an exponential function is expressed in the form y=a*b/\x. the relation represents a growth when ________ and a decay when ________.

Answers

Answer 1
Answer: That function grows when 'b' is more than 1 and 'x' is positive, or when b <1 and x<0. It decays when b> 1 and x <0, or when b<1 and x> 0.
Answer 2
Answer:

Answer 1: b>1

Answer 2: 0b<b<1

An exponential function is expressed in the form y=axb^x. The relation represents a growth when "b>1" and a decay when "0<b<1".


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Simplify sin(3x+13)=cos(4x)
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it is 10 3\5 miles from Alston to Barton and 12 1/2 from Barton to Chester.the distance from Alston to Durban,via BARTON and Chester,is 35 miles.how far is it from Chester to Durban.

What is the equation of the given line in standard form? Use integer coefficients y = 5/7x - 12 A. -5x + 7y = -12 B. -5x - 7y = -84 C. -5x + 7y = -84 D. 5x + 7y = -84

Answers

y = 5/7 x - 12  / * 7 ( we will multiply both sides of the equation by 7 )
7 y = 5 x - 84
7 y - 5 x = 5 x - 5 x - 84
7 y - 5 x = - 84
- 5 x + 7 y = - 84
Answer:  The equation in standard form is C ) - 5 x + 7 y = - 84 

If Gary took part in a quiz show and won a million pounds.Then he spent half of the money left on a house.

How much did Gary's house cost??

Answers

Well one half of a million is 0.5 million, or 500,000. So Gary's house cost 500,000 pounds. Hope this helps!!

A cone has a diameter of 6 centimeters and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?one over three(3.14)(3cm)2(18cm)
one over three(3.14)(6cm)2(18cm)
one over three(3.14)(18cm)2(3cm)
one over three(3.14)(18cm)2(6cm)

Answers

The volume of the cone is calculated by the formula:

V = B*H/3
r=D/2 = 6/3 = 2
where B is surface area of basis and H is height.

B is circle which fomula for surface is:
B = r^2 * pi = 3^2*3,14 = 9*3,14 = 28.26

from condition of height we write:
H = 3*D = 3*6 = 18

now volume is:

If we express all of that in equation of volume we get:

V = 1/3* 3^2*3,14*18

Answer is first option.

Answer:

Answer is first option.

Step-by-step explanation:

V = 1/3* 3^2*3,14*18

Slope and y intercept

Answers

The equation of a line is given by y = mx + c; where m is the slope and c is the y intercept.
The given equation is 13x - 11y = -12
11y = 13x + 12
y = 13/11 x + 12/11.
Therefore, the slope is 13/11 and the y-intercept is (0, 12/11).

Pranav made a nut mixture that contains 82% peanuts by mixing 6kg of mixed nuts with 9kg of peanuts. The mixed nuts contained what percent peanuts?

Answers

ok so
82%=82/100=0.82

82% of all =peanuts


total=6+9=15kg

all=15
0.82 times 15=peanuts
12.3=peanuts

12.3kg of peanuts total
9kgpeanuts+xkgpeanuts(inmixednuts)=12.3
subtract 9 from both sides
xkgpeanuts=3.3kg

3.3/9=x%
x%=x/100
3.3/9=x/100
1.1/3=x/100
multiply both sides by 300
110=3x
divide both sides by 3
36.6666=x
36.6666% is answer
aprox 37%





How to find the inverse of the function f(x)=2x-3 ? Please

Answers

f(x)=2x-3\n\ny=2x-3\n\n-2x=-y-3\ \ \ \ /:(-2)\n\nx=(1)/(2)y+(3)/(2)\n\nf^(-1)(x)=(1)/(2)x+(3)/(2)
f(x)=2x-3
y=2x-3
x=(y+3)/2

f⁻¹(x) = (x+3) / 2