1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
coldgirl [10]
3 years ago
9

The table represents a linear function.

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

3

Step-by-step explanation:

For it to be a linear function, then it obeys the general form of a liner equation which is y = mx + c

Where m represents the slope and c represents the y intercept

Now let’s take the last point on the table;

and substitute the values of x and y;

we have;

10 = 2m + c. ••••••••(i)

let’s take the second to the last;

7 = m + c ••••••••••(ii)

So let’s solve both equations simultaneously

Just subtract second from first directly

This gives m = 3

You might be interested in
Uncle Sam sells cups at a shop. For every cup he sells, he collects 20% of the price of the cup. For every 10 cups that he sells
svlad2 [7]

Answer:

if its uncle sam IT MUST BE A CONSPIRACY!!!

Step-by-step explanation:

UNCLE SAM IS WATCHING

4 0
3 years ago
Hurry please
Monica [59]
The answer to this question is b
7 0
3 years ago
How many inches are in 6 & a half yards
Fittoniya [83]
The anwser is 234 inches
6 0
3 years ago
Read 2 more answers
What is the midpoint of GH if the coordinates of G and H are (2,5) and (-6,3)
spayn [35]
Mid point of x:
{2-(-6)} : 2
8 : 2
4

mid point of y:
(5-3) : 2
2 : 2
1

so (4,1)
7 0
3 years ago
Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour
UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

C(t) = C(0)e^{rt}

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So C(0) = 110

Husband

Half life of 4 hours. So

C(4) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{4r}

e^{4r} = 0.5

Applying ln to both sides

\ln{e^{4r}} = \ln{0.5}

4r = \ln{0.5}

r = \frac{\ln{0.5}}{4}

r = -0.1733

So for the husband

C(t) = 110e^{-0.1733t}

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.1733t}

C(11) = 110e^{-0.1733*11} = 16.35

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

C(10) = 0.5C(0) = 0.5*110 = 55

C(t) = C(0)e^{rt}

55 = 110e^{10}

e^{10r} = 0.5

Applying ln to both sides

\ln{e^{10r}} = \ln{0.5}

10r = \ln{0.5}

r = \frac{\ln{0.5}}{10}

r = -0.0693

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

C(t) = 110e^{-0.0693t}

C(11) = 110e^{-0.0693*11} = 51.33

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0
4 years ago
Other questions:
  • Match the polynomial in the left column with its descriptive feature in the right
    14·1 answer
  • Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
    5·2 answers
  • What is the answer???(i need to know)
    14·1 answer
  • The sum of the digits of a 5-digit-priced car totals 15. You know that no digit repeats and that the fourth digit of the car is
    10·1 answer
  • Solve the formula for the indicated variable. W equals XYZ for Z
    8·1 answer
  • Graph the line with slope -1/2 passing through the point (-2,3)
    13·1 answer
  • create a perfect square trinomial that can be factored using special patterns. Factor the trinomial and show all work for full c
    7·2 answers
  • Have a great Early Thx-Giving<br> -Equalizer
    15·2 answers
  • ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adult
    14·1 answer
  • Omar deposited $4000 into an account with 4.4% interest, compounded quarterly. Assuming that no withdrawals are made, how much w
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!