Solution:
y = 2x^2 - 3 ---- equation 1
y = 3x - 1 ------equation 2
Then we get,
2x^2 - 3 = 3x - 1
Now, simplifying the equation, we get
2x^2 - 3x - 3 + 1 = 0
2x^2 - 3x - 2 = 0
After factoring the equation, we get
(2x+1)(x-2) = 0
So, this means
(2x+1) = 0 and (x-2) = 0
From this, we get
x = -1/2 and x = 2
Putting values of x = -1/2 in equation 2
y = 3(-1/2) - 1
y = -2.5
Now, putting value of x = 2 in equation 2
y = 3(2) -1
y = 5
Answer:
0.9769
Step-by-step explanation:
Given the data :
X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1
Y : 35, 6, 45, 18, 20, 89, 84
The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.
The answer would be b.) 12 weeks hope this helps! :))
Answer:
9:16
Step-by-step explanation:
The ratio of sides of the lengths of rectangles is 3:4.
- Now since the scale is constant. So the scale ratio of area will be square of the side ratio .
<u>T</u><u>hat </u><u>is </u><u>:</u><u>-</u><u> </u>
→ Ratio of Area = ( 3 : 4)²
→ Ratio of Area = (3/4)²
→ Ratio of Area = 9/16
→ Ratio of Area = 9:16
<h3>
Hence the ratio of areas is 9:16 .</h3>
The mode is the most frequent number which is 205 and the mean is all the numbers divided by the amount of number which is 123.
