54 = 2 × 3 × 3 × 3 ( as a product of its prime factor ).
Answer:
x = - 4 , x = - 3
Step-by-step explanation:
- 7x = x^2 + 12
Take all terms to one side of equation.
x^2 + 7x + 12 = 0
Find which 2 numbers multiply to give 12 and add to give 7.
a × b = 12
a + b = 7
a = 4
b = 3
Split the middle term using these 2 numbers.
x^2 + 4x + 3x + 12 = 0
Factorise each pair of terms separately.
x ( x + 4 ) + 3 ( x + 4 ) = 0
Bring out common factor of ( x + 4 ) and factorise.
( x + 4 ) ( x + 3 ) = 0
Using the Null factor law, make the expressions in each pair of parentheses equal 0.
x + 4 = 0
x = - 4
AND
x + 3 = 0
x = - 3
THEREFORE:
x = - 4 , x = - 3
Answer:
2x+25/12
Step-by-step explanation:
Hope this helps and have a great day!!!!!
Area = length*width
length = Area/width
= (9.312*10^4)/(2.56*10^2) = 3.6375*10^2 . . . cm
Selection A is appropriate.
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You already knew that before you even touched your calculator. 10^4/10^2 = 10^2, so only answers A and C should be considered. 9.3/2.6 < 4.5, so only answer A should be considered.
The beauty of scientific notation for numbers is it helps you estimate the result of multiplication and division easily. For many problems, you don't need the actual answer as much as you need the ballpark in which the answer resides.
Answer:
X = -9
Step-by-step explanation:
y = k X for some fixed number constant k.
-5 = k (15)
k = -5/15 = -1/3
So y = (-1/3)X
When y = 3 ---> 3 = (-1/3)X
X = -9