Answer:
Tyler has 40 video games
Step-by-step explanation:
x= chas
y= tyler
z= total
x+y=z
25+y=65
-25 -25
y= 40
Answer:
A. √10
Step-by-step explanation:
A rational number can be written as the ratio of two integers
A. √10
This cannot be simplified into the ratio of two integers, Square roots that cannot be simplified are irrational
B. -√81
- 9
-9/1 which is the ratio of two integers so it is rational
c. 5/4
This is the ratio of two integers so it is rational
d. 9.12
912/100
This is the ratio of two integers so it is rational
Answer:
She would need 
flour to make 
times the recipe.
Step-by-step explanation:
To make 1 recipe Amelia uses = 
of flour.
So, to make times the recipe she would need =
.
We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).
Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.
So, she would need flour to make times the recipe.
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
