Your answer for this question would be y=-3x
all u need to do is substitute the x with the numbers given in the x values
Answer:
<u>f(x) = x² - 4x + 2 or f(x) = (x - 2)²</u>
Step-b<u>y</u>-step explanation:
- The parabola touches the x-axis at only one point
- If we use y = a(x − h)² + k, we can see from the graph that h = 2 and k = 0
- This gives us y = a(x − 2)²
What is the value of "a"?
- We also see that the y-intercept is (0, 4)
- We can plug it into the equation
- 4 = a(0 - 2)²
- 4a = 4
- a = 1
<u>So, our quadratic equation will be</u> :
- y = 1(x - 2)²
- <u>y = x² - 4x + 2 or y = (x - 2)²</u>
We have an arithmetic progression:
an=number of item at row n
an=a₁+(n-1)d
d=common difference=an-a(n-1)=a₂-a₁=2-1=1
n=number of row
In this case:
an=1+(n-1)*1=n
The sum of an arithmetic serie is:
Sn=(a₁+an)n / 2
In this case:
a₁=1 (number of itms in the first row)
an=n (we have to calculate this before)
Sn=(1+n)n /2=(n+n²)/2
Therefore:
f(n)=Sn=number of items when we have n number of rows
f(n)=(n+n²)/2
Answer: f(n)=(n+n²)/2
To chek:
f(1)=(1+1²)/2=1
f(2)=(2+2²)/2=6/2=3
f(3)=(3+3²)/2=(3+9)/2=12/2=6
....
I hope this helps you
sec Q=1/cos Q
2=1/cos Q
cos Q= 1/2
Q=30+2.pi.n
Q=330+2.pi.n
n€Z
Answer:
point slope form: y + 4 = 3/8 (x + 5) slope intercept: y = 3/8x - 17/8
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-4) / 3 - (-5)
slope = 3/8
y + 4 = 3/8 (x + 5)
y = 3/8x + b
-1 = 3/8(3) + b
-1 = 9/8 + b
-17/8
y = 3/8x - 17/8