I will give brainiest to whoever answers correctly !!

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

x² + y² + z² = 3(2x - y) - 1

x² + y² + z² = 6x - 3y - 1

x² - 6x + y² + 3y + z² = -1

(x - 3)² + (y + 1.5)² + z² = -12.25

(x - 3)² + (y + 1.5)² + z² = -(3.5)²

Since it follows the general equation form, it is a sphere.

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

3x = 252

3        3

x = 84

Answer:

here u go

Step-by-step explanation:

its 9/5 or 1.8. Also 1 to 4/5

Answer:

ok we know the box means 90 degrees and one corner is 63 degrees so in order to get 180 degrees we add 90+63 which is 153 then we take that away from 180 so the answer is 17

Answer:

x = 59.4°

Step-by-step explanation:

Reference angle = x

Side opposite to x° = 22

Adjacent side = 13

To find x, apply trigonometric ratio formula. Thus:

[tex] tan(x) = \frac{22}{13} [/tex]

[tex] x = tan^{-1}(\frac{22}{13}) [/tex]

[tex] x = 59.4 [/tex] (nearest tenth of degree)

Answer: CHAA

Step-by-step explanation:

Step-by-step explanation:

Slope of the mountain

= Rise in height / Run in distance

= (4215ft - 3720ft) / 5 mi

= 495ft / 5mi

= 99ft/mi. (C)

Answer:

Step-by-step explanation:

The first one is 20%

The second one is 95%

(Can you take another picture so I can see the rest)

9514 1404 393

Answer:

  3/7 acres per hour

Step-by-step explanation:

To find acres mowed per hour, divide acres mowed by hours:

  (3/4 ac)/(1 3/4 h) = (3/4)/(7/4) ac/h = 3/7 ac/h

Ginger's unit rate is 3/7 acres per hour.

Answer: 3/7!

Step-by-step explanation:

Answer

ADC and BDC

Explain:

Answer:

Same like other users

Answer:

24x – 18

6(4x-3)is required factor.

Answer:

A

Step-by-step explanation:

Hi! I think the answer is gonna be B! I could be wrong but that’s what I worked it out to! Good luck on the edge thing!!

Answer:

12 miles

Step-by-step explanation:

sometimes looking at the units is helpful.

How far Tristan will walk is measured in miles.

3 miles/hour * 4 hours has a unit of miles * hour/hour = miles

3*4 = 12

Answer:

12 Miles

Step-by-step explanation:

Multiply 3 by 4

Answer: 3 dollars for a book.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

34.5%

I'm not sure.

but I'm quite sure.

Answer:

The percent markup is 300%

Step-by-step explanation:

15.75 = 1575%

18.75 = 1875%

1875% - 1575% = 300%

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

https://brainly.com/question/395066

#SPJ2

Answer:

the answer is 3x^2 + 8x + 1

Step-by-step explanation:

(I used x as the variable due to the invalid difference of variables in your question )

To find the correct answer, I had to use polynomial division.

(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)

= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)

= 3 x 2 + 8 x + 1

Answer:

a) the required probability is 0.0013

b) the required probability is 0.0288

c) the required probability is 0.9759

Step-by-step explanation:

Given the data in the question;

let x be the thickness measurements

Given that X follows a Normal distribution with mean μ = 5.4

standard deviation σ = 0.8

then z = x-μ / σ = x-5.4 / 0.8   follows standard Normal

a) probability that the thickness is less than 3.0 mm

P( x<3 ) = P( x-5.4 / 0.8  <  3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013

Therefore, the required probability is 0.0013

b) the thickness is more than 7.0 mm

P( x>7 ) = P( x-5.4 / 0.8  >  7-5.4 / 0.8 ) = P( Z > 2.00)

= 1 - P( Z ≤ 2)

= 1 - 0.9772

= 0.0288

Therefore, the required probability is 0.0288

c) the thickness is between 3.0 mm and 7.0 mm

P(3< x<7 ) = P( x<7) - P(x<3)

= P( x-5.4 / 0.8  >  7-5.4 / 0.8 )  - P( x-5.4 / 0.8  <  3-5.4 / 0.8 )

= P( Z< 2 ) - P( Z < -3)

= 0.9772 - 0.0013

= 0.9759

Therefore, the required probability is 0.9759

Answer:

Closer to 1/2

Step-by-step explanation:

Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.

Answer:

1/2

Step-by-step explanation:

Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)

Answer:

Right

Straight

Obtuse

Acute

IN THE ORDER YOU PUT THE PICTURE!!

Step-by-step explanation:

Answer:

The First is right, Second is Straight, Third is Obtuse and, Forth is Acute

Step-by-step explanation:

I am smart

Answer:

a = c2 +b2

Step-by-step explanation:

18=10000 + 784

10784 ÷ 18

599.111111 BUT ROUNDED WOULD BE 600.00

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

Answer:

Answer is B

Step-by-step explanation:

P(x<2) - P(x<-2) = .9772 - .0228 = .9544

= 95%

Also so, the answer to this is; The volume of the prism is less than 72 cubic units.

Why is this the answer?

The actually cubic units for that is actually 54 cube units which if you think is;        54 < 72

Answer:

The volume of the prism is less than 72 cubic units.

Here's what I did:

6x3x3

Which is length x height x width or it can be the other way around it really doesn't matter I think

Answer:

1.2075

Step-by-step explanation:

Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)

Answer: 1.2075

Step-by-step explanation:

multiply 0.69*1.75 and u will get 1.2075

Answer:

No 27 does not equal 72

Step-by-step explanation:27 is not even an even number but 72 is

Answer:

46.2

Step-by-step explanation:

46.188= 46.2