All categories

3 years ago

Consider the function f(x) = 3x and the function g, which is shown below.

Mathematics

1 answer:

VLD [36.1K]3 years ago

7 0

Answer:

B. The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

Graph of Functions

We have two functions:

f(x)=3^x

g(x)=3^x-2

Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points

f(0)=3^0=1

g(0)=3^0-2=-1

f(1)=3^1=3

g(1)=3^1-2=1

f(3)=3^3=27

g(3)=3^3-2=25

We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is

B. The graph of g is the graph of f shifted 2 units down

You might be interested in

Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?

Alenkasestr [34]

Answer:

$1.21 he will recieve

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the

Bogdan [553]

Answer: After working for 33 $\frac{1}{3}$ hours a week

Step-by-step explanation:

Let us write equations to represent these two places. Let x be hours worked and y be money earned.

Tim Hortons:

$200 + $5x = y

McDonalds:

$300 + $2x = y

Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > $\frac{100}{3}$

x > 33.3334

Tim Hortons is the better employer after an employee has worked for 33 $\frac{1}{3}$ hours a week.

Read more about this question here:

brainly.com/question/24206551

8 0

1 year ago

Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change

OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

we know that

$x+y+z=260$ ----> equation A

$0.05x+0.10y+0.25z=29.75$ ----> equation B

$x=2z$ ----> equation C

substitute equation C in equation A and equation B

$2z+y+z=260$

$3z+y=260$ ---> equation A1

$0.05(2z)+0.10y+0.25z=29.75$

$0.35z+0.10y=29.75$ -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

z=75, y=35

Find the value of x

$x=2(75)=150$

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0

3 years ago

What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.

lyudmila [28]

Answer:

The letter "i" is used to signify that a number is an imaginary number.

Step-by-step explanation:

An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:

i = √-1

Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:

√-16 = 4i

~Hope this helps!~

6 0

3 years ago

How does a perpendicular bisector justify sss triangle congruence theorem?

Semmy [17]

Intersects a given segment at a 90 degree angle,and passes through the given segment's midpoint.

4 0

2 years ago