Answer:
Step-by-step explanation:
Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:
3x² + 7x - 20
The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If
x = -4 is a solution, then the factor is (x + 4) = 0.
The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.
So putting that all together gives us the answers as A, C, and E are our choices.
Using order of operations you would multiply first giving you 15. So 47-15=32.
Answer:
2√11
Step-by-step explanation:
The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:
h² = 6² +8² = 100
The length of x is given by that same theorem:
h² +x² = 12²
x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value
x = √44 . . . . . . . . take the square root
x = 2√11 . . . . . . . simplify the root
Answer: Read below!!! (>XD)
Step-by-step explanation:
168 x 0.18 = tip amount given = $30.24
168 x 0.06= tax
Even more simple method
168 x 1.06 = total including tax = 178.08
30.24+178.08=total paid for dinner including tax and tips
= 208.32
