ANALYZE The table below shows the values of a cubic function. Could there be a zero between
x= 2 and x = 3? Justify your argument.
ONLY QUESTION 30

ANALYZE The Table Below Shows The Values Of A Cubic Function. Could There Be A Zero Betweenx= 2 And X

Answers

Answer 1

Answer:

  No; no sign change of g(x) in that interval

Step-by-step explanation:

The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.

There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].

_____

Additional comments

We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].

__

First differences of the table values are ...

  -5, +1, +2, -3, 0

Second differences are ...

  6, 1, -5, 3

Third differences are ...

  -5, -6, +8

This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...

  g(x) = -5/6x^3 +1/2x^2 +7/3x -1

You may want to discuss this question with your teacher.


Related Questions

You have a summer job that pays time and a half for overtime. That means if you work more than 40

hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.

Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.


How much will you get payed if you work 47 hours?

Answers

Answer:

$522

Step-by-step explanation:

translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a number is 11

Answers

Answer:

I think it'll be 5 + n = 11

11 - 5 = 6

n = 6

Answer:

Below in bold.

Step-by-step explanation:

Let the number be n, then:

5 + 1/2n = 11

1/2n = 11 - 5

1/2n = 6

Multiply both sides of the equation by 2:

n = 12.

work out the value of 35-3×9
you must remember to do the bidmas or bodmas in those type of question
First you must try to do multiplie this question 3×9 = 27
than subtract
35-27 =8
8 is final answer ​

Answers

Answer:

8

Step-by-step explanation:

35-3×9=35-27

=8

Hope this helps!!!

PLS help me answer both question pls no links and pls no fake answers

Answers

Answer:

Step-by-step explanation:

False

Multiplying each side by a positive number does not change the sign

x < -6(5/3)

x < -10

The swimming club need to raise £135 for transport to the swimming gala.

They buy 20 tracksuits for £15.98 each and will sell them to raise money.

What percentage profit should they add to the cost of the tracksuits to raise the £135 they need?

Answers

Answer:

Step-by-step explanation:

The investment was

20(£15.98) = £319.60

After the sale, they want to have

£319.60 + £135.00 = £454.60

Which means each suit sells for

£454.60/20 = £22.73

The markup was

£22.73 - £20.00 = £2.73

which as a fraction of the purchase price is

£2.73/£20.00 = 0.1365

0.1365(100) = 13.65%

What is the midpoint of the segment shown below?
A.(5,7/2)
B.(5,7)
C.(5/2,7)
D.(5/2,7/2)

Answers

Answer:

D

Step-by-step explanation:

[tex](x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)[/tex]

A 16" × 16" square tray can hold at most 9 bagels placed side by side, as shown below. At most how many bagels can a 32" × 32" square tray hold if bagels are placed side by side?\

Answers

Answer:

At most it can hold 18 bagels

Step-by-step explanation:

So we can make this an equation

16 · 16 square tray = 9 bagels on top of it

We just doubled both sides of it

giving us 32 · 32 square tray = 18 bagels can be held.

g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?

Answers

By definition of the [tex]\ell_p[/tex] norm,

[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]

[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]

[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]

and so x and y are closest together with p = infinity and furthest apart with p = 1.

-5y+8=-7
y = 3
check your answer

Answers

-5y = (-7) - 8

-5y = -15

-5y/ -5 = -15 / -5


y = 3

jessie works in an electronics store and earns a 7.5% commission on every item that she sells. How much commission would she earn for selling a computer that costs $1,580?

Answers

Answer: $118.50

Work Shown:

7.5% = (7.5)/100 = 0.075

7.5% of $1580 = 0.075*1580 = 118.50

I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have arrived 25 minutes later. How many miles did I drive?

Answers

Step-by-step explanation:

x = number of hours driven

25 minutes = 5/12 hour

remember,

1 hour = 60 Minuten

5 minutes = 60/12 minutes = 1/12 hour

25 minutes = 5×5 minutes = 5/12 hour

x hours × 40 miles/hour = (x + 5/12) hours × 30 miles/hour

the dimensions "hour" eliminate each other from the top and the bottom of the fractions leaving only miles. and the miles must be the same either way.

40x = (x + 5/12)×30 = 30x + 150/12

10x = 150/12

x = 15/12 = 5/4 hours

40 miles/hour × 5/4 hours = 40×5/4 miles = 10×5 = 50 miles.

I drove 50 miles.

Pls help with this:/

Answers

9514 1404 393

Answer:

  a.  y = -1/3x +7/3

  b.  f(6) = 1/3

Step-by-step explanation:

The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(4 -1) = -1/3

The point-slope form of the equation of the line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...

  y = m(x -h) +k

  y = -1/3(x -1) +2

  y = -1/3x +7/3 . . . . eliminate parentheses

__

b. The value of y when x=6 is ...

  y = -1/3(6) +7/3 = (-6 +7)/3

  y = 1/3

That is, for f(x) = -1/3x +7/3, ...

  f(6) = 1/3

PLS ANSWER THE PICTUREEE

Answers

Answer:

1.12

2.11

3.19

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12

Answers

Answer:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

Can someone Please answer this question fast?

Answers

Answer:

It is impossible to convert in square form.

Try quadratic formula

Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The length of the side opposite to theta:

= √(24^2-21^2)

=  √(24-21)(24+21)

= √(135)

= 3√15.

sin theta = 3√15/ 24 = √15/8.   csc theta = 1/√15/8 = 8/√15 =  8√15/15.

cos theta = 21/ 24 = 7/8.            sec theta = 8/7.

tan theta = 3√15/21 = √15/7.     cot theta = 7/√15  = 7√15/15.

Working alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?

Answers

Answer:

ten hours for them to get the job done completely without any hesitation.

Step-by-step explanation:

i studied it

Since Monica works faster, it will take 4 hours. Maybe less

Solve this quadratic equation by factorisation:

2y² + 4y – 30 = 0

my answer is

(2y+6)×(y-5)
2y+6=0 or y-5=0
y=-3 or y=5
is that correct?

Answers

Answer:

Y=5 y=-3

Step-by-step explanation:

Two real solutions:

y =(2+√64)/2=1+4= 5.000

or:

y =(2-√64)/2=1-4= -3.000

Anya brought 30 tocos for 36 dollars what it the unit rate

Answers

Answer:66

Step-by-step explanation:

The correct answer is $1.20
You would divide the amount of the item (30) by the price (36) (36/30) and get 1.20

HELP!!!!
Which situation best represents the equation below?
A. each day, 2.5 inches of water evaporates from the experiment.
B. Two cartons of eggs ring up at the register for $2.50.
C. A bank account is opened with a balance of $5, and $2.50 is deposited each day.
D. John is 2.5 times as big as his brother Sam.

Answers

Answer:

c

Step-by-step explanation:

Write the equation of the line in y=mx + b form

Answers

Answer:

y=-4x+2

Step-by-step explanation:

all you need to do is find the x-axis and y-axis. That information is already there, so put It together

Is the following relation a function?
X. Y
-1. -2.
2. 3
3. 1
6. -2

Answers

Answer:

Step-by-step explanation:

x y

−1 −2

2 3

3 1

6 −2

Answer:

no

Step-by-step explanation:

6 and -2 is not a function

What is the next number in the pattern

8.72, 8.52, 8.32 …

Answers

Answer:

3333

Step-by-step explanation:

3333

Answer:

8.12

Step-by-step explanation:

Because 0.20 is reduced after each number

8.72-0.20= 8.52

8.52-0.20=8.32

8.32-0.20=8.12

Solve for the missing side length

Answers

Answer:

x = 10

Step-by-step explanation:

Similar right triangles (angle marked congruent).

Same proportion of corresponding sides:

x/15 = 14/21x/15 = 2/3x = 15*2/3x = 10

Please take a look at the picture.

Answers

13/12 is the answer

Answer:

[tex]1 \frac{1}{12} [/tex]

Step-by-step explanation:

Question:To find the value of b.

Equation:[tex]b - \frac{7}{4} = - \frac{2}{3} [/tex]Solution :

[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]

[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]

As when -7/4 goes on the other side becomes +7/4

[tex] = > b = \frac{ - 8 + 21}{12} [/tex]

Simplification

[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]

(Ans)

Please help with this

Answers

4 Answers:Choice AChoice CChoice EChoice H

==========================================

Explanation:

A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.

B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.

C) This is true. We have 2 cups of white and 4 cups of green.

D) False. There are 6 cups total, but only 2 white (not 4).

E) True. This is a verbal way of describing the ratio 4:2, of green to white.

F) False. The ratio is the other way around. See choice E.

G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.

H) True. We have 2 cups of white and 2+4 = 6 cups total.

A

Triangle ABC is right-angled at A, and AD is the altitude from A to the hypotenuse BC.
Find x

Answers

Answer:

Step-by-step explanation:

5 x 6:30

What is 2+x=4 please help

Answers

Answer:

2+x=4

x = 4 - 2

x = 2

Step-by-step explanation:

........

Help help help help help help

Answers

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

if c is a positive number, how many solutions does vx=c have?​

Answers

All cases where v and x are both negative or both  positive numbers.

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