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Alja [10]
2 years ago
12

(08.01)Consider the following pair of equations:

Mathematics
2 answers:
Nana76 [90]2 years ago
8 0

Answer:

from the first equation

-x-y=-5

-x=y-5

: x=5-y. eqn 3

y= x+1

subtitute x in this equation

:- y= 5-y+1

y+y= 6

2y = 6

y=3

subtitute y in eqn 3

x=y-5

:- x=3-5

x= -2

Nat2105 [25]2 years ago
6 0

Answer:

(2,3)

Step-by-step explanation:

this is the only coordinate that can be plugged in and still be true. therefore, this is the only value that intersect and creates a point.

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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
BRAINLIEST! URGENT! Please help me, If you can explain how you got the answer and if you answer both questions, I will mark you
anastassius [24]

Answer:

1. I have simplified the first question:

x=\frac{10-ab}{a-4};\quad \:a\ne \:4

2. I have found the parabola properties:

\left(h,\:k\right)=\left(\frac{5}{2},\:\frac{25}{4}\right),\:p=-\frac{1}{4}

6 0
2 years ago
Is 1/4 of 200 greater than 1/2 of 100
MAVERICK [17]
No beacuse 1/4 would be less that 1/2 it's common sense
6 0
3 years ago
In the equation x=−3y, what is the unit rate?
Paul [167]
The unit rate is -1/3.

In direct variation, y varies directly to x by a constant ratio k.

Its equation looks like this: y = kx ; where k stands for the constant ratio.

In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.

3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units


 
6 0
3 years ago
The Sognefjord is the deepest fjord in Norway at 1,308 metres (4,291 ft) If a submersible floating on the surface was to dive ve
natali 33 [55]

Answer:

36 minutes

Step-by-step explanation:

Depth of the fjord = 1308 m

Rate at which the submersible dives = 35 meters/minute

Distance to the bottom of the fjord should be 48 m

Distance the submersible has to go underwater is 1308-48=1260\ \text{m}

Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives

\dfrac{1263}{35}=36\ \text{minutes}

The time taken by the submersible to dive the required distance is 36 minutes.

6 0
2 years ago
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