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
arlik [135]
3 years ago
8

1. Is down below and is the first photo.

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

1. a_{n}=\frac{1}{3} a_{n-1} where a_{1} =27

2. 2^{x+1}

3. The domain is {-12,-8,0,1}. The range is {0,12,8}.

Step-by-step explanation:

1. The recursive formula is defined as an implicit way of writing the rule of a function or pattern. It is implicit because it uses previous terms to find the next term in the pattern. We multiply, add, subtract or divide a previous term by a constant value or expression to find the next. In this case, 27 becomes 9 through division by 3 or multiplication by 1/3. The pattern continues 9(1/3)=3 and so forth.

2. The function f(x) is an exponential and has a general form of y=ab^x. We know f(x) is 2^x. The points of g(x) all changed from f(x) by shifting over to the left. This transformation occurred by 2^{x+1}.

3. Domain is defined as the set of all x-values. Range is defined as the set of all y-values. The domain is {-12,-8,0,1}. The range is {0,12,8}.

You might be interested in
Of the total amount of available water on the earth, what percent is usable?
prohojiy [21]
Only 20%of earths water is useable
8 0
3 years ago
How to find the circumference of a circle​
Romashka [77]
  1. C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.
  2. The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle. Again, you can plug π into your calculator to get its numeral value, which is a closer approximation of 3.14.
8 0
3 years ago
Please help me!<br> Find the number x such that f(x) =1
STatiana [176]

Answer:

D

Step-by-step explanation:

We have the piecewise function:

f(x) = \left\{        \begin{array}{ll}            -\frac{1}{2}x-1 & \quad x \leq -2 \\            x & \quad x > -2        \end{array}    \right.

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

1 = \left\{        \begin{array}{ll}            -\frac{1}{2}x-1 & \quad x \leq -2 \\            x & \quad x > -2        \end{array}    \right.

This has two equations. So, we can separate them into two separate cases. Namely:

1=-\frac{1}{2}x-1\text{ or } 1=x

Let's solve for x in each case.

Case I:

We have:

1=-\frac{1}{2}x-1

Add 1 to both sides:

2=-\frac{1}{2}x

Let's cancel out the fraction by multiplying both sides by -2. So:

2(-2)=(-2)\frac{-1}{2}x

The right side cancels:

-4=x\\

Flip:

x=-4

So, x is -4.

Case II:

We have:

1=x

Flip:

x=1

This is the solution for our second case.

So, we have:

x_1=-4\text{ or } x_2=1

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 <em>is </em>less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 <em>is</em> greater than or equal to -2. So, x=1 is <em>also </em>a solution.

Therefore, our two solutions are:

x_1=-4\text{ or } x_2=1

Out of our answer choices, we can pick D.

And we're done!

7 0
3 years ago
The cost of renting a car is 55 a week plus.35 mile traveled during that week an equation to represent the cost would be y=55+0.
uysha [10]

Answer:

65 miles

Step-by-step explanation:

y=55+0.35x

77.75 = 55+0.35x

77.75 - 55 = 0.35x

22.75 = 0.35x

22.75 ÷ 0.35 = 0.35x ÷ 0.35

65 = x

x = 65

7 0
3 years ago
Read 2 more answers
Bobbi skated 3\8 mile in the morning and then skated 1 3\8 miles in the afternoon.
WINSTONCH [101]

it is <u>A</u>, because 1 3/8 + 3/8 is 1 6/8, which reduces to 1 3/4
8 0
3 years ago
Other questions:
  • if a 42.9 ft talk flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?
    6·1 answer
  • The Hendersons have just bought a home that requires some monthly yard maintenance. They are trying to decide if they should hir
    5·2 answers
  • the equation 9.95+.035s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for th
    10·1 answer
  • I have 300 beads.My sister has 60 more beads than I do.How many beads do we have altogether
    15·1 answer
  • Solve for mZTUV.<br> U<br> T<br> 87°<br> 59°<br> V<br> W
    9·1 answer
  • Additive inverse of 400
    13·1 answer
  • How do you find the system of equations for a graph?
    7·2 answers
  • 8. Which expression is equivalent to
    7·1 answer
  • HI I am 10 years old and I need help with my math homework, here's what I need help with:
    9·2 answers
  • Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!