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
aliina [53]
2 years ago
12

The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o

f b?
Mathematics
1 answer:
Yuki888 [10]2 years ago
6 0

If the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

y=ab^x

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function y=ab^x

25=ab^3............................(1)

Substitute x = 8 and y = 10 into the function y=ab^x

10=ab^8.............................(2)

Divide equation (2) by equation (1)

\frac{10}{25}=\frac{ab^8}{ab^3}  \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833

Therefore, if the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

You might be interested in
Can someone help me plzz !
BlackZzzverrR [31]
The answer is A. A(8)=25,000•(1+0.095)8
5 0
3 years ago
Can someone help me to solve these questions as step by step. I really need help because I really don’t understand why I’m getti
frutty [35]
<h3>Answer:</h3>

48 - Left

  • a. domain: all real numbers; range: all numbers greater than or equal to zero
  • b. x-intercept: x=0; y-intercept: y=0
  • c. decreasing for x < 0; increasing for x > 0; constant for x=0
  • d. even; the axis of symmetry is x=0

48 - Right

  • a. both the domain and range are all real numbers
  • b. x-intercept: x=0; y-intercept: y=0
  • c. increasing everywhere except x=0; constant for x=0
  • d. odd; symmetrical about the origin
<h3>Step-by-step explanation:</h3>

48 - Left

a. The function is defined for all values of x, so its domain is all real numbers. (The <em>domain</em> is the set of numbers for which the function is defined.) For any x (positive or negative), both the graph and the function f(x)=x² tell you that the value of f(x) cannot be less than zero. Hence the range is all numbers greater than or equal to zero (all non-negative numbers). (The <em>range</em> is the set of values the function can produce.)

b. The only point where the function crosses either axis is the point (0, 0). This is both the x- and y-intercept.

c. The function goes "downhill" left of x=0, so is decreasing there. The function goes "uphill" right of x=0, so is increasing there. At x=0, the function is horizontal, so is constant there.

d. The left branch is a mirror image of the right branch, reflected across the vertical line x=0. That line is the axis of symmetry. Every point on the left branch is as far to the left of that line as the corresponding point on the right branch is to the right of it. When x=0 is the line of symmetry, the function is an even function.

___

48 - Right

a. As with f(x) = x², the function f(x) = x³ is defined for all values of x. (This is true for <em>any polynomial function</em>.) Hence the domain is all real numbers.

Unlike f(x) = x², the function f(x) = x³ can produce any value of f(x), so the range is all real numbers.

b. As with f(x) = x², the only place where the graph crosses either axis is the point (0, 0). So, both the x- and y-intercept are 0.

c. The function goes "uphill" everywhere except at x=0, so is increasing for all x except x=0, where it is constant.

d. A polynomial of odd degree is an odd function, symmetrical about the origin. Every point above or to the right of the origin has a matching point below or to the left of the origin by the same distance.

7 0
3 years ago
What would seven less than the quotient of x and 9 in a an expression?
g100num [7]
Required expression is x/9 - 7
3 0
3 years ago
What is the ratio of the number of sides of a quadrilateral to the number of sides of a pentagon?
IgorC [24]
4:5 because a quadrilateral has 4 sides and a pentagon has 5 sides
3 0
3 years ago
Help Now
dolphi86 [110]

3 class mat per group


3 0
3 years ago
Read 2 more answers
Other questions:
  • Which one do i choose help melee ill award 30 point plssss
    11·2 answers
  • How many 1s are in 72s family
    11·1 answer
  • Firewood is stacked in a pile. The bottom row has 20 logs and the top row has 14 logs. Each row has one more log than the row ab
    11·1 answer
  • Simplify: 5x - 6y + 4x<br><br> x - 6y<br> 3xy<br> 9x - 6y
    12·2 answers
  • Need help fast .............................. Need help fast .............................. Need help fast .....................
    13·2 answers
  • Solve the system of equations. y = x ^ 2 - 3x + 6 y = 2x + 6
    12·1 answer
  • Hello please help i’ll give brainliest
    8·1 answer
  • Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?
    12·1 answer
  • pls help me i need your help thank you soo much pls don't waste someone's change of answer I need this to pass this class
    7·1 answer
  • Can someone help me?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!