9514 1404 393
Answer:
C. 4 +√(x+5)
Step-by-step explanation:
The sign between the terms changes to form the conjugate. The radical contents are unchanged.
The conjugate of 4 -√(x+5) is 4 +√(x+5).
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<em>Additional comment</em>
The utility of a conjugate is that the product of a number and its conjugate is the difference of two squares. The squares are intended to remove an undesirable feature of the number, its imaginary part or its irrational part, for example. Here, the product of the number and its conjugate would be ...
(a -b)(a +b) = a² -b²
4² -(√(x+5))² = 16 -(x +5) = 11 -x . . . . no longer contains a root
Answer:
0
Step-by-step explanation:
Hi there!
First, find g(4). Notice how on the first given table, when x=4, g(x)=9. Therefore, g(4)=9.
Then, find f(9). Notice how on the second given table, when x=9, f(x)=0.
Therefore, f(g(4)) is equal to 0.
I hope this helps!
Multiply the 2 by 3 to get 6 square yards
Then multiply that by three to get 18 square feet
Finally times 18 by 1.5 to get 12 tiles
Therefore 12 tiles are needed to cover the floor.
Answer:
1/4
Step-by-step explanation:
y = 1/4x -4
This equation is in the form
y= mx+b where m is the slope and b is the y intercept
The slope is 1/4
Answer:
a) $26.4
b) $324
Step-by-step explanation:
Hire purchase is the purchase of an item which can be paid instalmentally.
The bicycle costs $300 for an instant purchase.
For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance
The outstanding balance after paying deposit= $300 - $60 = $240
Hence, 10% of 240 = 10/100 × 240 = 24
An interest of $24 is added.
Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.
a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4
b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price
= $60 + $264
= $324
Hence, a total of $324 will be paid for the bicycle by hire purchase.
N.B: $300 is the sale price + $24 interest
