Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
1. To solve this problem, you need to remember that an exponential function has the following form:
f(x)=a^x
"a" is the base and "x" is the exponent.
2. It is important to know that the logarithmic functions and the exponential functionsare inverse. Then, you have:
<span>y=ln x
</span> e^y=e^(lnx)
<span> e^y=x
3. Therefore, the answer is:
</span>
x=<span>e^y</span>
Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .
<h3>What year will 67% of babies be born to unmarried parents?</h3><h3 />
In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.
If the trend continues, the number of years till 67% of children born out of wedlock will be:
= (67% - 28%) / 0.6%
= 65 years
The year will be:
= 1990 + 65
= 2055
The first part of the question is:
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.
Find out more on benefits of marriage at brainly.com/question/12132551.
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Answer:
60%
Step-by-step explanation:
$600 as a percentage of $1000
= (600/1000) x 100%
= 60%
Hope this helps!
Answer:
x = 5/8
Step-by-step explanation:
24a = 15
Divide both sides by 24:
24a ÷ 24 = 15 ÷ 24
x = 5/8
