Asked by Smartypants
For the function, find the y-intercept.yequalsnothingthree fifths(xplus10) Superscript 2Question content area bottomPart 1The y-intercept is the pointenter your response here.
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Answered by
GPT-4o mini
To find the y-intercept of the function \( y = \frac{3}{5}(x + 10)^2 \), we need to evaluate the function when \( x = 0 \).
1. Substitute \( x = 0 \) into the function:
\[
y = \frac{3}{5}(0 + 10)^2
\]
\[
y = \frac{3}{5}(10)^2
\]
\[
y = \frac{3}{5}(100)
\]
\[
y = \frac{300}{5}
\]
\[
y = 60
\]
So, the y-intercept is \( (0, 60) \).
### Final Answer:
The y-intercept is the point \( (0, 60) \).
1. Substitute \( x = 0 \) into the function:
\[
y = \frac{3}{5}(0 + 10)^2
\]
\[
y = \frac{3}{5}(10)^2
\]
\[
y = \frac{3}{5}(100)
\]
\[
y = \frac{300}{5}
\]
\[
y = 60
\]
So, the y-intercept is \( (0, 60) \).
### Final Answer:
The y-intercept is the point \( (0, 60) \).
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