I dont know how to do this... Please help :)

Answers

Answer 1

Answer:

Answer:

i think it is undefined

Step-by-step explanation:

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50 is 6.25% of what number?

Answers

Answer:

800

Step-by-step explanation:

Answer:

i think its 800

Step-by-step explanation:

taking the test

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k= ____________

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

$2x^3 + 18x^2 -18x -162 = 2(x+k)(x-k)(x+9)$

$2(x+k)(x-k)(x+9) =2x^3 + 18x^2 -18x -162$

$2(x^2-k^2)(x+9)=2x^3 + 18x^2 -18x -162$

$2(x^3+9x^2-k^2 x+9k^2)=2x^3 + 18x^2 -18x -162$

$2x^3 + 18x^2 -2k^2x+18k^2= 2x^3 + 18x^2 -18x -162$

comparing both sides

$2k^2 =18$

$k^2=9$

$k=3$

hence answer is k = 3(plus/minus) : Answer

Hope it will help :)

Your Answer:

k = 3

Hope this helps y'all :)

1.What is the simplified form of each expression?7x^–8 × 6x^3

a. 42/x^5
b. 1/42x^5
c. 42x^11
d. 13x^–5

(–2x8) · 3y9 · 2x4

a. 3x^12y^9
b. –12x^72y^9
c. –12xy^21
d. –12x^y^9

2. Find the simplified form of the expression. Give your answer in scientific notation.

(8 x 10^7) (7 x 10^4)

a. 1.5 × 10^12
b. 5.6 × 10^12
c. 1.5 x 10^29
d. 5.6 x 10^29

(7 × 10^–4)(9 × 10^–10)

a. 6.3 × 10^–13
b. 63 × 10^–13
c. 6.3 × 10^–15
d. 6.3 × 10^–16

Answers

Answer with explanation:

Ques 1)

We are given a expression as:

$7x^(-8)* 6x^3$

It could also be written as:

$(7* 6)* x^(-8)* x^3\n\n\n=42* x^(-8+3)\n\n\n=42x^(-5)\n\n\n=(42)/(x^5)$

Option: a is the answer.

$(-2x^8)* 3y^9* 2x^4$

which is solved as follows:

$(-2* 3* 2)* x^8* y^9* x^4\n\n\n=-12x^(8+4)* y^9\n\n\n=-12x^(12)y^9$

Ques 2)

The expression is:

$(8* 10^7)(7* 10^4)$

It is solved as:

$=(8* 7)* 10^7* 10^4\n\n\n=56* 10^(7+4)\n\n\n=56* 10^(11)\n\n\n=5.6* 10^(12)$

Option: b is the answer.

$(7* 10^(-4))(9* 10^(-10))$

On simplifying:

$=7* 9* 10^(-4)* 10^(-10)\n\n\n=63* 10^(-4-10)\n\n\n=63* 10^(-14)\n\n\n=6.3* 10^(-14+1)\n\n\n=6.3* 10^(-13)$

Option: a is the answer.

This is a value of the variable that makes the equation a true statement

Answers

That would be called the solution

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10, and 15. Is there a direct variation between a triangular number and its position in the sequence?

Answers

As observed in the given triangular numbers, 1, 3, 6, 10, and 15, the first two differ by 2. The second and the third, differ by 3. The third and fourth differ by 4 and the last two differ by 5. From this, it can be concluded that the difference between the triangular numbers from an arithmetic sequence with 2 as the first term and common difference of 1.

No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.

Find the values of x,y,z. This diagram is not a scale.

Answers

Important:
   The sum of the three angles inside
      every triangle is always 180°.

First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
   x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°).    z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
   y = 63° .

Answer:

c. x= 76, y= 63, z= 104

Step-by-step explanation:

First, you have to use the InteriorAnglesTheorem[m<1 + m<2 + m<3 = 180°] to find the m<x:

46° + 58° + 76° = 180°

Now that you have the m<x, to find the m<z, you have to use the SupplementaryAnglesTheorem,which statesthat two angles [in this case] add up to 180°:

76° + 104° = 180°

Finally, to find the m<y, you again have to use the InteriorAnglesTheorem:

13° + 63° + 104° = 180°

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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