Answer: you have $31 at the end of the week
Step-by-step explanation:
First, let's put this problem into an algebraic expression. We started off with $42. We then added $25 and took out $36 during the week. The expression for this problem is
42
+
25
−
36
.
Next, add 42 and 25 together to get
67
. We now have
67
−
36
.
Finally, subtract 36 from 67 to get
31
, our answer.
Answer:
m<1 = 87
m<2 = 49
m<3 = 87
m<4 = 68
Step-by-step explanation:
2 and 49 are flipped across the split so they are the same answer. If you do 180 - 93 you'll get 87 for 3. 4 and 68 are paired like 2 and 49 are. and 1 and 3 are the same exact way. If I remember correctly.
Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
Answer:
15.500000
Step-by-step explanation:
Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
46.5 ÷ 3 = 15.500000
and therefore:
4.65 ÷ 0.3 = 15.500000
Both calculated to 6 decimal places. There, I Solved It For You! :)
Answer:
5
Step-by-step explanation:
Whenever you multiply square roots that have the same number inside the radicand, you get the number under the radicand. For example, the square root of 4 squared will equal four. Similarly, you are simply squaring the square root of 5, so you should get 5 as your answer.
