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
Marta_Voda [28]
3 years ago
7

A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,

the clinic saw 85 patients. In week 10 of flu season, the clinic saw 65 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic.
f(x)=20x+85
f(x)=-20x+85
f(x)=4x+105
f(x)=-4x+105
Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

D.f(x) = −4x + 105

D.f(x) = −4x + 105

Step-by-step explanation:

Since the function in linear, we know it has a slope.

We know 2 points

(5,85) and (10,65) are 2 points on the line

m = (y2-y1)/(x2-x1)

  = (65-85)/(10-5)

   =-20/5

   =-4

We know a point and the slope, we can use point slope form to write the equation

y-y1 =m(x-x1)

y-85 = -4(x-5)

Distribute

y-85 = -4x+20

Add 85 to each side

y-85+85 = -4x+20+85

y = -4x+105

Changing this to function form

f(x) =-4x+105

You might be interested in
Can someone do it :) Simplify 5(x - 6).
sergeinik [125]

Answer:

5x - 30

Step-by-step explanation:

I used the distributive property and I think I got it.

5 0
3 years ago
Read 2 more answers
Hey, Its the same person. This is Algebra 2. Please Help!
suter [353]

Answer:

first option

Step-by-step explanation:

Given

f(x) = \frac{2x^2+5x-12}{x+4} ← factorise the numerator

     = \frac{(x + 4)(2x-3)}{x+4} ← cancel (x + 4) on numerator/ denominator

     = 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

There is a zero at ( \frac{3}{2}, 0 )

Thus

discontinuity at (- 4, - 11 ), zero at ( \frac{3}{2}, 0 )

7 0
3 years ago
How do you solve this equation ?
Lyrx [107]
Is z an angle? if so, i'll use the ration [email protected]=perpendicular/base
tanZ=15/20=3/4 answer
5 0
3 years ago
When comparing the two sets of data, what is a true statement
PolarNik [594]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which relation is a function? Graph with 5 points plotted at (negative 3, 2), (negative 2, 2), (negative 1, 2), (negative 2, neg
Olenka [21]

Answer:


use the verticle line test. if a verticle line touches two points on the graph then it is not a function, if the verticle line only touches one point then it is a function.

for your question the answer is the 3rd option - Graph with 5 points plotted at (negative 3, 2), (negative 2, negative 1), (0, 3), (1, 0), and (2, negative 3)


3 0
3 years ago
Other questions:
  • Haaaaaaaalp meeeeeeee
    5·1 answer
  • One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I ta
    6·2 answers
  • 24 divided by 7 by remainders
    6·2 answers
  • Macie used 1/8 of a gram of honey to make 1/10 of a cake. How many grams of honey does it take to make one whole cake?
    14·2 answers
  • It is reported that the average woman's hair grows a quarter of an inch per month. A new vitamin company believes that women who
    9·1 answer
  • 3 = -3 + -2v<br> = 1<br> What is this
    9·1 answer
  • Show coins to count back the change you would get if you bought candy for .12 cents and paid for it with a quarter. answer
    7·1 answer
  • Write an algebraic expression or equation five times the sum of 3 and a number​
    10·1 answer
  • Find SQ?<br>Find m&lt;QRS?​
    15·1 answer
  • F(x)= (x+1)/2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!