Barry's house has 4 windows that he is planning to replace to improve energy efficiency. The width of each window is between 3.3
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<span>The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.
Given the functions
A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.
B.
x g(x)
0 6
1 2
2 10
The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.
C. The function h of x equals 4 to the x power, plus 3
When x = 0,
Thus the y-intecept is 4.
D. j(x) = 10(2)^x
when x = 0,
Thus, the y-intercept is 10.
Thereforen the function with the highest y-intercept is
which has a y-intercept of 10.
</span>
Given the functions
A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.
B.
x g(x)
0 6
1 2
2 10
The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.
C. The function h of x equals 4 to the x power, plus 3
When x = 0,
Thus the y-intecept is 4.
D. j(x) = 10(2)^x
when x = 0,
Thus, the y-intercept is 10.
Thereforen the function with the highest y-intercept is
</span>
Answer:
Decimal 0.333 to a fraction in simplest form is:
Step-by-step explanation:
Given the decimal
Multiply and divide by 10 for every number after the decimal point.
There are three digits to the right of the decimal point, therefore multiply and divide by 1000.
Thus,
∵ 0.333×1000 = 333
Let us check if we can reduce the fraction
For this, we need to find a common factor of 333 and 1000 in order to cancel it out.
But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000
<u>Greatest Common Divisor (GCD) : </u>
The GCD of a, b is the largest positive number that divides both a and b without a remainder.
Prime Factorization of 333: 3 · 3 · 37
Prime Factorization of 1000: 2 · 2 · 2 · 5 · 5 · 5
As there is no common factor for 333 and 1000, therefore, the GCD is 1.
Important Tip:
- As GCD is 1, therefore the fraction can not be simplified.
Therefore, decimal 0.333 to a fraction in simplest form is: