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
tatiyna
3 years ago
9

Cristian says that when you raise a base number to a power of 3, it is impossible for the number to get smaller. Do you agree or

disagree? Justify (prove) your answer.
Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer: I disagree

Step-by-step explanation:

I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.

For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:

= -2^3 = -2 × -2 × -2 = -8

In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.

denoted 5

You might be interested in
0.5 of what number is 22?​
klio [65]

Answer:

44

Step-by-step explanation:

if you multiply 44 by 0.5(same as dividing it by 2), then you will get 22.

6 0
3 years ago
Read 2 more answers
Select the correct answer.
suter [353]

Answer:

The answer is C. Sell

Step-by-step explanation:

Just took the test on Plato

#PlatoLivesMatter

#YeetLife

8 0
3 years ago
For which value(s) of the constant k is the circle x² + (y − k)² = 16 tangent to the line y = 3?
STALIN [3.7K]

<em>Answer:</em>

<em />

<em>Step-by-step explanation:Let us find points of intersection of line  </em>

<em>3 </em>

<em>x </em>

<em>+ </em>

<em>4 </em>

<em>y </em>

<em>− </em>

<em>k </em>

<em>= </em>

<em>0 </em>

<em> and circle  </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>y </em>

<em>2 </em>

<em>= </em>

<em>16 </em>

<em>. We can do this by putting value of  </em>

<em>y </em>

<em> from first equation i.e.  </em>

<em>y </em>

<em>= </em>

<em>k </em>

<em>− </em>

<em>3 </em>

<em>x </em>

<em>4 </em>

<em> and we get </em>

<em> </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>( </em>

<em>k </em>

<em>− </em>

<em>3 </em>

<em>x </em>

<em>) </em>

<em>2 </em>

<em>16 </em>

<em>= </em>

<em>16 </em>

<em> </em>

<em>or  </em>

<em>16 </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>k </em>

<em>2 </em>

<em>+ </em>

<em>9 </em>

<em>x </em>

<em>2 </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>x </em>

<em>= </em>

<em>256 </em>

<em> </em>

<em>i.e.  </em>

<em>25 </em>

<em>x </em>

<em>2 </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>x </em>

<em>+ </em>

<em>k </em>

<em>2 </em>

<em>− </em>

<em>256 </em>

<em>= </em>

<em>0 </em>

<em> </em>

<em>This would give two values of  </em>

<em>x </em>

<em> and corresponding two values of  </em>

<em>y </em>

<em> i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e. </em>

<em> </em>

<em>( </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>) </em>

<em>2 </em>

<em>− </em>

<em>4 </em>

<em>⋅ </em>

<em>25 </em>

<em>⋅ </em>

<em>( </em>

<em>k </em>

<em>2 </em>

<em>− </em>

<em>256 </em>

<em>) </em>

<em>= </em>

<em>0 </em>

<em> </em>

<em>or  </em>

<em>− </em>

<em>64 </em>

<em>k </em>

<em>2 </em>

<em>+ </em>

<em>25600 </em>

<em>= </em>

<em>0 </em>

<em> or  </em>

<em>k </em>

<em>= </em>

<em>± </em>

<em>20 </em>

<em> </em>

<em>graph{(x^2+y^2-16)(3x+4y-20)(3x+4y+20)=0 [-10, 10, -5, 5]}</em>

5 0
4 years ago
Read 2 more answers
If f(x)=x/2-2and g(x)=2x^2+x-3 find (f+g) (x)
olya-2409 [2.1K]

Answer:

C   2x^2 + 3/2x -5

Step-by-step explanation:

f(x)=x/2-2

g(x)=2x^2+x-3

(f+g) (x)=x/2-2+2x^2+x-3

Combine like terms

           2x^2 + 3/2x -5

4 0
4 years ago
Let f(x) = 3x - 7. What is f(1)?
Ipatiy [6.2K]

Answer:

no

negative 4 i think im dumb tho

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x?
    9·1 answer
  • Solve for x: −5|x + 1| = 10 (1 point) x = 0 x = −3 and x = 1 x = −1 and x = 3 No solution
    5·1 answer
  • How whould you test whether 7 is a factor of 291
    15·2 answers
  • Nik, a social worker for a county, helps county residents who are struggling with different issues. Nik logs the following hours
    6·1 answer
  • -6 7/8 __ -6.88888...
    9·2 answers
  • A scientist wants to compare the behavior of dolphins in a part of the Gulf of Mexico contaminated by an oil spill to the behavi
    12·1 answer
  • In a certain year, when she was a high school senior, Idonna scored 620 on the mathematics part of the SAT. The distribution of
    10·1 answer
  • Please help!!!!!!!!!!​
    12·1 answer
  • How many of the Abelian Group properties hold for the Rubik's cube?
    6·2 answers
  • 1.5 ( x + 3 ) + 3.8 ( 7 x − 2 ) ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!