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3 years ago

Use complete sentences to describe how making an ‘and’ compound sentence effects your solution set.

1 answer:

7 0

“And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

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What is the factored form of 6n4 – 24n3 + 18n?

seropon [69]

Answer: Its factored form will be

$6n(n-1)(n^2-3n-3)$

Step-by-step explanation:

Since we have given that

$6n^4-24n^3+18n$

So, we need to factor ,

$6n(n^3-4n^2+3)$

Now,

$\text{Let }p(n)=n^3-4n^2+3$

Now, by hit and trial method, we put n=1,

$p(1)=1^3-4\times1^2+3=1-4+3=1-1=0$

$n=1\\n-1=0$

So, n-1 is also factor of p(n).

Now,

$\frac{n^3-4n^2+3}{n-1}=n^2-3n-3$

So, its factored form will be

$6n(n-1)(n^2-3n-3)$

8 0

3 years ago

Read 2 more answers

ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?

krok68 [10]

Answer:

The correct answer is option B. 17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ = (6m – 12)°

(6m – 12)° = 90°

6m = 90 + 12 = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B. 17

8 0

3 years ago

Read 2 more answers

See attached picture, is there a way to enter equations or algebraic symbols?

coldgirl [10]

SOLUTIONS

Solve a given equations or algebraic symbols?

$\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}$

(A)

$\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}$

(B)

$\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}$

(C)

$\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}$

(D)

$\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}$

5 0

1 year ago

Find the value of n in 2m-3n = 6 and 2m + 6n = 12.

Nezavi [6.7K]

Answer:

n = 2/3

Step-by-step explanation:

2m - 3n = 6

– 2m + 6n = 12

____-____-___

-9n = -6

n = -6/-9

n = 2/3

Hence, the value of n in the given equations is 2/3.

4 0

2 years ago

If a ray lays in a plane, how many points of the ray are also in the plane?

Over [174]

The answer is a all of the points

6 0

3 years ago

Read 2 more answers