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
Misha Larkins [42]
3 years ago
15

PLEASE HELP SOS

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

Part a) Is a growth function

Part b) The function's percent rate of change is 160%

Step-by-step explanation:

we have

f(x)=0.3(2.6^x)

This is a exponential function of the form

f(x)=a(b^x)

where

a is the initial value or y-intercept

b is the base of the exponential function

If b> 1---> we have a growth function

if b< 1---> is a decay function

r is the percent rate of change

b=(1+r)

In this problem we have

a=0.3

b=2.6

The value of b >1

so

Is a growth function

Find the value of r

r=b-1=2.6-1=1.6

convert to percentage

r=1.6*100=160\%

You might be interested in
Find the slope-intercept form of the equation that passes through the points (3, -4) and (1, 2)
quester [9]

Answer:

y = -3x + 5

Step-by-step explanation:

(y2-y1)/(x2-x1)

Plug coordinates into that

Then plug one of the coordinates into y = -3x+b to get b

3 0
2 years ago
A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
Lee wants to cut this piece of canvas into two rectangles that are 3x2 and 3x5. He wants the sum of the two small rectangles to
lord [1]
Yes because 3×2= 6 , 3×5= 15, 15 + 6 = 21
8 0
3 years ago
Austen has 6 sets of 10 baseball cards Tim has three sets of 10 baseball cards how many baseball cards do they have anal
EastWind [94]
90. To get to this answer, you would multiply 6 X 10 and 3 X 10. You would then add the products: 60 + 30 = 90.
5 0
3 years ago
Simplify (2x + 3)(x – 4) = ?
Lina20 [59]
Use the FOIL method (first, outside, inside, last) to multiply:

2x^2-8x+3x-12

This can be simplified even more into:

2x^2-5x-12.

Hope this helped!
5 0
3 years ago
Other questions:
  • 900 is ___ the value of 9
    5·1 answer
  • Plzzzzzzzzzzzzzzz help what is 6+x÷3=13
    9·2 answers
  • Find the probability of the compound event.
    8·2 answers
  • George borrowed $25,000 for a new car. If George pays simple interest at a rate of
    13·2 answers
  • What is the slope of y=1x-3
    11·2 answers
  • PLS HELP ILL GIVE YOU FREE PIONTS AND BRAINLEST PLSSS
    11·2 answers
  • Is (-5,6) a solution for 4x + 3y = 9
    10·2 answers
  • 100x56 Show work for brsinly
    9·1 answer
  • I need help really quick
    5·1 answer
  • A carpenter cuts the corners of a rectangle to make the trapezoid shown.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!