<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>
Answer:</h3>
![y = [ -2 ] x + [ 1 ]\\](https://tex.z-dn.net/?f=y%20%3D%20%5B%20-2%20%5D%20x%20%2B%20%5B%201%20%5D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>
We must first find the slope.
<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>
We can see the marked points,
and
, are on the line.
Solving for the slope:
![m = \frac{y_2 -y_1}{x_2 -x_1} \\ m = \frac{-7 -1}{4 -0} \\ m = \frac{-8}{4} \\ m = -2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D%20%5C%5C%20m%20%3D%20%5Cfrac%7B-7%20-1%7D%7B4%20-0%7D%20%5C%5C%20m%20%3D%20%5Cfrac%7B-8%7D%7B4%7D%20%5C%5C%20m%20%3D%20-2)
Now we can now solve for the
-intercept.
<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>
We can see that the line intersected the
-axis at
so
.
Answer:
yes that is the correct answer. 41/100 are filled, so it is 41%.
Step-by-step explanation:
Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
32*900 = 28800
108*x = 108x
108x = 28800
x =
or ![\frac{800}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B800%7D%7B3%7D)
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
Answer: The value of polynomial function at -1 is 0 and the option d is correct.
Explanation:
The given function is,
![f(x)=9x^4-10x^2+1](https://tex.z-dn.net/?f=f%28x%29%3D9x%5E4-10x%5E2%2B1)
We have to value of polynomial function at -1. It means we have to find f(-1).
Put x=-1 in the given function.
![f(-1)=9(-1)^4-10(-1)^2+1](https://tex.z-dn.net/?f=f%28-1%29%3D9%28-1%29%5E4-10%28-1%29%5E2%2B1)
![f(-1)=9(1)-10(1)+1](https://tex.z-dn.net/?f=f%28-1%29%3D9%281%29-10%281%29%2B1)
![f(-1)=9-10+1](https://tex.z-dn.net/?f=f%28-1%29%3D9-10%2B1)
![f(-1)=0](https://tex.z-dn.net/?f=f%28-1%29%3D0)
Therefore option d is correct and the value of polynomial function at -1 is 0.
The answer would be sin theta 30