Answer:
x = -44/13
y = -65/13
Step-by-step explanation:
Using matrix form means using the crammers rule
The matrix form of the expression is written as;
![\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%265%5C%5C-1%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%5C%5C7%5C%5C%5Cend%7Barray%7D%5Cright%5D)
AX = B
taking the determinant of A;
|A| = 8(1) - 5(-1)
|A| = 8 + 5
|A| = 13
After replacing the first row with the column matrix;
![A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]](https://tex.z-dn.net/?f=A_x%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%265%5C%5C7%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
|Ax| = 9(-1)-5(7)
||Ax| = -9 - 35
|Ax| = -44
x = |Ax|/|A|
x = -44/13
similarly for y
![A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]](https://tex.z-dn.net/?f=A_x%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%269%5C%5C-1%267%5C%5C%5Cend%7Barray%7D%5Cright%5D)
|Ay| = 8(7)+9
|Ay| = 56+9
|Ay| = 65
y = |Ay|/|A|
y = -65/13
Answer:
60% i got it
Step-by-step explanation:
6000/500= 12
12/20*100= 60%
Answer:
b. Pearson's correlation can be used in the same way as it is for linear relationships
Explanation:
Pearson's correlation can also be termed "simple linear regression analysis" is a statistical measure used to determine if two numeric variables are significantly linearly related. Pearson's correlation coefficient is used to measures the statistical relationship or association between two continuous variables.
9514 1404 393
Answer:
Ben's
Step-by-step explanation:
If E is the amount of energy that each full set of panels produces, then ...
3 of Ismael's 5 panels produce 3/5E
4 of Ben's 6 panels produce 4/6E
We can compare these fractions when they have a common denominator.
3/5E = 18/30E . . . . energy from Ismael's panels
4/6E = 20/30E . . . energy from Ben's panels
18/30 < 20/30 . . . . so Ben's panels are producing more energy
Answer:
x>14
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4>−2x+24
Step 2: Flip the equation.
−2x+24<−4
Step 3: Subtract 24 from both sides.
−2x+24−24<−4−24
−2x<−28
Step 4: Divide both sides by -2.
−2x−2<−28−2
x>14
