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Veronika [31]
3 years ago
13

How to solve log base 5 of x + log base 5 of (4x-1)

Mathematics
1 answer:
pochemuha3 years ago
7 0
Log5(x)+log5(4x-1)
As the bases are the same the number doesn't matter
Log (a) + log(b) =log (ab)

Log(4x^2-x)

(x )(4x-1)

x=0.25 or x=0

Log(4×0.25^2-0.25) = log(0) = Infinity
Same with 0. So no answer
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What is the equation of the following line? Be sure to scroll down first to see
Marianna [84]
Y=2/7x is the correct answer
6 0
3 years ago
Write the decimal for the expanded form given below.<br><br> 60+7 + 0.3 + 0.05+0.003
svet-max [94.6K]

Answer: 67.353

Step-by-step explanation:

 60.000

+07.000

+00.300           Writing the numbers like this helps me keep track of them!

+00.050        It lets me see what place each number is in relative to the others

+00.003

67.353

5 0
2 years ago
X^2 + y^2=40 and y=x-4 solve this simultaneous equation
inn [45]
Write x-4 instead of y.
x²+(x-4)²=40
x²+x²-8x+16=40
2x²-8x-24=0
x²-4x-12=0
(x-6)(x+2)=0
x=6 or x=-2

for x=6, y=6-4 = 2
for x=-2, y=-2-4 = -6
3 0
3 years ago
A matrix a is given. determine if the system ax = b (where x and b have the appropriate number of components) has a solution for
Alborosie
We can write the system in the following form:
\left[\begin{array}{cccc}5&-4&4&2\end{array}\right]  \left[\begin{array}{c}x_1\\x_2\\x_3\\x_4\end{array}\right]  =b
The above system is equivalent to the following equation:
5x_1-4x_2+4x_3+2x_4=b,\forall b\in\mathbb{R}
Of course, the above system has solution for any values of b since there is one equation and four variable, there is infinite number of solution each time. 
5 0
3 years ago
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
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