Answer:
The dimensions ⇒ 3 × 4
Step-by-step explanation:
* Any matrix has two dimensions
- Raw and column
- The dimensions very important in the operations on matrices
- We called the number of raw m and the number of column n
- We must write the number of raw before the number of column
- m × n is the dimensions of the matrix
* Example : If the dimension of a matrix is 2 × 3, that
means the matrix has 2 raw and 3 column
* Now lets look to our problem
∵ It has 3 raw and 4 column
∴ Its dimensions is 3 × 4
Answer:
30.5 hours
Step-by-step explanation:
If he were to average 8 hours PER week for 4 weeks, his total sum would have been:
8 * 4 = 32 hours
But he fell short of it. By how much?
By
hours!
So, he practiced 1 1/2 hours LESS THAN 32 hours, so his practice time is:

So, <u>he practiced 30.5 hours in the 4 weeks</u>
Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.
Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used
A + B = 156
B = 156 - A
A = 156 - B
5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee
There's many more steps you can take to check and etc but am too lazy to put down sorry.