To estimate you would round the numbers, so it would be 7,000 - 4,000 = 3,000.
Answer:
384
Step-by-step explanation:
24 bouquets * 16 flowers = 384 flowers
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When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Answer:
A) 83 km/ hour
B) 2/7 penalties / game
C) $16 / CD
D) 9 donuts / box
Step-by-step explanation:
A)
For this question they are asking for the distance traveled in 1 hour.
Since 747km was travelled in 9 hours, we divide 747 by 9 to find the distance travelled in 1 hour
747 ÷ 9 = 83
The unit rate is 83 km/ hour
B)
You have to find the number of penalties per game
Like before divide 10 by 35:
10 ÷ 35 = 10/35 = 2/7
2/7 penalties / game
C)
Find the cost of 1 CD :
64 / 4 = 16
$16 / CD
D)
Find the amount of donuts per box:
72/8 = 9
9 donuts per box
-Chetan K
