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
astra-53 [7]
2 years ago
14

TUZ.U410)

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

Answer:

Part A: 15

Part B:

Point slope form: y-400=15(x-5)

Slope intercept form: y =15x+325

Standard Form: 15x-y+325=0

Part C: g(x) =15x+325

Part D: 505

Step-by-step explanation:

We are given the following

x       g(x)

5      $400

10    $475

We can see that these are two points on the line.

i.e. (5, 400) and (10, 475)

OR

x_1 = 5\\x_2 = 10\\y_1 = 400\\y_2 = 475

<u>Part A: </u>Slope of the function:

m=\dfrac{y_2-y_1}{x_2-x_1} \\\Rightarrow m = \dfrac{475-400}{10-5}\\\Rightarrow m = \dfrac{75}{5} = 15

So, slope of the line = 15

<em>It has a positive slope and the function will be increasing with the increasing value of 'x'.</em>

<em></em>

<u>Part B:</u>

Point slope form of a line is given as:

y-y_1=m(x-x_1)

Putting (x_1, y_1)\ as\ (5, 400):

y-400=15(x-5)

Slope intercept form:

y=mx+c where c is the intercept.

y =15x+c

Putting (x,y) as (5, 400) to find c:

400=15\times5+c\\\Rightarrow c = 325

So, the equation in slope intercept form:

y =15x+325

Standard form of line:

Ax+By+C=0

Rewriting the slope intercept form:

15x-y+325=0

<u>Part C:</u>

Using the function notation, putting y = g(x) in slope intercept form:

g(x) =15x+325

<u>Part D:</u>

Balance after 12 days = ?

i.e. g(x) = ? at x = 12

Putting x = 12 in g(x) =15x+325

g(12) =15\times 12+325\\\Rightarrow g(12)=505

You might be interested in
Choose a symbol to make the following statement true
Furkat [3]
Would be <   because 1.7 is a bigger number than 1.625
7 0
2 years ago
Read 2 more answers
Find the area of the figure
Anna71 [15]

Answer: 52x+4

Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.

5 0
3 years ago
If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)
kow [346]

Answer:

The Answer is D

Step-by-step explanation:

All you do is add both equations 3^x+10x+2x-4

then you add the like varibles which is 10x+2x=12x

So, the answer is 3^x+12x-4

6 0
3 years ago
Read 2 more answers
4,11,7,14,10,17,.....?
jek_recluse [69]

Answer:

4,11,7,14,10,17,13,20,16,23,19,26........

8 0
2 years ago
A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

                                       = 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

5 0
2 years ago
Other questions:
  • The graph shows the price, in dollars, of different numbers of sweet breads at Alan's store. The table shows the price, in dolla
    8·1 answer
  • What is the probability of getting two heads and two tails in four flips of a fair coin?
    6·1 answer
  • What rule matches the function represented by the table? ​
    6·1 answer
  • Carl recorded the number of customers who visited his new store during the week:
    14·1 answer
  • Which of the following data is used to determine credit scores? A. who stays with you at your current residence B. the location
    11·1 answer
  • I dont know how i would put this question without useing photos
    15·1 answer
  • Answr da the question please
    8·2 answers
  • Mila has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $10, before disco
    15·2 answers
  • Please answer now!!! Thanks.
    13·2 answers
  • Can someone plz help me so sorry
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!