Answer:
( 8 , - 8) => x² - 55 = 9
( 4 , - 4) => 2x² - 32 = 0
(5 , - 5) => 4x² - 100 = 0
(11 , - 11) => x² - 140 = -19
( 3, - 3) => 2x² - 18 = 0
Step-by-step explanation:
1)
x = ( 4 , - 4)
2)
x = ( 5 , - 5 )
3)
x= ( 8 , - 8)
4)
x = ( 11 , -11)
5)
x = ( 3 , - 3)
The table of values of the function y = ∛x is
x y
-8 -2
-1 -1
0 0
1 1
8 2
<h3>How to fill in the y values?</h3>
The function is given as:
y = ∛x
When x = -8, we have:
y = ∛-8 = -2
When x = -1, we have:
y = ∛-1 = -1
When x = 0, we have:
y = ∛0 = 0
When x = 1, we have:
y = ∛1 = 1
When x = 8, we have:
y = ∛8 = 8
So, the table of values is
x y
-8 -2
-1 -1
0 0
1 1
8 2
Read more about cubic functions at:
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Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
Answer:
D.) 10 2/3 square feet
Step-by-step explanation:
The area will change by
multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)
Answer:
$1000 ; 500 ; 1000 ; y = 500x + 1000
Step-by-step explanation:
From the graph, the initial deposit which started the savings account is $1000 ; this is the value on the y - intercept, the value in the account at time or period = 0.
The slope :
x1 = 0 ; y1 = 1000
x2 = 6 ; y2 = 4000
Slope = Rise / Run
Rise = y2 - y1 = 4000 - 1000 = 3000
Run = x2 - x1 = 6 - 0 = 6
Hence,
Slope = 3000 / 6
Slope = 500
y - intercept = 1000 (from. Graph)
Equation in slope intercept form:
General form : y = mx + c
m = slope ; c = intercept
Equation is written as ;
y = 500x + 1000
