Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.

Answers

Answer 1
Assuming the function is

f(x) = x^4 + 3x^3-28x^2

Factorising, we get

f(x) = x^2(x+7)(x-4)

Therefore, there is a double root at x = 0 and singular roots at x = -7 and 4

double roots tend to bounce, kind of like the standard quadratic y = x^2

singular roots tend to cross, kind of like a straight line on a graph, y = mx + b

Therefore, it bounces at x = 0, and crosses at x = -7 and 4

In general, a root raised to an even power bounces, and a root raised to an odd power crosses.

Related Questions

Find the perimeter of the rectangle

Answers

Solution:We know, perimeter of a rectangle = 2(length + breadth)Here, length = (6 - 4) units = 2 units.Breadth = (5 - 2) units = 3 units.Therefore, the perimeter of the rectangle

= 2(2 + 3) units

= 2 × 5 units

= 10 units.

Answer:

The perimeter of the rectangle is 10 units.

Hope it helps.

Do comment if you have any query.

Write an expression that represents the perimeter of the triangle.

Answers

Answer:

(3m - 2) + (2m + 7) + (5m - 3)

Step-by-step explanation:

Perimeter is found by combining all side measurements together to find the total measurement. In this case, combine the sides:

(3m - 2) + (2m + 7) + (5m - 3) is your answer.

If you need a simplified expression, simply combine all the like terms together. Like terms are terms with the same as well as same amount of variables:

(3m + 2m + 5m) + (7 - 2 - 3)

(10m) + (2)

10m + 2 is your answer.

~

If the simple interest on ​$2000 for 3 years is ​$​300, then what is the interest​ rate?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$300\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 300=(2000)(r)(3)\implies 300=6000r\implies \cfrac{300}{6000}=r \\\\\\ \cfrac{1}{20}=r\implies 0.05=r\implies \stackrel{\textit{converting to percent}}{100\cdot 0.05}\implies \stackrel{\%}{5}=r[/tex]

5. En el banco, Brent cambia $50 en billetes por
50 monedas de un dólar. La masa total de las
monedas pesa 405 gramos. Estima la masa de
1 moneda de un dólar.

Answers

Answer:

8.1 g

Step-by-step explanation:

405 g ÷ 50 = 405 ÷ (100/2) = 405 × 2/100 = 810/100 = 8.1

8.1 g

What is the equation of the line??

Answers

Answers:

m = -2/3

b = 1

equation:  y = (-2/3)x + 1

This is the same as writing [tex]y = -\frac{2}{3}x+1[/tex]

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

Explanation:

There are a few approaches, but I like to start at the y intercept whenever it is an integer. The y intercept is where the diagonal line crosses the vertical y axis. In this case, that location is (0,1) telling us that b = 1 is the y intercept.

From that starting anchor point, we need to find a way to get to another point on this line. There are a few ways to do this, but we can move down 2 and to the right 3 units to go from (0,1) to (3,-1). This "down 2 right 3" motion directly leads to the slope of rise/run = -2/3

---------------

Alternatively, you can start at something like (-3,3) and move down 4 and move right 6 to arrive at (3,-1). Note how rise/run = -4/6 = -2/3. No matter where you start, moving along this line will involve a "down 2 right 3" movement pattern. Be sure to reduce any fractions as much as possible.

Yet another alternative is to apply the slope formula using any two points on the line. Preferably they have integer coordinates.

----------------

However you determine the slope, it's m = -2/3 after fully reducing. It along with b = 1 is plugged into y = mx+b to get y = (-2/3)x+1 as the equation of this line. It's in slope intercept form.

70=x+16? Show how to do

Answers

Subtract 70 from 16, and you get 54.

in what value of b makes y= 2x + b the same as y= 2x what does that value mean

Answers

Answer:

B = 0

Step-by-step explanation:

If you have y = 2x + b and are trying to get to y = 2x

Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.

Basing ourselves off of the formula "y = mx + b"

B = 0 would mean that the y-intercept of the line is 0

Answer:

0

Step-by-step explanation:

if y=2x and y=2x+b is the same then b must be 0.

if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax

Answers

Answer:

42.4 is the correct answer to this question

x + 3 ? 3 = x what factor do I use in between 3 and 3

Answers

Answer:

1 or 3

Step-by-step explanation:

factors of 3 r 1 and 3

that's why 3 is a prime number

7,433,654 rounded to the nearest 100

Answers

7433700 I think but not sure

1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove​

Answers

1)

LHS = cot(a/2) - tan(a/2)

= (1 - tan^2(a/2))/tan(a/2)

= (2-sec^2(a/2))/tan(a/2)

= 2cot(a/2) - cosec(a/2)sec(a/2)

= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))

= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)

= 2[(1+cos(a) -1)/sin(a)]

=2cot a

= RHS

2.

LHS = cot(b/2) + tan(b/2)

= [1 + tan^2(b/2)]/tan(b/2)

= sec^2(b/2)/tan(b/2)

= 1/sin(b/2)cos(b/2)

using product to sums

= 2/sin(b)

= 2cosec(b)

= RHS

Write 5/6% as a decimal number.​

Answers

Answer: 5/6 as a decimal is 0.833

Step-by-step explanation:

just divide 5 by 6

0.8 hope this helps :).

Two students are working on the same homework assignment. Antonia has completed 18 out of 45 questions. Oliver has completed 20% of the questions. Which student has completed the most questions, and why?

Answers

Answer:  Your anwser who has the most completed it would be the person with 18 questions anwsered out of 45

Step-by-step explanation:

The reason of this is becuase 20 percent of 45 if 9 and thats 9 questions out of 45 so 18 questions out of 45 is more

please mark brainliest thank you

Simon is driving his car on a highway at a constant speed. The below table shows the relationship between the amount of
gasoline left in his car and the distance traveled on the highway.

Answers

Answer:

ccccccccccccccccccccccccccc

How many groups of 1/4 are in 7.

Answers

There is 28.

7 ÷ 1/4 = 28

7 divided by 1/4 is 28

613209x659832=?
If you answer this correct congrats you're a genius
(and yes its possible I solved myself)

Answers

Answer:

4.046149209.iS it correct?

Answer:

[tex]4,046149209.10^{11}[/tex]

Step-by-step explanation:

using computer pocket :))

If AZ = 85 ZE=51 find Bc

Answers

The answer is 136.
85^2-51^2
=4624
Then we square root that to get…
68
BUT the answer is saying from b to c so we would have to multiply it by 2 to get…
136

Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)

Answers

Answer: 3/8

Step-by-step explanation: We don't know how many votes are there for the class secretary.

PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!

Answers

Answer:

(- 4, - 10 )

Step-by-step explanation:

y = 5x + 10 → (1)

y = 4x + 6 → (2)

Substitute y = 5x + 10 into (2)

5x + 10 = 4x + 6 ( subtract 4x from both sides )

x + 10 = 6 ( subtract 10 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 5(- 5) + 10 = - 20 + 10 = - 10

solution is (- 4, - 10 )

>> Answer

__________

[tex] \: [/tex]

[tex] \sf{y = 5x + 10...(1)}[/tex]

[tex] \sf{y = 4x + 6...(2)}[/tex]

Subtitute (1) to (2)

[tex] \sf{y = 4x + 6}[/tex]

[tex] \sf{5x + 10 = 4x + 6}[/tex]

[tex] \sf5x - 4x = 6 - 10[/tex]

[tex] \sf{x = - 4}[/tex]

.

Subtitute x = -4 to (1)

[tex] \sf{y = 5x + 10}[/tex]

[tex] \sf{y = 5( - 4) + 10}[/tex]

[tex] \sf{y = - 20 + 10}[/tex]

[tex] \sf{y = - 10}[/tex]

.

[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]

given the quadratic function, find the x value of the vertex of y=x2=4x-8

Answers

Answer:

27x^2−9y^2=81

need help, im confused​

Answers

Answer:

  Part A: correct

  Part B: $20

Step-by-step explanation:

Part B:

The amount Vanessa pays for her printer and 2 cartridges is ...

  $90 +2(25) = $140

The amount Tia pays for her printer and 2 cartridges (c=2) is ...

  t = 80 +20(2) = 120 . . . . dollars

Then the difference in the amounts they pay is ...

  $140 -120 = $20

78 divided by 21?:-:

Answers

Answer:

3.7 or 3.71428571429

Step-by-step explanation:

:/

Answer:

3.714

Step-by-step explanation:

78/21 is 3.71428571429 but you can round that to 3.714

I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree​

Answers

Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.

(-1/9) ÷ 6/7 =

Help
Me
Pls
:)

Answers

Answer:

I believe your answer is -7/54

Answer: -0.129

Step-by-step explanation:

In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.

Answers

Answer:

CE = 7.2

Step-by-step explanation:

Area = 1/2bh

6 = 1/2 (b)(4)

6 = 2b

3 = b     b represent AB, so BC and CD is 3 unit also

Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x

The figure is a right triangle so you know that a² + b² = c²

4² + 6² = x²

16 + 36 = x²

52 = x²

[tex]\sqrt{52 }[/tex] = x

7.211 ≈ 7.2 = CE

Sum of the Angles of a Triangle

If the three angles of a triangle

are equal, what is the

measurement of each angle?

B

C

[?] degrees

Answers

9514 1404 393

Answer:

  60°

Step-by-step explanation:

If the measure of the angle is represented by A, then the sum of the three angles in the triangle is ...

  A +A +A = 180°

  3A = 180° . . . . . . . simplify

  A = 180°/3 = 60° . . . . . divide by the coefficient of A

The three angles in an equi-angular triangle are all 60°.

__

Additional comment

If the angles are equal, so are the opposite sides. The three sides in an equi-angular triangle are also equal. Generally, such a triangle is called an equilateral triangle. It is useful to remember the angles in an equilateral triangle are all 60°.

One interesting consequence of this is that the smallest angle in any triangle can never be larger than 60°.

Write the number for six million fifty thousand.

Answers

Answer:

6,050,000

Step-by-step explanation:

Answer:

6,500,000

Step-by-step explanation:

Mr. Martin drove away from his house without his wallet. He did a 180. Where is he heading now?

Answers

Martin is heading to his house

solve for x! please help giving BRAINLIEST.

Answers

Answer:

its 45

Step-by-step explanation:

Jaxon's start-up business makes a profit of $500 during the first month. However, the company records a profit of -$50 per month for the next eight months and a profit of $175 for the final month. What is the total profit for the first ten months of Jaxon's business?

Answers

Answer: 275$

Step-by-step explanation:

500

-50 x 8 = -400

500 - (-400) = 100

100 + 175 = 275$

Answer:  $275

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

Explanation:

The first month has a profit of +500 or simply 500.

The next 8 months have a profit of -50 per month, so we have -50*8 = -400 in profit here. A negative profit indicates debt. So far, the profit is 500 + (-400) = 500 - 400 = 100 dollars. This result is positive, so the company is in good shape so far.

It gets in better shape when adding on the final 175 profit from the tenth month. The final profit is 100+175 = 275 dollars

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