Answer:
Option c: all real numbers greater than 0
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem we have
a=1/7
b=9
r=b-1 ----> r=9-1=8 -----> r=800%
using a graphing tool
see the attached figure
The domain is the interval ------> (-∞,∞)
The domain is all real numbers
The range is the interval ---------> (0,∞)
The range is all real numbers greater than zero
Answer:
step 2; a negative times a negative = a positive.
Step-by-step explanation:
-4(6-b)=4
<u>-24 </u><u>+</u><u>4b=4</u>
4b=28
b=7
Answer:
Step-by-step explanation:
<h3>The first line</h3>
- Line x - y > 5 ⇒ y < x - 5
<u>This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:</u>
<h3>The second line</h3>
- Line x + 2y < -6 ⇒ 2y < - x - 6 ⇒ y < -1/2x - 3
<u>This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:</u>
<u>Solution of the system is the intersection of the areas:</u>
Answer:
4.25 km (See Below)
Step-by-step explanation:
<em>The question is:</em>
<em>How many kilometers did Nathan walk and jog?</em>
<u>Solution:</u>
He walked 1/4th of 5 kilometer race
He jogged 3/5th of 5 kilometers race
Rest, he ran.
We need total km he ran and jog. That is (1/4) + (3/5)th:

So, we find 17/20th of 5, which is:

So, Nathan walked and jogged 4.25 km of the race.
Alright so lets break this down!
What we are looking at is:
y = 3x - 4
the question is
<em>what is the value of x when y = 5?</em>
This means all we have to do is plug in 5 for y and solve for x
y = 5
x = ?
therefore,
5 = 3x - 4
Now some algebra,
5 + 4 = 3x
9 = 3x
9/3 = x
<em>3 = x</em>
Now our concluding statement:
The value of x is 3 when y is equal to 5
Sometimes all you have to do is turn words into numbers and numbers into words!
Good luck! I hope this was helpful.