⚠️⚠️ What’s the slope and intercept B ⚠️⚠️
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Answer:

I'm pretty sure that this one is the correct factorization of the polynomial above: c) (3x+4)(9x^2-12x+16)

(3x−4)⋅(9x  

2

+12x+16)

See steps

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

 33x3 -  64

STEP

2

:

Trying to factor as a Difference of Cubes

2.1      Factoring:  27x3-64  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  27  is the cube of  3  

Check :  64  is the cube of   4  

Check :  x3 is the cube of   x1

Factorization is :

            (3x - 4)  •  (9x2 + 12x + 16)  

Trying to factor by splitting the middle term

2.2     Factoring  9x2 + 12x + 16  

The first term is,  9x2  its coefficient is  9 .

The middle term is,  +12x  its coefficient is  12 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   9 • 16 = 144  

Step-2 : Find two factors of  144  whose sum equals the coefficient of the middle term, which is   12 .

     -144    +    -1    =    -145  

     -72    +    -2    =    -74  

     -48    +    -3    =    -51  

     -36    +    -4    =    -40  

     -24    +    -6    =    -30  

     -18    +    -8    =    -26  

For tidiness, printing of 24 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 (3x - 4) • (9x2 + 12x + 16)

Answer:

C

Step-by-step explanation:

When factorising the sum of cubes, we use the formula

a^3+b^3=(a+b)(a^2−ab+b^2).

In this case of 27x3+64,

27x^3=a^3

64=b^3

Find a:

27x^3=a^3

3^√27x^3=3^√a^3

3x=a

Find b:

64=b^3

3^√64=3√b^3

4=b

Substitute a=3x and b=4 into

 (a+b)(a^2−ab+b^2)

(3x+4)((3x)^2−(3x×4)+4^2)

= (3x+4)(9x^2−12x+16)

(3x+4)(9x^2−12x+16) is the factorised form of 27x^3+64

Answer:

7.71$

Step-by-step explanation:

12 pounds = 92.52$

price/12 pounds {divided by} 12 = price/pound

92.52$ {divided by} 12 = 7.71$

Answer: 7.71

Step-by-step explanation:

Answer:

[tex]2\sqrt{21}[/tex]

Step-by-step explanation:

84/4=21

Square root of 4=2

[tex]2\sqrt{21}[/tex]

Answer:

D

Step-by-step explanation:

it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)

Answer:

d) subtract 15 from both sides

Step-by-step explanation:

Process of elimination:

a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.

b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.

c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.

That leaves us, with (d), because you need to subtract 15 to isolate "x".

Answer:

YES IT IS A PERFECT SQUARE

Step-by-step explanation:

equate the equation to zero

x^2+8x+16=0

c is the product while the coefficient of b is the sum

P=16

S=8

find a pair of numbers that the product is 16 and the sum is 8

the numbers are (4,4)

(x^2+4x) (4X+16)

ignore 8x and arrange as shown above

then bracket the equation

x(x+4)+4(x+4)

you simplify and remain with (x+4) (x+4)

having similar roots making it a perfect square

Answer:

B. At most 4 times

Step-by-step explanation:

Plz mark me brainlest! Hope this helps you!

Answer:

At least 4 times

Step-by-step explanation:

3t + 10 >= 22

   -10        -10

3t >= 12

/3     /3

t >= 4

when you leave the Nintendo switch will have 96% and the phone will have 84%,he should ask his parents for about 20 more minutes.

Answer:

when they leave, the phone would be charged 80% and the nintendo 36%. They would need to delay the road trip for 76.8 more minutes for the nintendo to fully charge and 50 minutes for the phone to fully charge

Step-by-step explanation:

Answer:

y= -x+7, b= sqrt(2P/a), c=3P^2-b

Step-by-step explanation:

First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will      get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.

Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).

Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.

Answer:

it looks like it is Addition Property Of Equality

Step-by-step explanation:

Answer: It's 4

Step-by-step explanation: 12-8 is 4, 4-3 is 1

Answer:

x= 0.5

Step-by-step explanation:

It makes sense

The value of x is 1/2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

–3x + 1 + 10x = x + 4

Now, solving for x

-3x+ 10x - x = 4 - 1

7x - x = 3

6x = 3

x= 3/6

x= 1/2

Hence, the value of x is 1/2.

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Answer:

A. No solutions

Step-by-step explanation:

2x-2x=-9

0= -9

Since 0 does not equal -9, there are no solutions.

Answer: 8/15

Step-by-step explanation:

(-4/5) divided by (-3/2) becomes (-4/5) x (-2/3) because when dividing fractions, change it to multiplication and flip the divider (in this case -3/2)

Multiply numerators to get 8 and denominators to get 15 resulting in 8/15

Answer:5.4

Step-by-step explanation:

Answer:

n ≥ -4

Step-by-step explanation:

-3/4n ≤ 3

-4/3(-3/4n) ≤ 3(-4/3)

n ≥ -12/3

n ≥ -4

CHECK:

correct

-3/4(-4) ≤ 3

12/4 ≤ 3

3 = 3

correct

-3/4(5) ≤ 3

-15/4 ≤ 3

-3.75 < 3

incorrect

-3/4(1) ≤ 3

-3/4 is not ≤ 3

Answer:

3 benches needed

Step-by-step explanation:

Answer:

3 benches

Step-by-step explanation:

4 people to one bench

12 people divided by 4 = 3 benches

Answer:

it is an acute angle

Step-by-step explanation:

less then 90° is a acute and above 90° angle is an obtuse

Answer:

- 40p + 13

Step-by-step explanation:

Given

3 - 10(4p - 1) ← distribute the parenthesis by - 10

= 3 - 40p + 10 ← collect like terms

= - 40p + 13

Answer: Part A -

12= b+g

Part B-

a finite number of solutions

the number of boys or girls must be a natural number

Part C- (7,4, 4,6)

Step-by-step explanation:

The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.

Given that,

An equation is,

- 4(2x - 3) = 36

Here, Jake's solution to the equation - 4(2x - 3) = 36 is,

-4(2x - 3) = 36

Apply distributive property,

-8x + 12 - 36

- 8x + 12 - 12 = 36 - 12

Subtract 12 on both sides,

-8x = 24

x = - 24/8

x = - 3

So, the solution x = -3 represents a single value of x that is equal to -3.

Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.

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Answer:

it is makeing me do it

Step-by-step explanation:

Answer:

200 hits

Step-by-step explanation:

step1 : £5-1000

           £1-?

step2: 1000 /5

=200

Answer:

not enough info

Step-by-step explanation:

For a polynomial of the form

ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅3=9 and whose sum is

b=10.

3x2+x+9x+3

Factor out the greatest common factor from each group.

x(3x+1)+3(3x+1)

Factor the polynomial by factoring out the greatest common factor,

3x+1.(3x+1)(x+3)

Your answer is A.

Answer with step-by-step explanation:

When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).

Hope this was helpful!

Answer:

SEE BELOW

Step-by-step explanation:

INTERRIOR ANGLES

3.

∠A + ∠B + ∠C = 180

(180 - 103) + (3x - 14) + (3x + 9) = 180

6x = 180 - 77 + 14 - 9

x = 108 / 6

x = 18

m∠ACB = (3x - 14)

             = 3(18) - 14

             = 40

m∠ABC = (3x + 9)

              = 3(18) + 9

              = 63

-------------------------------

INTERRIOR ANGLES

4.

∠A + ∠B + ∠C = 180

(180 - 97) + (2x + 2) + (14x - 1) = 180

16x = 180 - 83 - 2 + 1

x = 96 / 16

x = 6

m∠BCA = 2x + 2

             = 2(6) + 2

             = 14

m∠ABC = 14x - 1

             = 14(6) - 1

             = 83

-------------------------------

EXTERIOR ANGLES

5.

∠B

180 - 15x + 20

15x = 180 + 20

   x = 200/15

   x = 13.33

∠C

180 - 9x + 10  

9x = 190

 x = 190/9

 x = 21.11

∠E

180 - 17x + 2

17x = 182

  x = 182/17

  x = 10.706

m∠BEF = 17x + 2

             = 17 (10.706) + 2

             = 184

m∠ABC = 15x + 20

             = 15(15.33) + 20

             = 220

-------------------------------

EXTERIOR ANGLES

6.

first solve x by adding all the interior angles = 180

∠B + ∠E + ∠C = 180

2x + x + 93 = 180

3x = 180 - 93

x = 87/2

x = 43.5

m∠BEC = 360 - x

             = 360 - 43.5

             = 316.5

m∠ABC = 180 - 2x

             = 180 - 2(43.5)

             = 93

Answer: 9

Step-by-step explanation:

Answer:

A::True

Step-by-step explanation:

For the quadratic function the domain is all real numbers since the horizontal extent of the graph is the whole real number line. Because the graph does not include any negative values for the range, the range is only non-negative real numbers.

Answer:

3/4(2x+1)=2

3/2x+3/4=2

3/2x=2 -3/4

3/2x=-10/4

3/2x(2)=-10/4(2)

3x= -5/2

3x/3 = -5/2 * 1/3

x= -5/6