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3 years ago

What is the range of the exponential function shown below?

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer:

Option B $y> 0$

Step-by-step explanation:

we have

$f(x)=9(2^{x})$

This is a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

r is the rate

b=1+r

In this problem

a=9

b=2

r=2-1=1=100%

The domain for x is the interval ------> (-∞,∞)

All real real numbers

The range is the interval -----> (0,∞)

$y> 0$

All real numbers greater than zero

see the attached figure to better understand the problem

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Tapiwa takes 5% more leaves than adam raked. together they raked 697 liters of leaves

Nina [5.8K]

----------------------------------
Define their percentage:
----------------------------------
Adam = 100%
Tapiwa = 100 + 5 = 105%

----------------------------------
Find their total percentage:
----------------------------------
100 + 105 = 205

----------------------------------
Find 1%
----------------------------------
205% = 697 liters
1% = 3.4 liters

----------------------------------
Find 100% (Adam):
----------------------------------
100% = 3.4 x 100
100% = 340 liters

----------------------------------
Find 105% (Tapiwa):
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105% = 3.4 x 105
105% = 357 liters

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Answer: Tapiwa = 357 liters and Adam = 340 liters.
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8 0

3 years ago

If there are 2 numbers outside the parentheses in the distributive property which one do u distribute

Alex_Xolod [135]

They always say to do the problem in parentheses first

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3 years ago

-4r-8(r-6)=7(5r-1)+8

KATRIN_1 [288]

Answer:

r = 1

Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

a(b+c) = ab + ac

Now, lets solve this:

$-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1$

As we have seen the value of r is "1"

6 0

3 years ago

find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be

EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

<u>First, we will determine the interest earned using the simple interest formula:</u>

I= P*r*t

I= 2,500*0.04*2

I=$200

<u>Now, using the compound interest formula:</u>

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

6 0

2 years ago

In parallelogram DEFG, DH equals X +3, HF equals 3Y, GH equals 2X -5 and HE equals 5Y plus to find the values of X and Y

daser333 [38]

The values of X and Y are 30 and 11 respectively

<h3>How to determine the values of X and Y?</h3>

The figure that represents the complete question is added as an attachment

The given parameters are:

DH = X +3

HF = 3Y

GH = 2X -5

HE = 5Y

From the attached parallelogram, we have:

DH = HF

GH = HE

Substitute the known values in the above equation

X + 3 = 3Y

2X - 5 = 5Y

Make X the subject in X + 3 = 3Y

X = 3Y - 3

Substitute X = 3Y - 3 in 2X - 5 = 5Y

2(3Y - 3) - 5 = 5Y

Expand

6Y - 6 - 5 = 5Y

Evaluate the like terms

Y = 11

Substitute Y = 11 in X = 3Y - 3

X = 3*11 - 3

Evaluate

X = 30

Hence, the values of X and Y are 30 and 11 respectively