Based on our examination of the y-intercepts, we can deduce that the y-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
<h3>What is the examination of the
y-intercept?</h3>
The value of the function at the point where the value of x is equal to zero is known as the y-intercept.
f(x)=-6(1.05)^x
Considering x
x=0
f(0)=-6(1.05)^0
f(0)=-6(1)
f(0)=-6
Therefore, the y-intercept is point (0,-6)
Generally, the equation for the function of the y-intercept of g(x) is mathematically given as
From table
at x=0
The y-intercept is the point (0,-3)
Based on our examination of the y-intercepts, we can deduce that the ty-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
Read more about intercepts
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The perimeter of a rectangle is 40m and one side of it is 5m. What is the length of the other side using an equation?
Perimeter of the rectangle =2(l+ b)=40m
If one of its side b=5, then l = (40/2)-5
= 20–5
= 15 m Therefore
Length= 15 cm
Breadth =5 cm
Answer:
![\dfrac{9}{13}-\dfrac{19}{13}i](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B13%7D-%5Cdfrac%7B19%7D%7B13%7Di)
Step-by-step explanation:
Remember ![i^2=-1](https://tex.z-dn.net/?f=i%5E2%3D-1)
You are given the fraction ![\dfrac{3+5i}{-2+3i}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%2B5i%7D%7B-2%2B3i%7D)
First, multiply the numerator and the denominator by -2-3i:
![\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%2B5i%7D%7B-2%2B3i%7D%3D%5Cdfrac%7B%283%2B5i%29%28-2-3i%29%7D%7B%28-2%2B3i%29%28-2-3i%29%7D%3D%5Cdfrac%7B%283%2B5i%29%28-2-3i%29%7D%7B%28-2%29%5E2-%283i%29%5E2%7D%3D%5Cdfrac%7B%283%2B5i%29%28-2-3i%29%7D%7B4-9i%5E2%7D%3D%5Cdfrac%7B%283%2B5i%29%28-2-3i%29%7D%7B4%2B9%7D)
This gives you 13 in denominator, now multiply two complex numbers in numerator:
![(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i](https://tex.z-dn.net/?f=%283%2B5i%29%28-2-3i%29%3D-6-9i-10i-15i%5E2%3D-6-19i%2B15%3D9-19i)
Thus, the initial fraction is
![\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i](https://tex.z-dn.net/?f=%5Cdfrac%7B9-19i%7D%7B13%7D%3D%5Cdfrac%7B9%7D%7B13%7D-%5Cdfrac%7B19%7D%7B13%7Di)
Answer:
4 weekdays and 2 weekends.
Step-by-step explanation:
The two days he parked on a weekends, he payed 24 dollars. The 4 days he parked n weekdays was 28 dollars. Add 24 and 28 and you get 52.