It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
It starts down on the left and goes up on the right and intersects the axis at x = -2, 4, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 4, and 3.
3. State which chart and graph type you would use and why. How would this communication tool be better than text?
Answer:
Step-by-step explanation:
A 2 × 2 matrix has 2 rows and 2 columns
Let us assume that matrix A is expressed as
a b
c d
The determinant of matrix A would be
(a × d) - (b × c)
Given that the determinant of matrix A is 3, it means that
ad + bc = 3
If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes
6c 6d
2a 2b
The determinant would be
(6c × 2b) - (2a × 6d)
Determinant = 12bc - 12ad
Assuming those lines are parallel, then this means the alternate interior angles are the same measure
3x-26 = 2x
3x-26+26 = 2x+26 ... adding 26 to both sides
3x = 2x+26
3x-2x = 2x+26-2x ... subtracting 2x from both sides
3x-2x = 26
When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.
Ivan has 25 quarters and 50 nickels.
Let n denote the number of nickels.
and q denote the number of quarters.
1 nickel=0.05 dollar
and 1 quarter=0.25 dollar
Hence, we have:
0.05n+0.25q=8.75
( Since, Ivan has $8.75 in nickels and quarters in his desk drawer )
On multiplying both side of the equation by 100 we have:
5n+25q=875
on dividing both side of the equation by 5 we have:
n+5q=175-----------------(1)
Also, n=2q---------------(2)
( Since, the number of nickels is twice the number of quarters )
Hence, on putting equation (2) in equation (1) we have:
2q+5q=175
i.e.
7q=175
i.e. q=25
and on putting the value of q in equation (2) we have:
n=50