Number of cards they have 160 in the end.
Step-by-step explanation:
Given,
The ratio of cards David and Sam has = 4:5
Again,
David collected an additional 50% of cards.
Sam doubled his number of cards.
Sam now has 40 more cards than David
To find total number of cards they have.
Let,
David has 4x cards
Sam has 5x cards
Again,
Number of cards David has = 4x ×
= 6x
Number of cards Sam has = 5x×2 = 10x
According to the problem,
10x = 6x+40
or, 10x-6x = 40
or, 4x = 40
or, x = 10
Altogether they have = 6x+10x = 16x
= 16×10 = 160
Hence,
Number of cards they have 160 in the end.
Answer:
<em>D. a vertical transformation of f(x) four units downward</em>
Step-by-step explanation:
f(x) = |x|
In f(x), for every x value you input into x, you get a corresponding y value.
Now look at g(x) = |x| - 4
The part |x| of g(x) gives you the same y-value for each x value as you had in f(x). The part -4, makes each y-value 4 less than it was in f(x). Since every y-value is 4 lower than the corresponding y-value of f(x), the function g(x) is a vertical translation of f(x) four units downward.
49498683837. To work these questions out, use column addition, it is a quick and simple way to add large numbers.
Answer:
x^2 – 4 = 0
Step-by-step explanation:
When x = - 2,
x^2 - 4 = 0
( - 2 )^2 - 4 = 0
4 - 4 = 0
When x = 2,
x^2 - 4 = 0
2^2 - 4 = 0
4 - 4 = 0
Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. ... Negative Exponent Rule: , this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
