Answer:
12
Step-by-step explanation:
you first make an equation of 5/6x = 10, then divide 5/6 on both sides to get x = 12
The answer is 35,000
To get this I multiplied 7*5 first (35) then added three zeros because 1000 has three zeros.
Hope this helped :)
The population density of Woodstock is 2114.7 people per square mile
Step-by-step explanation:
Population density is the number of people per square kilometer or per square mile
Given
Number of people = 23896
Area = 11.3 square miles
The population density is given by the formula:
Hence,
The population density of Woodstock is 2114.7 people per square mile
Keywords: Population density, Area
Learn more about population density at:
#LearnwithBrainly
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
Answer:
This would be shifted down 8 and made 3 times less steep.
Step-by-step explanation:
In order to determine these transformations, we first need to compare the constants at the end. This will determine the up or downward shift. Since the f(x) is 5 and the g(x) is -3, we know that it went down 8.
Next we compare the coefficients of x. Since the f(x) is 6 and the g(x) is 2, we know that it is 3 times less steep.
