How many times does this polynomial change signs?
f(x) = 3x5 – 2x4 – 6x3 + x2 - 4x – 9

Answers

Answer 1

Answer:

3 sign changes from the highest order term to lowest


Related Questions


Anyone know how to answer this mathematics question?

Answers

Answer:

B: (-2,-8)

Step-by-step explanation:

(-2,-8) works because (-2-5)^2 + (-8+11)^2 = 49 + 9 = 58

The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.

Answers

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information

3 squares are positioned to form a triangle. The small square is labeled 6 units, medium square is 8 units, and large square is not labeled.
Answer these questions about the right triangle.

What is the area of the square of the leg 6?

✔ 36 square units
What is the area of the square of the leg 8?

✔ 64 square units
What is the area of the hypotenuse square?

✔ 100 square units
What is the length of the hypotenuse?

✔ 10 units

Answers

Answer:

Area of Square(leg 6): 36units

Area of square(leg 8): 64units

(3) 100units is the Area

(4) Length of hypotenuse is 10units

Step-by-step explanation:

Square(leg 6): 6*6= 36

Square(leg 8): 8*8=64

The bigger square: 64+36=100

The length of the hypotenuse is 10units because 10*10=100

I hope this helps have a good day! :)

Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -7, through (-5,5)
What is the equation of the line?

Answers

Answer:

y=-7x-30

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-7(x-(-5))

y-5=-7(x+5)

y=-7x-35+5

y=-7x-30

Help solve this I’m not sure if my answer was right. Pythagorean theorem.

Answers

Answer:

C. since 8, 15, 17 are pythagorean triples

A hiker begins at 2,000 feet above sea level and takes a break at 1,600feet above sea level. What is the hiker change in elevation?

Answers

The hikers change in elevation is 400 feet.

Since they are both above sea level, all you would do is subtract

2000-1600=400

Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram. A circle is cut into 8 equal sections. The sections are arranged into the shape of a parallelogram with a base of 9.42 inches and height of 3 inches. Which expression represents the approximate area of the circle in square inches? 9.42 times 3 9.42 times 3 squared 9.42 times 6 9.42 times 6 squared]

Answers

Answer:

The expression that represents the approximate area of the circle in square inches is;

9.42 times 3

Step-by-step explanation:

From the question, we have;

The shape of the figure which Kyra is finding the area for = A circle;

The number of equal pieces Kyra cuts the shape into = 8 equal sectors

The shape the sectors are arranged into = A parallelogram

The base of the parallelogram = 9.42 inches

The height of the parallelogram = 3 inches

Therefore, the area of the approximate parallelogram formed ≈  The area of the circle

The area of a parallelogram = The base × The height

∴ The area of the approximate parallelogram formed = 9.42 × 3 ≈ The area of the circle

The approximate area of the circle = 9.42 × 3 square inches.

Answer:

B

Step-by-step explanation:

Just to simplify the top answer :)

Complete the equation of this circle:
(x - [ ? ])2+(y - [ ])2= []

Answers

The complete equation of the circle graphed is (x - 2)² + (y + 2)² = 9

Determining the equation of the circle graphed

From the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

Center = (a, b) = (2, -2)

Radius, r = 3 units

The equation of the circle graphed is represented as

(x - a)² + (y - b)² = r²

So, we have

(x - 2)² + (y + 2)² = 3²

Evaluate

(x - 2)² + (y + 2)² = 9

Hence, the equation is (x - 2)² + (y + 2)² = 9

Read more about circles at

brainly.com/question/24810873

#SPJ1

I NEED HELP ASAP
A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has two opportunities for a two-point conversion. He misses the first attempt 50% of the time. When he misses the first attempt, he misses the second attempt 15% of the time. What is the probability of missing both two-point conversion attempts?

Answers

Answer:

P = 0.075     P = 7.5%

Step-by-step explanation:

We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.

We know for a fact that the probability that the quarterback fails the first attempt is:

p(1) = 0.5

and we know that the probability that the quarterback fails the second attempt after failing the first is:

p(2/1) = 0.15  

Then the probability of failure of both attempts is:

P(2/1) = p(1 and 2) / p(1)

p(1 and 2) = P(1) * P(1/2)

p(1 and 2) = 0.5 * 0.15

and that is

p(1 and 2) = 0.075

you probably didn't want the nerdy stuff but oh well

Answer:

Answer:

P = 0.075     P = 7.5%

Step-by-step explanation:

We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.

We know for a fact that the probability that the quarterback fails the first attempt is:

p(1) = 0.5

and we know that the probability that the quarterback fails the second attempt after failing the first is:

p(2/1) = 0.15  

Then the probability of failure of both attempts is:

P(2/1) = p(1 and 2) / p(1)

p(1 and 2) = P(1) * P(1/2)

p(1 and 2) = 0.5 * 0.15

and that is

p(1 and 2) = 0.075

an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?

Answers

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Could someone help me, please?

Answers

Answer:

b=56°

Step-by-step explanation:

Help I need to find the area????!!!?!?!?

Answers

It should be 63 bc area is height x width :)

The length of a rectangle is 2/3 units. The width is 5/6 units. What is the area of the rectangle?

Answers

Answer: The length is 0

Step-by-step explanation:

Answer: 5/9

Decimal form: 0.555.......

Step-by-step explanation:

Area = length • width

The ratio of lime juice to soy sauce in a salad dressing is 5:4. The total of bath ingredients is 27 tablespoons. How many tablespoons of each ingredient are used?

Answers

Answer:

There would be 15 tablespoons of lime juice and 12 tablespoons of soy sauce.

The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means?

Answers

Answer:

the difference of the mean in the case of mean absolute deviation is 2.5

Step-by-step explanation:

The computation of the difference of the mean is shown below:

Difference is of

= B - A

= 47 - 42

= 5

Now the difference of the mean is

= 5 ÷ 2.5

= 2.5

Hence, the difference of the mean in the case of mean absolute deviation is 2.5

The same would be relevant

what expressions are equivalent to 42x - 14y

Answers

Answer:

Step-by-step explanation:

lol u

Answer:

When 42(x + 14y) is simplified:

42(x + 14y)

Expand and remove the brackets. Remember brackets mean to multiply.

42*x

42x

42*14y

588y

42x+588y

Therefore 42x-56 is NOT EQUIVALENT to 42(x + 14y) but is equivalent to 42+588y

Step-by-step explanation:

Combine like term
82x - 26y - 60z - 15y+49z - 53x

Answers

Answer:

29x-41y-11z

Step-by-step explanation:

Answer:

29 x − 41 y- 11 z

Step-by-step explanation:

please help with this one. i will give brainliest

Answers

70.. not pretty sure tho

Answer:

B: 170

Step-by-step explanation:

Find the area of the parallelogram below. Round your answer to the nearest tenth.

Answers

Answer:

198 cm ²

Step-by-step explanation:

Area of parallelogram = l * w

18 * 11= 198 cm²

Triangle a need to be rotated in a 90 degrees counterclockwise

Pick the correct triangle for 90 degree counterclockwise

1.B
2. C
3. D

Answers

Answer:The answer is D

Step-by-step explanation:

at the animal shelter there are 15 dogs 12 cats three snakes and 5 parakeets which animal makes up approximately 14% of the animals in the shelter​

Answers

Answer:

parakeets

Step-by-step explanation:

Hope this helps
U may ask if any explanation needed

Can someone explain how they got the answer to this?

Answers

Answer:

you need to solve for x.

5x+10=20

    -10 -10

5x=10

/5   /5

x=2

Step-by-step explanation:

let me know if this wasn't what you were asking for.

Answer:

x=2

Step-by-step explanation:

5x + 10 = 20

    - 10     -10

5x = 10

5x/5 = 10/5

x = 2

hope this helped :)

Graph this function: Y = x + 11 (you can just tell me the coordinates)​

Answers

The coordinates are (-11,0) (0,11)

Find the arithmetic and the geometric means of 5 and 125

Answers

Answer: The geometric mean of 125 and 5 is 25

Answer:

Arithmetic Mean: 65

Geometric Mean: 25

Step-by-step explanation:

Arithmetic Mean Formula: Sum / # of values

(5 + 125) / 2

130 / 2

65

Geometric Mean Formula: √Product of the values

√(5*125)

√625

25

If Kyle makes a zero on his ELA finals, and it counts for .01% of his 90.8%, how much will Kyle’s grade drop?

please help i’m not sure how to do math like this

Answers

Answer:

9.2 %

Step-by-step explanation:

Given: 0 on finals, overall is 90.8, then 0.01%

To find: How much of Kyle’s grade dropped

Solve: First, calculate the percentage you received on the test by dividing your mark by the total marks.

Kyle scored 0 out of 100, then 0/100 = 0 percent.

Secondly, multiply your percentage score on the test by the percentage it is worth of the final grade.

0 × 90.8 = 9.2 %  

9.2 %  of the final grade

Writing linear equations from a table
Find the y intercept and slope

Answers

Answer:

y=2/5(x)-4

Step-by-step explanation:

m=2/5

y=mx+b

2=2/5(15)+b

b=-4

Answer:

m= 2/5 (i don't know if you have to put x)

b= -4

y = 2/5x-4

Step-by-step explanation:

i hope this helps :)

Pls answer this I need this in 5 mins

Answers

Answer:

x=17

Step-by-step explanation:

3x+5+2x=90

5x=85

x=17

Answer:

x=17

Step-by-step explanation:

that is the answer .

Find the probability of rolling a 5 or greater on the first die and a 2 or greater on the second die

Answers

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are 3, 4, 5, 6

So the probability of rolling a number out of these four is 4/6

So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be

1/6 * 4/6 = 4/36 = 1/9

Answer:

1/3, 5/6, and 5/18.

Step-by-step explanation:

If a die has 6 sides, then because there are 2 sides equal or greater than 5 (5 and 6), then there is a 2/6 or 1/3 chance of rolling the first die. On the second roll, there are 4 sides equal or greater than 5 (2, 3, 4, 5, and 6), so there is a 5/6 chance of rolling it. To find the probability of both happening, multiply 1/3 by 5/6 to get 5/18.

Which of these statements is most accurate regarding mortgage payments through the life of your loan?
a.
At the beginning of your loan, your payments are covering mostly interest. At the end of your loan, your payments are covering mostly principal.
b.
The amount for your mortgage payments will decline over the life of your loan.
c.
The amount of interest paid per mortgage payment will remain the same over the life of your loan.
d.
The amount of principal paid per mortgage payment will decrease over the life of your loan.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

Step-by-step explanation:

The correct answer is

a.

At the beginning of your loan, your payments are covering mostly interest. At the end of your loan, your payments are covering mostly principal.

Write an equation of the line that passes through the points: (-3, 0), (0,0)

Answers

Answer:

y=0

Step-by-step explanation:

y=mx+b

the slope is 0

y=0x+b

y=b

b is the y intercept... also 0.

so

y=0

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