X= -5
y= -2
I didn't double check the answers by inputting them back into the equations, but if you want to then you can. Yet I am 99% positive my answer is correct.
Answer:
f(-12) = 74
Step-by-step explanation:
You first plug in the number into all of the x's. In this case, we get f(-12)=-8(-12)-22.
The simplify.
f(-12)= 96-22
f(-12)= 74
Answer: $2500
Step-by-step explanation:
4% of what number = 100
0.04 x ? = 100
divide both sides by 0.04
? = 100/ 0.04
= $2500
Answer:
y = x³ + 10.5x² + 31x + 13
Step-by-step explanation:
Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.
So the polynomial is:
y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))
Distributing:
y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)
y = (x + 1/2) (x² + 10x + 25 + 1)
y = (x + 1/2) (x² + 10x + 26)
y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)
y = x³ + 10x² + 26x + 1/2x² + 5x + 13
y = x³ + 10.5x² + 31x + 13
Answer:
Step-by-step explanation:
It would be helpful to know the numbers of rows and columns, so we don't have to guess.
Any number of on-line calculators and/or graphing calculators can multiply these matrices for you. Excel and other spreadsheets can do this, too. Forming the 6 sums of 2 products is tedious to do by hand.
For example, the term in the product matrix at row 1 column 2 is the sum of products of the numbers in row 1 of the first matrix and column 2 of the second matrix:
4·1 + 0·1 = 4
_____
The attachment shows the matrix multiplication on a TI-84 calculator.