The domain of the function is expressed as D = (-∞, ∞)
The domain of a function is the value of the input 'x' for which the given function exists.
Given the function f(x)= 1/2x^2 +11x +15;
- the domain of the function exists on all real numbers.
- That is the function will exist for any given value of x.
Hence the domain of the function is expressed as D = (-∞, ∞)
Learn more here: brainly.com/question/20838649
Answer:
$1,500
Step-by-step explanation:
I did the test and it showed me the answer.
Answer:
Step-by-step explanation:
simple:
2900(1+.13*30)=14210
Compounding
![2900(1+.13)^{30}=113436.1041](https://tex.z-dn.net/?f=2900%281%2B.13%29%5E%7B30%7D%3D113436.1041)
Answer:
you do 18+20+22+24+26+28+30+32+34+36+38+40+42+44+46
Step-by-step explanation:
there are 480 chairs
The value of k must be:
![\boxed{k=\frac{2}{5}}](https://tex.z-dn.net/?f=%5Cboxed%7Bk%3D%5Cfrac%7B2%7D%7B5%7D%7D)
<h2>
Explanation:</h2>
![(2+k)x+(2-k)y=15](https://tex.z-dn.net/?f=%282%2Bk%29x%2B%282-k%29y%3D15)
First of all, you need to know that the Slope-intercept form of the equation of a line is given by:
![y=mx+b \\ \\ m:Slope \\ \\ b:y-intercept](https://tex.z-dn.net/?f=y%3Dmx%2Bb%20%5C%5C%20%5C%5C%20m%3ASlope%20%5C%5C%20%5C%5C%20b%3Ay-intercept)
So, let's arrange our given equation:
![(2+k)x+(2-k)y=15 \\ \\ (2-k)y=-(2+k)x+15 \\ \\ y=\frac{2+k}{2-k}x+\frac{15}{2-k}](https://tex.z-dn.net/?f=%282%2Bk%29x%2B%282-k%29y%3D15%20%5C%5C%20%5C%5C%20%282-k%29y%3D-%282%2Bk%29x%2B15%20%5C%5C%20%5C%5C%20y%3D%5Cfrac%7B2%2Bk%7D%7B2-k%7Dx%2B%5Cfrac%7B15%7D%7B2-k%7D)
As you can see, we can know that:
![m=\frac{2+k}{2-k} \\ \\ b=\frac{15}{2-k}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%2Bk%7D%7B2-k%7D%20%5C%5C%20%5C%5C%20b%3D%5Cfrac%7B15%7D%7B2-k%7D)
But we know that the slope is 3/2:
![\frac{2+k}{2-k} =\frac{3}{2} \\ \\ Solving \ for k: \\ \\ 2(2+k)=3(2-k) \\ \\ 4+2k=6-3k \\ \\ 2k+3k=6-4 \\ \\ 5k=2 \\ \\ k=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2Bk%7D%7B2-k%7D%20%3D%5Cfrac%7B3%7D%7B2%7D%20%5C%5C%20%5C%5C%20Solving%20%5C%20for%20k%3A%20%5C%5C%20%5C%5C%202%282%2Bk%29%3D3%282-k%29%20%5C%5C%20%5C%5C%204%2B2k%3D6-3k%20%5C%5C%20%5C%5C%202k%2B3k%3D6-4%20%5C%5C%20%5C%5C%205k%3D2%20%5C%5C%20%5C%5C%20k%3D%5Cfrac%7B2%7D%7B5%7D)
<h2>Learn more:</h2>
Relationship among proportional relationships lines, rates of change, and slope:
brainly.com/question/674693
#LearnWithBrainly