Answer:
x - 1
Step-by-step explanation:
To get one factor of the cubic expression x³+3x²+x-5 according to the remainder theorem we can say that
x³+3x²+x-5 = 0
Then we apply Ruffini's Rule and obtain
x³+3x²+x-5 = (x-1)(x²+4x+5)
where x = 1 is the only real root of the polynomial expression.
Answer:
Then inverse of the given equation is given by ,
(x)= (-x/3 - 6)
Step-by-step explanation:
Given:
Function as g(x)=-3(x+6).
To Find :
The inverse function of the g(x).
Solution:
We know that step involving to convert into inverse function as follows :
Further ,
- Replace g(x) with function as "y",
hence it becomes ,
y=-3(x+6)
2.Then solve for the x value ,
it becomes as ,
=x+6,
-6=x
3. Replace x with y and y with x we get ,
-6=y.
it is written as ,
y=(x)= -x/3-6
Then inverse of the given equation is given by ,(x)= -x/3-6.
Answer:
- same: 30×40 = 1200
- different: 20×50 = 1000
Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
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Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
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For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
<u>Example</u>: neither 2 nor 5 has a factor of 10, but their product does.
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For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
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<em>Additional comment</em>
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
The rate is 0.30 km/min. The rate in linear functions, which must be assumed with only two given points can be traced to calculating the slope (m) of the line or rate.
m= (y2-y1) / (x2-x1)
with our two given points (x,y) we fill out the equation as:
M= (12 - 0) / (40 - 0) or M = 12/40 = 0.3
keeping our units intact 12 km / 40 min so the answer is 0.3 km/min
Answer:
60
Step-by-step explanation:
8640/60 is 144. 144 is a perfect square. 12*12 is 144
