sum that includes (2-x)³, so will have a -x³ term. This narrows the choices to one of the first two.

If x=0, then you have ...

... f(2) = 2^3 -2^2 -3 = 8 - 4 - 3 = 1 . . . . corresponds to the first selection

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Worked in detail

f(2-x) = (2-x)³ -(2-x)² -3 . . . . substitute 2-x for x in the expression for f(x)

... = (2³ -3·2²x +3·2x² -x³) -(2² -2·2x +x²) -3

... = -x³ +5x² -8x +1 . . . . . matches the first selection

_____

Using ...

... (a+b)³ = a³ + 3a²b +3ab² +b³

... (a+b)² = a² +2ab +b²

Answer:

It would be C

Here's Why:

Answer:     " 1 lb ,  14 oz. " .

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Step-by-step explanation:

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Note the exact conversion:    " 16 oz.  =   1 lb.  " .

→  {that is:  " 16 ounces  =  1 pound " .}.

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  30 oz. * ( 1 lb / 16 oz). =  [tex]\frac{30}{16}[/tex]  lbs. ;

                                      = (30/2) / (16/2)   lbs.

                                      =  (15 / 8) lbs.  ;

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       1

8 ┌ 15

    -  8                            

        7  ;              

______________________

The answer is equal to:  " 1  7/8  lbs. " .  

           →   (1 lb)  + (7/8) (lb).  ;

______________________

 →  (7/8) lb.   =  how many "oz." ??

_______________________

Note the exact conversion:   " 1 lb.   =   16 oz.  " .

_______________________

 →   [tex]\frac{7 lb}{8}[/tex] * [tex]\frac{16 oz}{1 lb}[/tex]  ;

                    =  [tex]\frac{7}{8} * \frac{16}{1}[/tex]  oz.   ;

 →  The "8" cancels to a "1" ; and the "16" cancels to a "2" ;

                   →  {since:  " {16 ÷ 8 = 2 } " ;  

             and:   {since:  " {8 ÷ 8 = 1 } " .

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 →  So we can rewrite as:  

_______________________________________________                  

                  →  [tex]\frac{7}{1} *  \frac{2}{1}[/tex]  oz. ;

                         =  { 7  *  2 }  oz.  ;

                         =   14  oz.

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→  So:        

_______________________________________________  

 →   " 30 oz. "  =  " (1 lb)  + (7/8) lb.  "  ;

                        =  "  1 lb. + 14 oz. "  ;

                        =  " 1 lb ,  14 oz. " .

_______________________________________________

        →  The answer is:  " 1 lb ,  14 oz. " .

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Let us check our answer:

  →   Does:     " 1 lb.  +   14 oz. = ?  30 oz. ? " ;

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Note the exact conversion:  " 1 lb.  =  16 oz. " .

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  →   Does:  " 16 oz.   +   14 oz.   =  ?   30 oz. ??  " ;

_______________________________________________

  ₁

  16 oz            

+ 14 oz            

  30  oz.

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→   Does:   " 30 oz.  = ?  30 oz. ? "  ??? ;  →   Yes!

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Hope this helps!

 Best wishes to you in your academic endeavors

           — and within the "Brainly" community!

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D. 2x -3y = 18

Multiply by 3, then rearrange.

... y = 2/3x -6

... 3y = 2x -18 . . . . . multiply by 3

... 0 = 2x -3y -18 . . . subtract 3y

... 18 = 2x -3y . . . . . add 18

... 2x - 3y - 18 . . . . . swap sides to match the form of the answers

Answer:

14z + 16 is your perimeter

Step-by-step explanation:

To solve the perimeter, add all sides together. Note that in a rectangle, the opposite sides are congruent and parallel to each other.

Let Perimter = p

p = 2(4z + 3) + 2(3z + 5)

Simplify. Distribute the numbers.

2(4z + 3) = 8z + 6

2(3z + 5) = 6z + 10

Simplify. Combine like terms

p = 8z + 6 + 6z + 10

p = 14z + 16

14z + 16 is your perimeter

~

[tex]\frac{x}{8} + 19 = 30[/tex] - subtract 19 from both sides

[tex]\frac{x}{8} = 11[/tex] - multiply both sides by 8

[tex]x = 88[/tex]

In this equation, x = 88.

Answer:

The correct answer is 5.34

Step-by-step explanation:

you can double check this by multiplying .6 and 8.9

Answer:

x = 5.34

Step-by-step explanation:

x/ .6 = 8.9

We want to solve for x, which means we want x by itself.

Multiply each side by .6

x/ .6  * .6= 8.9 * .6

x = 5.34

Answer: does the printer come with a starter pack of ink? how many ink cartridges does it take? A standard printer takes pink, blue, black, and yellow.  

Step-by-step explanation:

1) $100 for printer

2) $25 for each cartridge

total cost if take 4 cartridges:

$200

Answer:

25*x+100

Step-by-step explanation: You do 25 multiplied by the number of cartridges (x) and then add 100 for the cost of the printer. For example, if you buy 5 cartridges, it would be, 25*5+100 and then it would equal 225 or 225 dollars for the overall cost of the printer.

Answer:

Median.

Step-by-step explanation:

Assuming the teacher is not of similar age to the students, their higher age would pull the mean higher than if the teacher were not included, where  the median would not be pulled by this extreme value.

Answer:

$13

Step-by-step explanation:

$26,555 ÷ 36 = 737.6388889 ≈ $738 per month

36 × 738 = $26,568

= $13

Answer:

$13 will be overpaid after 36 months if payments are rounded of to nearest whole number dollar.

Step-by-step explanation:

We are given the following in the question:

Total cost of car = $26,555

Number of equal installments made = 36

Payment of 1 installment =

[tex]\displaystyle\frac{\text{Toatl cost}}{\text{Number of installments}} = \frac{26555}{36} = 737.6389\$[/tex]

Rounding of to nearest whole number, payment of one installment =  $738

Value of 36 installments of $738 each =

[tex]36\times 738 = 26568\$[/tex]

Money overpaid after 6 months =

[tex]26568 - 26555 = 13\$[/tex]

Thus, $13 will be overpaid after 36 months if payments are rounded of to nearest whole number dollar.

Answer:

yes it's perpendicular line

Step-by-step explanation:

Answer:

f(x) and g(x) have the same x-intercepts (is not true)

Step-by-step explanation:

g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)

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Comment on the question/answer

f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)

Answer:

26 most years; 27 some years

Step-by-step explanation:

1 day out of 14 is 1/14 of the number of days in a year.

The number of days in a year depends on the year or years you're talking about. In all cases, there are not an integer number of weeks in a year, so days are left over. 365/14 = 26 1/14.

For example, if you're concerned with every other Monday, most years, there will be 26 of them, but every few years there will be 27. Over a period of 800 years, there will be exactly 71 years with 27 days of interest instead of 26. 800 is not divisible by 71, so the spacing will be uneven.

Answer:

125 times

Step-by-step explanation:

Set up the proportion

25 times/ 30 seconds = x / 150 seconds       Multiply by 150

25 * 150 / 30 = x

3750 / 30 = x

x = 125

He will be able to bounce the ball 125 times

Answer:

The ball will bounce 125 times

Step-by-step explanation:

We can use ratio's to solve this problem.  I will put how many times the basketball is bounced on top and how many seconds on the bottom.

25 times         x times

-------------   = ----------------

30 seconds    150 seconds

Using cross products

25 * 150 = 30 * x

Divide each side by 30

25*150/30 =30*x/30

25 * 5 = x

125 =x

Answer:

2.3 × 10^18

Step-by-step explanation:

Your formula tells you ...

... F × (1.3 × 10^-8) = 3.0 × 10^10

Dividing by the coefficient of F, you have ...

... F = 3.0/1.3 × 10^(10-(-8))

... F ≈ 2.3 × 10^18

1. A line has only a length dimension. It has no width or height. It is a one-dimensional object.

2. Points on the same line are collinear. On the same plane, they are called coplanar. Coordinates locate a point relative to some measurement reference.

Answer:

The correct answer is:    [C]:

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  " {The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } ."

________________________________________________

Step-by-step explanation:

________________________________________________

Note that "all" squares are "parallelograms" ; and that "all" rectangles are

                "parallelograms" ;  

           yet:  "Not All parallelograms" are "squares" or "rectangles".

________________________________________________

The question asks:

________________________________________________

"Quadrilateral QRST has two pairs of congruent  sides, but it is not a parallelogram.  

What figure is it?  

What further condition would have to satisfy to be a parallelogram? "  .

________________________________________________

So;  we can rule out:

________________________________________________

"Answer choices:

[A]:  "The figure is a square..." ;

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[B]:   "The figure is a rectangle..." ;  AND :

________________________________________________

[D]: "The figure is a square..."  .

________________________________________________

We are left with:

________________________________________________

Answer choice:  [C]:  

________________________________________________

          " { The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } "  .

________________________________________________________

2x² - 4x + 6 = 0 /:2

x²-2x+3=0

Δ=(-2)²-4·1·3=4-12=-8<0

x∈∅

False. A, B, and C does not have a greatest common factor of 1 which means this ewuation is not in general form.

Answer:

47.8

Step-by-step explanation:

8^2+3.8-10*2

64+3.8-20

47.8

A. 3

Fill in the given values in the formula (h=0, r=48) and solve for t.

... 0 = 48t -16t²

... 0 = 16t(3 -t)

This is true for t = 0 and for t = 3.

The ball will take 3 seconds to hit the ground.

Answer:

A.3

Step-by-step explanation:

Answer:

71.79 degrees

Step-by-step explanation:

The cosine is (adjacent side to angle) / (hypotenuse)

so the cosine of x = 5/16

to get x you multiply cosine by its inverse

(cos^-1 x)(cos x) = (cos^-1 x)(5/16)

= 71.79 degrees

Answer:

2+√3

Step-by-step explanation:

We know that roots with square roots come in pairs

so if we have a+ sqrt(b), we will also have a - sqrt(b)

Since one of the roots is 2 -sqrt(3), it must have another root of 2+ sqrt(3)

The conjugate of the root (2-√3) for a polynomial with integer coefficients is (2+√3), which must also be a root of the polynomial.

If (2-√3) is a root of a polynomial with integer coefficients, then by the Conjugate Root Theorem (which is a consequence of the Complex Conjugate Root Theorem), if the polynomial has real coefficients and a non-real root, then its complex conjugate must also be a root. However, since √3 is a real number and our expression involves only real numbers, in this context, we look for the conjugate in terms of radicals. Thus, the conjugate of (2-√3) would be (2+√3), which must also be a root of the polynomial.

The other options given, such as 2√3, √3-2, and 3-√2, do not satisfy the criteria of being the conjugate of (2-√3). They might be roots of some polynomial, but without the constraint of integer coefficients or known conjugate pairs, we cannot confirm that.

Answer:

option no D

Step-by-step explanation:

AS it given that it is a random generator

so it will generate random integers between 1 and 3

so

possible sample space = {1,2,3}

Total no of out comes = 3

Estimated probability that 3 will occur will be obtained by dividing total no of outcomes with total no of possible events to occur

as the occurrence of event is only 1

so

Estimated probability = 1 /3 = 0.33333

Now

The experiment is performed

total outcomes = 14

Total no of like able events that 3 occurred = 4

Actual probability = 4 / 14

                             = 0.2857

Difference between actual and estimated probability is = 0.3333-0.2857

                                                                                            =0.0421

                                                                                           ≅0.04

which is option D

Final answer:

The actual probability of a 3 being generated is 1/3, and the estimated probability from the given sequence is 4/14. The difference between the two probabilities is roughly 0.05, which corresponds to answer choice C.

Explanation:

The question refers to the probability of a random generator selecting the number 3 from a set of integers ranging from 1 to 3, where each number has an equal chance of being selected. The actual probability of the random generator selecting a 3 is 1/3, as there are three possible outcomes and each is equally likely. To find the estimated probability, we can look at the frequency of the number 3 in the provided set of generated numbers: (1 2 3 3 3 2 2 1 1 1 2 3 1 1). In this set, there are 4 occurrences of the number 3 out of 14 total numbers. Therefore, the estimated probability is 4/14 or approximately 0.2857. The difference between the estimated and actual probabilities is 0.3333 (actual) - 0.2857 (estimated) = 0.0476. When rounded to two decimal places, the difference is approximately 0.05. Thus, the correct answer to the question would be C. 0.05.

Answer:

okiii i got the answers right here i hope this helps!

Step-by-step explanation:

oki so for the first one liner

the second it non liner

third is also non liner

and the lasst one is liner

Answer:

[tex]24p[/tex]

Step-by-step explanation:

There's a very useful pattern in factoring and multiplying binomials called a difference of squares, and it looks like this:

[tex](x+y)(x-y)=x^2-y^2[/tex]

We can use this difference of squares to factor the expression we've been given, setting [tex]x=2p+3[/tex] and [tex]y=2p-3[/tex] to obtain the expression

[tex](2p+3)^2-(2p-3)^2=[(2p+3)+(2p-3)][(2p+3)-(2p-3)][/tex] (1)

tackling each of the multiplicands on the right:

[tex](2p+3)+(2p-3)=2p+2p+3-3=4p[/tex] (Left)

[tex](2p+3)-(2p-3)=2p-2p+3-(-3)=3+3=6[/tex] (Right)

This simplifies the expression on the right of (1) to [tex]4p\cdot6[/tex], or simply [tex]24p[/tex].

7 months

After Carter makes his $500 payment, the balance on the loan is -1596.37. We want to find the number of months (m) such that ...

... -1596.37 +250m ≥ 0

... m ≥ 1596.37/250 . . . . add 1596.37, divide by the coefficient of m

... m ≥ 6.4

The least number of months that is more than 6.4 is 7 months.

_____

Comment on this answer

Carter's loan balance may also be affected by interest charged on the loan amount. We don't expect those charges to be so high as to require an additional month's payment.

Answer:

1/3

Step-by-step explanation:

The ratio of AB to CB

AB/CB

3/9

Simplifying by dividing the top and bottom by 3

1/3

Answer:

96°

Step-by-step explanation:

ΔKLM is isosceles, so base angle KML will be half the supplement of ∠MLK, or ...

.... ∠KML = (180° -48°)/2 = 66°

ΔKJM is also isosceles, so base angle JMK will be the same measure as ∠JKM, 30°.

∠JML = ∠JMK + ∠KML = 30° +66°

∠JML = 96°