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
Ronch [10]
3 years ago
14

One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.

Mathematics
2 answers:
aivan3 [116]3 years ago
6 0

Answer:

other root: x = 9

p = 7

Step-by-step explanation:

first, find p:

(8)² - (3p - 4)8 + 11p -5 = 0

64 - (24p - 32) + 11p - 5 = 0 –––––> 64 - 24p + 32 + 11p - 5 = 0

91 - 13p = 0

-13p = -91

p = 7

<u>plug in p to find the polynomial:</u>

x² - (3(7) - 4)x + 11(7) - 5 = 0

x² - (21 - 4)x + 77 - 5 = 0

x² - 17x + 72

<u>find the roots:</u>

we know that 8 is one of the roots, so one factor is (x - 8)

the other number needs to be something that equals -17 when added with -8 and 72 when multiplied by -8

that number is -9

so the poly nomial factors to be: (x-8)(x-9)

so the roots are x = 8 and x = 9

Kisachek [45]3 years ago
6 0

Answer:

p = 7

Step-by-step explanation:

x²-(3p-4)x+11p-5=0    ...(1)    Root: 8, x-8 is factor

(x-8) (x- (11p-5)/8) = 0

x² -8x - ((11p-5)/8)*x + (11p-5) = 0

x² - (8 + (11p-5)/8) x + 11p-5 = 0   ----(2)

compare(1) and (2): 3p-4 = 8 + (11p-5)/8

24p - 32 = 64 + 11p - 5

13p = 91

p = 7

check: x²-(3p-4)x+11p-5 = x²- 17x + 72 = (x-8)(x-9)

You might be interested in
Are (121 over 11),(23 over 3), and (85 over 5) in simplest form?
Sedaia [141]
Answers:

121/11=11

23/3=23/3

85/5=17
5 0
3 years ago
Read 2 more answers
Help me pleeeaseeee​
lara [203]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
last season a baseball player scored 14 runs in 18 games. this season the player scored 12 runs in 15 games. find the number of
bija089 [108]
Last season is 1.28 this season is 1.25
3 0
3 years ago
Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

5 0
2 years ago
Simplify the expression-2.3 + (-5.7). On the test when maureen simplified the expression she got -3.4. What mistake did maureen
Hoochie [10]

Answer:

see explanation

Step-by-step explanation:

- 2.3 + (- 5.7)

reminder that + (- ) = -

To obtain - 3.4 it is likely that she added 2.3 to - 5.7

The solution is

- 2.3 - 5.7 = - 8

4 0
3 years ago
Read 2 more answers
Other questions:
  • In common core how do you use dominoes
    5·1 answer
  • What is 2 plus 2 man
    10·2 answers
  • write an equation that defines the graph of y=x^2 after it is shifted vertically 2 units up and horizontally 3 units left
    6·1 answer
  • Please tell me how can i find x without calculator ?
    7·1 answer
  • Please explain how to find the proportional relationship.
    8·1 answer
  • 0.25 to 0.5 Find the percent of change. Round to the nearest tenth of a percent if necessary.
    11·2 answers
  • Which rule would you use to test this parallelogram​
    5·2 answers
  • (order doesn't matter)
    11·1 answer
  • 278 times 35<br> plz help
    9·2 answers
  • Show all the stepsx: 3, 9, 13, 20y: 9, 27, 39, 60State whether the relationship between the variables in the table is a direct v
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!