Answer:
0 (zero)
Step-by-step explanation:
A horizontal line has zero slope.
Answer:
It the 3rd one it's correct cuz i worked it out
Can i have a brainliest please!!:)
Step-by-step explanation:
solve your system by substitution.
c+3d=8;c=4d−6
Rewrite equations:
c=4d−6;c+3d=8
Step: Solve c=4d−6for c:
c=4d−6
Step: Substitute4d−6forcinc+3d=8:
c+3d=8
4d−6+3d=8
7d−6=8(Simplify both sides of the equation)
7d−6+6=8+6(Add 6 to both sides)
7d=14
7d
7
=
14
7
(Divide both sides by 7)
d=2
Step: Substitute2fordinc=4d−6:
c=4d−6
c=(4)(2)−6
c=2(Simplify both sides of the equation)
Answer:
c=2 and d=2
He should pay 22.6$ because 13% of 20 is 2.6 which you get by multiplying 20 by .13 and then add it to the original 20$
Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936