If a polynomial function f(x) has roots 3+

If A Polynomial Function F(x) Has Roots 3+

Answers

Answer 1

Answer:

Step-by-step explanation:

3+√5 is a root.

so 3-√5 is also a root

or (x-(3-√5)) is also a factor of f(x)


Related Questions

Solve the equation: √(y−1)^2 =15 Please help ASAP!! Thank you!!!

Answers

Answer:

Remove the radical by raising each side to the index of the radical.

y  =  226

Step-by-step explanation:

Jason enjoys watching the squirrels in his neighborhood park. They eat the red oak acorns. After the city removed 4 diseased red oak trees, the population of squirrels decreased from 105 to 98 in one year. If the population continues to decline at the same rate, how many squirrels will live in the park in 15 years? First, calculate the rate of decay by subtracting the two populations and dividing the difference by the initial population. Then, use the formula A=a0ekt

a. 0 squirrels
b. 95 squirrels
c 81 squirrels
d 34 squirrels ​

Answers

Answer:

0 squirrels

Step-by-step explanation:

If you subtract 98 from 105 then you get 7. That means that 7 squirrels will be lost per year. If you then multiply 7 by 15 (15 is the amount of years) then you get 105 and since there were 105 to start off with, there will be no squirrels left after 15 years.

Answer:

34 Squirrels

Step-by-step explanation:

7\ 105 ~0.07

A=Aoe^kt

A=98e^(-0.07•15)

A=98e^-.05

A=34.3~ 34 Squirrels

Choose the symbol that would make this problem correct a

Answers

The correct symbol would be a >

Answer: I will answer your question, but first you need to show me the problem.

Step-by-step explanation:

The volume of a cuboid of length 8m and breadth 5m is 200 cubic meter. Find its height

Answers

Hey!!

Given,

Length(l)=8m

Breadth(b)=5m

Volume of a cuboid(V)=200 m^3

Height(h)=?

Now,

Volume of a cuboid=l*b*h

or,200=8*5*h

or,200=40h

or,h=200/40

h=5 meter

The height is 5 meter.

Hope it helps

Good luck on your assignment

Answer:

[tex]height = 5m[/tex]

Step-by-step explanation:

[tex]volume = l \times b \times h \\ 200 = 8 \times 5 \times h \\ 200 = 40h \\ \frac{200}{40} = \frac{40h}{40} \\ h = 5m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

If Maria is trying to find 42% of 350 which of the following calculations will give her the correct answer?

Answers

Answer:

42% * 320

Step-by-step explanation:

it's 147

Step-by-step explanation:

42/100 ×350/1=147

HELP ASAP I WILL GIVE YOU THE POINTS !!!

What is the value of x?

Answers

Answer:

80

Step-by-step explanation:

70 + 30 = 100

180 - 100 = 80

Answer:

[tex]x = 80 \: \: degrees[/tex]

Step-by-step explanation:

[tex]70 + 30 + x = 180 \\ 100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

An expression that equivalent to 12x + 8

Answers

Answer:

4(3x+2)

Step-by-step explanation:

Just factor the expression.

An equivalent expression is,  4 (3x + 2)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 12x + 8

Now, We can find an equivalent expression as;

⇒ 12x + 8

⇒ 4 × 3x + 4 × 2

⇒ 4 (3x + 2)

Thus, An equivalent expression is,

⇒ 4 (3x + 2)

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You want to make a picture frame for a photo. The photo is 8 inches by 10 inches. How many feet of wood do you need?

Answers

Answer:

80 inches

Step-by-step explanation:

Your pretty much finding the area so you would multiply 8 x 10

Answer:

80 inches

Step-by-step explanation:

8x10

Find the equation of the line that is perpendicular to y = 1/4x – 2 and passes though the point (5, –2). A) y = –1/4x + 18 B) y = –1/4x – 22 C) y = –4x + 18 D) y = –4x – 22

Answers

Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

a dosage is changed from 15 mg per day to 12 mh per day. what is a percentage decrease

Answers

Answer:

20%

Step-by-step explanation:

dosage change from 15 mg/d to 12 mg/d

change= 15-12= 3

change %= 3/15*100%= 20% decrease

HELP!!! WILL MARK BRAINLIEST!!!

The following graph describes function 1, and the equation below it describes function 2. Determine which function has
a greater maximum value, and provide the ordered pair.
Function 1
Function 2
f(x) = -x2 + 2x - 3
Function 1 has the larger maximum at (1,4).
Function 1 has the larger maximum at (4,1).
Function 2 has the larger maximum at (1, -2).
Function 2 has the larger maximum at (-2, 1).

Answers

Answer:

the answer is function 1 has the larger max. at (4,1)

Step-by-step explanation:

draw function 2 : the vertex  is (1,-2)

the vertex of function 1 is (4,1)

The function 1 has a greater maximum value than function 2, and the ordered pair is (1,4).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = -x2 + 2x - 3

Now,

To find the maximum value of a function, we can use the vertex form of a quadratic equation, which is y=a(x−h)2+k

, where (h,k) is the vertex of the parabola. The maximum value of the function is the y-coordinate of the vertex.

For function 1, we can rewrite it as [tex]$$f(x) = -(x-1)^2 + 4$$[/tex]

by completing the square. This means that the vertex of function 1 is (1,4) and the maximum value is 4.

For function 2, we can rewrite it as

[tex]$$f(x) = -\frac{1}{4}(x+2)^2 - 2$$[/tex]

by completing the square. This means that the vertex of function 2 is (−2,−2) and the maximum value is -2.

Therefore, by the given function answer will be (1,4).

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Solve for a.
ab + c = d.

Answers

Answer:

a = (d-c)/b

Step-by-step explanation:

ab + c = d

ab = d -c

a = (d-c)/b

Answer: a = d - c/b

Explanation: To get a by itself, we first subtract c from both sides.

So we have ab = d - c.

Now divide both sides by b to get a = d - c/b.

Which statement is true about the value of StartAbsoluteValue negative 14 EndAbsoluteValue? StartAbsoluteValue negative 14 EndAbsoluteValue = negative 14 StartAbsoluteValue negative 14 EndAbsoluteValue less-than 14 It is the distance between –14 and 0 on the number line. It is the distance between –14 and 14 on the number line.

Answers

Answer:

(C)It is the distance between –14 and 0 on the number line.

Step-by-step explanation:

The absolute value of a number returns a positive value no matter te number inside the absolute sign.

Therefore, the absolute value of -14 is 14.

That is: [tex]|-14|=14[/tex]

It is the distance between -14 and 0 on the number line.

The correct option is C.

Answer:

C

Step-by-step explanation:

\frac{(2+4)^{4} }{2}
Plz Answer

Answers

Answer:

648

Step-by-step explanation:

[tex]\frac{(2+4)^{4} }{2}[/tex]=

[tex]\frac{6^{4} }{2}[/tex]=

[tex]\frac{1296}{2}[/tex]=

648

Use the unit circle to find the value of sin 3π/2 and cos 3π/2

Answers

Answer:

sin=-1

cos=0

Step-by-step explanation:

The sin of an angle on the unit circle is y value of that point. You can see that the y value of it is at -1. The cosine of the angle is the x coordinate, which you can see is 0. Hope this helps!

Slove the equation y+3=-y+9 on edge
A)y=1
B)y=3
C)y=6
D)y=9

Answers

Answer:

y + 3 = -y + 9

-y         -y

3 = -2y + 9

+2y  +2y

2y + 3 = 9

     -3     -3

2y = 6

y = 3

Alex is making a milkshake.She needs 1/3 cups of milk.She decided to add 1/4 more cups.How much milk is she putting into her milk shake?Be sure to show your equation

Answers

Answer:

7/12

Step-by-step explanation:

1/3 x4/4 = 4/12

1/4 x 3/3 = 3/12

4/12 + 3/12 = 7/12 = 5.83

Which of the following pairs of functions are inverses of each other?

Answers

you need an pic for an Answer:

Step-by-step explanation:

You need a picture for this question

Melanie had two $10 bills one$5 bill,four dimes, and six pennies. Then she bought a fruit cup for $2.19

Answers

Answer:

$23.27

Step-by-step explanation:

yes

The length of a spring varies directly with the mass of an object that is aftached to it. When a 30-gram object is attached, the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
vx
3
S =
10
3
3
M =
S
10
m =
1
30
S​

Answers

Answer:

s = [tex]\frac{3}{10}[/tex] m

Step-by-step explanation:

Given s varies directly with m then the equation relating them is

s = km ← k is the constant of variation

To find k use the condition s = 9 when m = 30 , thus

9 = 30k ( divide both sides by 30 )

k = [tex]\frac{9}{30}[/tex] = [tex]\frac{3}{10}[/tex]

s = [tex]\frac{3}{10}[/tex] m ← equation of variation

Please help in simplify these expressions

Answers

3. -8m^8

4. 30a^7
Hope that helped:))

The least common denominator of 1/3, 5/8, and 1/2 is:

Answers

Answer: 24

Step-by-step explanation:

You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

raming Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°.
They are alternate interior angles. Angle A
measures 125°.
They are vertical angles. Angle A measures 125°
They are corresponding angles. Angle A measures
55°

Answers

Answer:

Step-by-step explanation:

They are same side interior angles because same side interior angles equal 180º and 55+125=180

.
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project?
h c
0 485
3 510
8 535
12 560
h c
0 510
3 535
8 560
12 585
h c
0 485
3 560
8 685
12 785
h c
0 510
3 585
8 710
12 810

Answers

Answer:

Third

Step-by-step explanation:

h c

0 485

3 560

8 685

12 785

The table that shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project is third table.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that John paid $485 to build a deck.

And he will pay $25 per hour to his brother for building the deck.

one hour of work costs John $25 + $485 .

Total cost of building deck = $25 × h number of hours + $485

3 hour of work costs $25 × 3 = $75 + $485 = $560

8 hour of work costs = $25 × 8 = $200 + $485 = $685

12 hour of work costs = $25 × 12 = $300 + $485 = $785

Therefore, the third table suggests the total cost of work.

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On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming

these flowers rapidly increases as the trees blossom. The locust population gains 87% of its size every 2.4

days, and can be modeled by a function, L, which depends on the amount of time, t (in days).

Before the first day of spring, there were 1100 locusts in the population.

Write a function that models the locust population t days since the first day of spring.

L(t) =

Answers

Answer:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

Step-by-step explanation:

The locust population grows according to an exponential model with the following general formula:

[tex]L(t) = L_0*(1+r)^{\frac{t}{T}}[/tex]

Where 'L0' is the initial locust population, 'r' is the increase rate after 'T' days, and 't' is the time passed, in days.

Applying the given data, the function that models the locust population t days since the first day of spring is:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

please help ill mark you as brainlesit if correct!​

Answers

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Think, how many different variations are there? The answer is 16: 4 times 4=16

how many of these variations could be the same? lets check:

7 and 7    1

2 and 2  2

2 options out of 16, so the answer is 2/16 which can be simplified to:

[tex]\frac{1}{8}[/tex]

I hope this helps u!

Please give brainliests(i had 40 now for no reason down to 2 :.( ) and a thx ;)

Hi pls can someone help me

Answers

Answer:

divide 10, - 10

+10, divide 10

Step-by-step explanation:

Answer:

350 → D B → 25

350 → A D 36

Step-by-step explanation:

2nd question :

[tex]350 \div 10 = 35 \\ 35 - 10 = 25[/tex]

3rd question :

[tex]350 + 10 = 360 \\ 360 \div 10 = 36[/tex]


PLS HELP ASP HURRY BEST ANSWER GETS BRAINLESST AND FOLLOW

20. Is the is the combined mass of 2 red-footed macaws and three blue and gold macaws closer to 3 kilograms or 4 kilograms? explain

the graph helps!! pls answer asp​

Answers

Answer:

Step-by-step explanation:

First find total the weight of all red footed macaws whic is 525(2)=1050

and then the blue and gold macaws 800(3)= 2400

So add them both together yu get 3450grams or 3.45kg

So it is closer to 3kg because the total weight is under 3.5kg so that means you round down to 3kg. If it was 3.5kg you would round up to 4kg but their combined weight is not more than 3.45kg

Use the method of combining like terms to find the equivalent expression to 6u+2v+3u−7v−2.

Answers

Step-by-step explanation:

The like terms are 6u and 7u and also 2v and -7v so the answer is 9u - 5v - 2.

PLS HELP ASAP NEED FAST

Answers

Answer:

there is no mistake.

Step-by-step explanation:

the steps are all correct.

it cant be 'they should be divided' since that's not how it works.

it cant be 'tan 68 should be cos 68' since for cos we need [tex]\frac{adjacent}{hypotenuses}[/tex]

and since for tan it is [tex]\frac{opposite}{adjacent}[/tex] it cant be[tex]\frac{14}{x}[/tex]

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