Mathematics High School

Please help! I really need to get the answer correct

Answers

Answer 1

Answer:

x + 9y²

Step-by-step explanation:

A prime polynomial is simply an irreducible polynomial.

x + 9y² is a prime polynomial

First, we test the options.

x + 9y²

The above function cannot be reduced further.

Hence, x + 9y² is a prime polynomial

3m + 9n

Factor out 3

3 (m + 3n)

3m + 9n is not a prime because it can be factored as 3 (m + 3n)

8x^7 - 9x + 12x²

Factor out x

x(8x^6 - 9 + 12x)

8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)

Hence, x + 9y² is a prime polynomial

Related Questions

Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec

Answers

The time it takes for a rocket to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket to hit the ground is 3 seconds

what is the hcf of 18 27 and 81 by prime factorization

Answers

Answer:

Step-by-step explanation:

It's been a while since i've dealt with prime factors hopefully this is correct.

the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q

Answers

Answer:

p = 3 and q = - 4

Step-by-step explanation:

Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q

px + y = 3 , then

2p - 3 = 3 ( add 3 to both sides )

2p = 6 ( divide both sides by 2 )

p = 3

and

x + 2y = q , then

2 + 2(- 3) = q

2 - 6 = q , so

q = - 4

Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

graph ab

Step-by-step explanation:

Answer: A. Graph A

Step-by-step explanation:I just did it and got it right...

Identify the shapes in the picture

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Answer:

we're are the images pls

Find the slope. simplify if needed.

(-10,5) and (2, -3)

Answers

-2/3 is the slope , hope this helps

Is - 1/2 equivalent to 1/-2

Answers

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

Please mark as Brainlliest!!!

prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]

Answers

Consider LHS

(sinθ/1+cosθ) + (1+cosθ/sinθ) =

= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]

= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]

= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]

[°.° (a+b)² = a²+2ab+b²]

Here, a = 1, b = cosθ

= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]

= [1+1+2cosθ]/[(1+cosθ)sinθ]

[°.° sin²θ+cos²θ = 1]

= [2+2cosθ]/[1+cosθ)sinθ]

= [2(1+cosθ)]/[(1+cosθ)sinθ]

= 2/(sinθ)

[°.° 2/sinθ = cosecθ]

= 2cosecθ = RHS.

Hence, Proved.

Read more:

Answers

Answer:

Step-by-step explanation:

(3x +3) + (5x-2) + (3x+3) =180

3x +3 + 5x-2 + 3x+3 =180

11x +4=180

11x =180-4

11x=176

x=176/11

x= 16

Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point

Answers

(x,y)= (68.939,-45.939)

It took 5 days for a committee of 7 pupils to clean the auditorium for the school program. How many days would have taken the committe of 10 pupils to do the same work?

Answers

Answer:

3.5 days

Step-by-step explanation:

If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.

1 pupil alone cleans the auditorium is 35 days.

10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.

can someone help me please

Answers

Answer:

3: 55 degrees

4: 128 degrees

Step-by-step explanation:

A straight line is 180 degrees and so you do 180-125 to get 55 degrees

180-58 is 128 degrees

Help me with this question please!! Show all work

Answers

The answer is 439.

3+(1/(7+1/15) = 333/106

333+ 106 = 439.

Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)

Answers

Answer:

A = 8a + [tex]\frac{1}{2}[/tex]πa²

Step-by-step explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )

= [tex]\frac{1}{2}[/tex]πa²

Then area (A ) of figure is

A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term

= [tex]\frac{1}{2}[/tex] a(16 + aπ)

25 points! I really need some help.

Answers

Answer:

c ≤ 4 1/3

Step-by-step explanation:

10.25 + 2.25c ≤ 20 solve the equation if there was an = in the equation

10.25 + 2.25c = 20

-10.25 = -10.25

2.25c = 9.75

c = 9.75 ÷2.25

c = 4.3333

[tex]c = 4\frac{1}{3}[/tex]

Now replace the ≤ into the equation:

c ≤ 4 1/3

If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?

Answers

Answer:

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.

Step-by-step explanation:

plz help look at the pic below

Answers

Answer:

You can use the exponential rule where

[tex](n^x)^y=n^{xy}[/tex]

Therefore,

[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]

[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]

(a^m)^n=a^mn

[tex]\\ \rm\leadsto a^{-6}[/tex]

[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]

Solve pls brainliest

Answers

Answer:

$180

Step-by-step explanation:

simple interest means that interest is paid every year on the original $200

To find 3% of 200, you multiply 200(.03) = $80.

$200(3)=$60

Since the interest is the same, 3(60) = $180

Hope this helps

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

5.39

Step-by-step explanation:

To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:

5² + 2² = x²

Which, simplified, is:

25 + 4 = x²

And to get x, you do:

x=√(29)

So, if you want it to the nearest hundredth, it is 5.39.

square root of 29.00

Step-by-step explanation:

5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29

HELP PLEASE AHH I WILL GIVE BRAINLIEST

Answers

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answers

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

Sup!! can you answer this?
also answer fast kid

Answers

Answer:

try d) 17 m

sorry if it's wrong

A toy rocket is launched from the ground, the equation

h= -16t^2+ 80t, models the height of the rocket h in feet at any timet

in seconds.

For which interval of time will the rocket be higher than 64 feet off the

ground?

Answers

Answer:

Step-by-step explanation:

We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.

Graphing:

A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.

Solving:

h= -16t^2+ 80t

64 = -16t^2+ 80t

-16t^2+ 80t - 64 = 0

Solve using the quadratic formula:

We get two answers: 1 and 4 (seconds)

What is the approximate area of a circle with a diameter of 10in

Answers

Answer:

A≈78.54in²

Step-by-step explanation:

Can I have brainliest pls?

Find the slope of the line y=-1/4x+1

Answers

Answer:

slope is -1/4 the number before the x is the slope

Step-by-step explanation:

Answer:

The slope is -1/4

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/4x +1

The slope is -1/4 and the y intercept is 1

Find x. please help me!!

Answers

Answer:

I want to say B.

Step-by-step explanation:

miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following

roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

roots of the quadratic equation ~

[tex]2 \: \: \: \:a nd \: \: - 10[/tex]

discriminant ~

[tex]144[/tex]

nature of roots ~

[tex]real[/tex]

sum of the roots ~

[tex] - 8[/tex]

product of the roots ~

[tex] - 20[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve he given quadratic equation using quadratic formula ~

Let's consider the following values ~

b (Coefficient of x) = 8

a (Coefficient of x²) = 1

c (Constant term) = -20

According to quadratic formula, the roots are ~

[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]

where, ( b² - 4ac ) is known as it's discriminant ~

that is equal to ~

[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex]

[tex]64 - ( - 80)[/tex]

[tex]64 + 80[/tex]

[tex]144[/tex]

Hence, Discriminant = 144

And since discriminant is positive, then the roots of the quadratic polynomial are real .

Let's find the roots now ~

[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex]

[tex] \dfrac{ - 8 \pm12}{2} [/tex]

[tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex]

[tex] - 4 \pm6[/tex]

So, the two roots are ~

[tex] - 4 + 6[/tex]

[tex]2[/tex]

and

[tex] - 4 - 6[/tex]

[tex] - 10[/tex]

Sum of roots ~

[tex] - 10 + 2[/tex]

[tex] -8[/tex]

product of roots ~

[tex] - 10 \times 2[/tex]

[tex] - 20[/tex]

Yes this can be correct just depends on if you do it

Which expression is equivalent to 4(6 - 2x) ?

Answers

Answer:

Option A

Step-by-step explanation:

[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]

Hope this helps.

Are the ratios 2:3 and 8:12 equivalent? Justify you answer.

Answers

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

solve pls brainliest

Answers

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15

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