Answer:
C. 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1
Step-by-step explanation:
f(x) = 8x^3 + 16x^2 − 15
g(x) = 2x + 1.
f(x) / g(x) = (8x^3 + 16x^2 − 15) / (2x + 1)
Using long division
Given :
An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.
Mrs. Tran spent a total of $93 on bandanas at this store.
To Find :
How many cotton bandanas did Mrs. Tran buy.
Solution :
Let, number of cotton and silk bandanas buys are x and y respectively.
So, 7x + 11y = 93
x = (93 - 11y)/ 7
Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )
Putting y = 4 , x = 7
Therefore, Mrs . Tran will buy 7 cotton bandanas.
Hence, this is the required solution.
The 10^-4 means that the decimal point is 4 places to the left of where it is in 8.25 (if the exponent was positive the decimal point would be to the right). If you move the decimal point 4 places to the left you get an answer of 0.000825 which is 8.25 * 10^-4 in standard form.
Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2
r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
= 22/7
⇒ 22 = 2 x (22/7) x r
⇒ r = 3.5
So the radius of the inner circle is 3.5 ft
<u>Radius of outer circle</u>
If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5
<u>Circumference of outer circle</u>
Therefore, circumference of outer circle:
= 2 x (22/7) x 5.5
= 242/7 ft
<u>Difference between circumferences</u>
Difference = outer circle circumference - inner circle circumference
= 242/7 - 22
= 88/7 ft
= 12.6 ft (nearest tenth)