1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelechka [254]
3 years ago
14

If s and t are integers greater than 1 and each is a factor of the integer n, which of the following must be a factor of n st ?

I. \small s^{t} II. \small \left ( st \right )^{2} III. \small s+tA) NoneB) 1 onlyC) 2 onlyD) 3 onlyE) 1 and 2
Mathematics
1 answer:
yulyashka [42]3 years ago
4 0

Answer:

A) None

Step-by-step explanation:

1) s^t shoudnt neccesarily be a factor of nst, for example, if s = 3, t = 4, and n = 12, then both s and t are factors of n, but 3^4 = 81 is not a factor of nst = 144.

2) (st)^2 shoudnt neccesarily be a factor of nst. Let s be 4, let t be 6, and let n be 12. Then n is a factor of both s and t, but (st)^2 = 24^2 is not a factor of nst = 12*24. In fact, it is a greater number.

3) Again, s+t isnt necessarily a factor of nst, let s be 2 and t be 3. Then both s and t are factor of n = 12. However 5 = s+t is not a factor of nst = 72.

So, neither of the three options is guaranteed to be a factor of nst. In fact, for s = 4, t = 6, and n = 12, none of the three options are valid.

You might be interested in
Rewrite the expressions below by completing the square.
Mrrafil [7]

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

3 0
2 years ago
Hello can somedy help me please <br> thank you in advance
alina1380 [7]

Answer:

Area of the circle=πr²

= 3.142 \times  {4}^{2}  \\  = 50.272cm \\  = 50.3cm

4 0
3 years ago
X+y=4 and x-y=6 substitution
vlabodo [156]
Y = -1
x = 5
jeng jeng jeng
4 0
3 years ago
Read 2 more answers
Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.
Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

y=ax^2+bx+c

Here the vertex of an up - down facing parabola has a form of,

x_v=-\dfrac{b}{2a}

The parameters we have are,

a=-5,b=-10, c=6

Plug them in vertex formula,

x_v=-\dfrac{-10}{2(-5)}=-1

Plug in the x_v into the equation,

y_v=-5(-1)^2-10(-1)+6=11

We now got a point parabola vertex with coordinates,

(x_v, y_v)\Longrightarrow(-1,11)

From here we emerge two rules:

  • If a then vertex is max value
  • If a>0 then vertex is min value

So our vertex is minimum value since,

a=-5\Longleftrightarrow a

Hope this helps.

r3t40

7 0
3 years ago
I really need help on this
enyata [817]

Answer:

a is correct

Step-by-step explanation:

it is correct because we are adding

8 0
3 years ago
Read 2 more answers
Other questions:
  • Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who takes 5 seconds to walk 25 feet?
    7·1 answer
  • Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.
    8·1 answer
  • Solve for a -4+2(3a-5)=(1-1a)
    15·1 answer
  • You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How
    9·2 answers
  • You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which
    5·1 answer
  • Identify the initial value of this sequence. 7, 13, 19, 25, 31, 37, 43 ​
    15·1 answer
  • Help pleas brainliest promised if right
    14·2 answers
  • Please help Omg please please please I’m praying somebody helps
    8·1 answer
  • 8- (-3) = please help me ​
    11·2 answers
  • Factor this:<br> 18x^2+39x-15
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!