Which polynomial is in standard form?

1 answer:

7 0

I do believe it’s the first and third option that are correct as for standard form you go from left to right starting with the highest exponent to the lowest and constantes will always be on the right side

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2. 4x + 5y = -30<br> Slope-standard form

Lerok [7]

Y=mx+c is the slope standard form
5y=-30-4x
5y=-4x-30
Y=-4/5x-6

7 0

2 years ago

Domain of f(x)=150x+2500

HACTEHA [7]

All real numbers would be the domain here

8 0

3 years ago

Read 2 more answers

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

The perimeter of a triangle is 27 centimeters. Two sides of the triangle are 7 centimeters and 13 centimeters. Find the length o

Studentka2010 [4]

I believe it’s the answer is 2.6

3 0

2 years ago

#20 four times the sum of number. and 15 is a least20. Let X represent the number. :find ball possible values for X

gayaneshka [121]

For this case what we have to take into account is the following variable:
x = represent the unknown number
We now write the following inequality:
"four times the sum of number and 15 is at least 20"
4 (x + 15)> = 20
We clear the value of x:
(x + 15)> = 20/4
(x + 15)> = 5
x> = 5 - 15
x> = - 10
The solution set is:
[-10, inf)
Answer:
all possible values for X are:
[-10, inf)

6 0

3 years ago