Zeroes of a polynomial can be determined graphically. Number of zeroes of a polynomial is equal to number of points where the graph of polynomial.

2 points

a. intersects y-axis

b. intersects x-axis

c. intersects y-axis or intersects x-axis

d. none of these​

Answers

Answer 1

9514 1404 393

Answer:

  b. intersects x-axis

Step-by-step explanation:

A zero of the polynomial is where y = 0. The equation y = 0 is the equation of the x-axis, so intersections of the graph of the function with the x-axis are places where the function value is zero.

The number of (distinct real) zeros is equal to the number of points where the graph intersects the x-axis.

_____

Additional comment

When (x -p)^n is a factor of the polynomial, the graph will intersect the x-axis at x=p. The zero is said to have "multiplicity n". For odd values of n, the graph will cross the x-axis (change sign) at x=p. For even values of n, the graph will touch the axis at x=p, but will not cross there.

So, the number of intersections with the x-axis tells the number of distinct real zeros, but does not say anything about their multiplicity. Complex zeros will not cause the graph to touch the x-axis.


Related Questions

Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14

Answers

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan

Answers

12cm

have an amazing day <3

Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6

Answers

Answer:

[38]

Step-by-step explanation:

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall

Answers

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?

Answers

Answer:

She has 80 apples in all.

Step-by-step explanation:

24=30%

(24÷3)=(30÷3)%

8=10%

(8×10)=(10×10)%

80=100%

The answers to your question is 1.25

Please help. I will give brainliest.

Answers

Answer:

e

Step-by-step explanation:

I need help asap !!!!

Answers

Answer:

C

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

C.

Step-by-step explanation:

Pythagrean Theorem is on C

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

A sphere has a surface area of 196 pi. What is the radius of the sphere?


r = 7


r = 14


r = 65.33


r = 12.12

Answers

R=12.12 is the answer

Miyoko bought 3 packages of tape that each had 1 yard 2 feet of tape in them how many inches of tape did miyoko buy?

Answers

Answer: 180 inch

Step-by-step explanation:

Given

Miyoko bought 3 packages of tape

Each tape has 1 yard and 2 feet of tape

[tex]1\ \text{yard}=3\ \text{foot}[/tex]

[tex]1\ \text{ft}=12\ \text{inch}[/tex]

converting yard to feet

[tex]\Rightarrow 3+2=5\ ft[/tex]

Convert feet to the inch

[tex]\Rightarrow 5\times 12=60\ \text{inch}[/tex]

For 3 tapes, it is

[tex]\Rightarrow 60\times 3=180\ \text{inch}[/tex]

Thus, the total tape is [tex]180\ \text{inch}[/tex]

The difference of two numbers is 22 and their is 76 find the numbers

Answers

Answer:

27

Step-by-step explanation:

a 76 le quitas la diferencia de 22 y da 54 que lo divides entre 2 y da 27 por lo que 27+27=54+22=76

Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.

Answers

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The mistake is made in line 4The mistake is in not taking the square root of both sides

Which is the correct completing the square method?

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The line Malik made a mistake is on line 4

The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104

given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answers

Answer:

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]

Therefore...

5x - 4y + 7 = 0

5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0

5x + [tex]5\frac{1}{3}[/tex]  - [tex]\frac{8}{9} x[/tex] + 7 = 0

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?

Answers

Answer:

No u

Step-by-step explanation:

Answer : M{A}=72

This is a triangle, meaning the total degree will be 180.

answer this question for 30 points and brainilest

Answers

Answer:

Volume of left side cylinder will be less than the volume of right side cylinder.

Step-by-step explanation:

Volume of a cylinder is given by the formula,

Volume = πr²h

Here, r = radius of the circular base

h = Height of the cylinder

Volume of the left hand cylinder = π(b)²a

Volume of the right hand cylinder = π(a)²b

It's given in the question that a > b

Let the value of a = 3 and b = 2

Then the volume of left hand cylinder = π(2)²(3)

                                                               = 12π

Similarly, volume of right hand cylinder = π(3)²(2)

                                                                 = 18π

Therefore, volume of left side cylinder will be less than the volume of right side cylinder.  

A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.

Answers

Calculate the side length of the enlarged picture

Answer:

Hence, final picture will have a side length of 1.02 foot

Step-by-step explanation:

Side length of square photo, s = 0.17

Original dimension = (0.17 by 0.17)

Enlarged photo = double the original dimension:

2 * (0.17 * 0.17)

(0.34 * 0.34)

Second enlargement = Tripling the new dimension:

3 * (0.34 * 0.34)

(1.02 * 1.02)

Hence, final enlarged dimension = (1.02 * 1.02)

Hence, final picture will have a side length of 1.02 foot

Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?

Answers

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

If a1=10 and an An-1 + 4 then find the value of
05.

Answers

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

can someone help me asap​

Answers

Answer:

a) hundreds

b) tens

c) hundreds

d) hundreds

Answer:

This is easy!!

Step-by-step explanation:

1. hundreds

2. tens

3. hundreds

4. hundreds

Hope this Helps!!

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.

Answers

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

suppose 70% of the 500 orders at a fast food restaurant include a drink what is the percentage as a part to whole ratio as well as a part to part ratio simplify each ratio​

Answers

Answer:

140

Step-by-step explanation:

Help needed for some geometry

Answers

In order to create a line parallel to line “I”, rotate line “I” 180° about points “F”. This can be done clockwise or counterclockwise.

Answer:

hope this help you. look it once.

A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.

Answers

Answer:

Bro u need to put in the graph or the chart or something

Step-by-step explanation:

Help

Help

Help

Help. Help help help help help help help help

Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?


A. doubling the number and then decreasing the result by 25%

B. increasing the number by 50%

C. multiplying the number by 1.25

D. multiplying the number by 2.5

Answers

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

How do you know if something is congruent? (scale Factors)

Answers

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

A fitness center charges $3 per visit plus a monthly fee of $30. How much would it cost in one month if Ella has 18 visits?
$48
$54
$84
$90

Answers

Answer:

84$

Step-by-step explanation:

It says it costs $3 per visit and Ella went 18 times

So we can describe that as x represents the times she has visited, x=18, so 3(18)

now we just add $30 dollars since she only went in one month and $30 is the fee per month so that would be (3*18=) 54+30

which would then give you $84 dollars!

hope it helps!!

Answer:

C.) $84

Step-by-step explanation:

help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty​

Answers

i think it is 96m^2 because math

This is a rectangular prism,

Here length = 16 m

Width = 6 m

Height = 3 m

Surface area of rectangular prism = 2( bl + lh + hb )

Where,

b – base length of the rectangular prism.

l – base width of the rectangular prism.

h – height of the rectangular prism.

Putting these values, surface area = 2(16×6 + 16×3+ 3×6)

= 2( 96+48+18) = 2×162 = 324m

hope you get it well :)

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