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
lesya [120]
3 years ago
6

I am really confused about this question for math.. any help would be really appreciated:

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

y= (\frac 1 4 )^x

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

y'= -y = - (\frac 1 4)^{x'}

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

So

x'=x''/2, y'=y''/2

y''/2= - (\frac 1 4)^{x''/2}

y'' =  - 2((\frac 1 4)^{1/2})^{x''}

y''= - 2(\frac 1 2)^{x''}

We can rewrite that without the primes and combine the powers of 2.

y =  - 2^{1-x}

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

You might be interested in
Write each of the following expressions as a powers of 2: (4·25)÷(23· 1/16 )
WITCHER [35]
<span>(4 · 2^5) ÷ (2^3 · 1/16 )

</span>= (2^2 · 2^5) ÷ (2^3 · 2^-4 )

= (2^7) ÷ (2^-1)

= 2^8
6 0
3 years ago
2.1(2.3 + 2.1x) = 11.65 + x. Step by step equation please help
DedPeter [7]

Answer:

x=2

Step-by-step explanation:

2.1(2.3 + 2.1x) = 11.65 + x

Distribute

4.83+4.41x=11.65+x

bring 4.83 over (-)

4.41x=6.82+x

bring x over

4.41x-1(x)=6.82

4.41-1=3.41 so

3.41x=6.82

divide 3.41

x=2

3 0
3 years ago
Select the correct answer from each drop-down menu.If /(=) = 0.522 - 2 and g(a) = 853 + 2, find the value of the following funct
Alik [6]

In general,

(f\cdot g)(x)=f(x)\cdot g(x)

Therefore, in our case,

(f\cdot g)(x)=(0.5x{}^2-2)(8x^3+2)=4x^5-16x^3+x^2-4<h2>The answer is 4x^5-16x^3+x^2-4. Select 4, 16, 1, 4 (left to right)</h2>

5 0
1 year ago
Suppose the y-intercept of an exponential function is positive and the common ratio (r) is greater than 1. For this graph, as x
Anna11 [10]

Answer:

Increase (A)

Step-by-step explanation:

If the common ratio is greater than 1, that means the y-value increases as the x-value increases.

If the common ratio is 1, that means the y-value stays the same as the x-value increases.

If the common ratio is between 0 and 1, that means the y-value decreases and approaches 0 ad the x-value increases.

Because the common ratio is greater than 1, the answer is A, increases

4 0
3 years ago
Graph the line that passes through the points (6, 4)and (8, 8) and determine the equation of the line.
Lesechka [4]
Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2

2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b

Therefore, the equation is Y = 2x - 8
6 0
3 years ago
Other questions:
  • Tameka has 4 coins in her purse. The value of coins is 30% of a dollar. Which could represent the coins in Temeka's purse?
    9·1 answer
  • Simplify 3x+5y-x+2y please
    7·2 answers
  • The angular velocity of a fan blade is 4.6 radians per second.
    7·2 answers
  • 5 boys play basketball. 12 boys play soccer. How fewer boys play basketball?
    14·2 answers
  • Jerome solved the equation below by graphing.
    6·2 answers
  • Can u guys PLEASE answer the depreciation question ASAP. THIS IS URGENT!
    11·2 answers
  • When I was 6 my sister was half my age<br><br> Now I'm 70 how old is my sister?
    15·2 answers
  • F(x) = x² + x ² x ² + x + 2
    13·1 answer
  • How do you find LCM? please give a good explanation!
    6·1 answer
  • If you flip a coin 8 times, what is the best prediction possible for the number of times it will land on tails?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!