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
gogolik [260]
2 years ago
13

A1, a1r 1, a1r 2, a1r 3, a1r 4, .... a1r n-1 is the general formula for the Sum of a what?

Mathematics
1 answer:
NeTakaya2 years ago
8 0
Of a geometric sequence.
You might be interested in
Solve for x 3x + 10 - 4 = 21​
Ivan

Answer:

X = 5

Step-by-step explanation:

6 0
3 years ago
Convert 25 1/3% to decimal. Round to the nearest thousandth if necessary.
Anni [7]
Decimal: 25.3333, but converted properly it is
.253333....(repeating) so to the nearest thousands it would be .253
6 0
3 years ago
Last basketball season John made 62% of the free throws he attempted. In the first game this season, John went to the free-throw
Step2247 [10]

Answer:

62 x 10 =620

Step-by-step explanation:

multiply

5 0
2 years ago
Triangle ABC is transformed to create triangle MNO and triangle PQR as described below
goldenfox [79]

Answer:

The correct answer is the second option

5 0
3 years ago
I dont understand how to do this precalc question
Alexeev081 [22]

Answer:

  • x-intercept:  (-0.1, 0)
  • Horizontal Asymptote: y = -3
  • Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

y=ab^x+c

where:

  • a is the initial value (y-intercept).
  • b is the base (growth/decay factor) in decimal form:
    If b > 1 then it is an increasing function.
    If 0 < b < 1 then it is a decreasing function.
  • y=c is the horizontal asymptote.
  • x is the independent variable.
  • y is the dependent variable.

Given <u>exponential function</u>:

y=4(10)^x-3

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

f(x)=b^x

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  f(x) = ab^x+c always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

  • If b > 1 then it is an increasing function.
  • If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0
2 years ago
Other questions:
  • Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cylinder is 54
    9·1 answer
  • 3x-4=17<br><br> whats he answer x
    15·2 answers
  • For the displayed triangle, provide the following value B=
    10·1 answer
  • Solve for B. <br><br> A = 3(B + C)
    6·2 answers
  • each student in the seventh grade will be required to write three papers that are a total of 13 pages long and there are 47 stud
    13·1 answer
  • Given the pre-image point A (4,-9) and it's image point A' (12, -27), determine the scale factor
    6·1 answer
  • Write a number that has four digits with the same number in all places, such as 4,444
    13·1 answer
  • The city is issuing bonds to raise money for a building project. You obtain a $1000 bond that pays 9% interest annually that mat
    7·1 answer
  • Negative fractions on the number line
    7·2 answers
  • Simplify this expression.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!