Answer:
18000$
Step-by-step explanation:
Frim the text you have the formula:
V=c-crt
where,
c=30000
r=0.1
t=4
So, new value after 4y:
V=30000-4*0,1*30000=30000-12000=18000
Let x be the number of weeks; therefore, the two linear equations are
Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then
Thus, substitute the value of x=3 into the first equation,
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
NOT MY WORDS TAKEN FROM A SOURCE!
(x^2) <64 => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2 so (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y) You can work backwards and verify this is true. so let's set (x^2) - (8^2) equal to zero to find the roots: (x^2) - (8^2) = 0 => (x-8)*(x+8) = 0 if x-8 = 0 => x=8 and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0 so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.
Hope this helped!
:)
Step-by-step explanation:
f(x) = x^2
g(x)= 1/3 f(x) = 1/3 x^2
First lets make a table for f(x)= x^2
Lets pick some numbers for x and find out y
x y=x^2
-3 (-3)^2 = 9
-1 1
0 0
1 1
3 9
Now we use the same x values and make a table for g(x)
x 
-3 
-1 
0 0
1 
3 
Graph the above table
Answer:
m [slope] = 0
Step-by-step explanation:
When the slope is 0, x cancels out so the y value will remain the same.
There are several methods to finding slope but the easiest way to do this is by dividing the second y value - first y value by the second x value - first x value.
m = ∆y/∆x = y2-y1/x2-x1
You y2 and x2 are interchangable with y and x, because y1, and x1 are part of the starting coordinate,.
The reason you subtract the second
value from the first is because in a directly proportional relationship, y increases as x increases so the next x values will have a greater y value, this is a measure of steepness.
So the slope is:
-1 - -1 / 3 - -2 = -1 + 1 / 3 + 2 = 0 / 5 = 0.
