answer.
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
Bumek [7]
2 years ago
9

When p2 – 4p is subtracted from p2 + p – 6, the result is . To get p – 9, subtract from this result.

Mathematics
1 answer:
DochEvi [55]2 years ago
7 0

Answer:

When p2 – 4p is subtracted from p2 + p – 6, the result is:

p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6

To get p – 9, subtract from this result x:

5p-6-x=p-9

Solving for x:

5p-6-x+x-p+9=p-9+x-p+9

4p+3=x

x=4p+3

Answer:

1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6

2) To get p – 9, subtract from this result 4p+3

Step-by-step explanation:

You might be interested in
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.
laiz [17]

Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

3 0
2 years ago
What is the greatest common factor of 4k, 18k4, and 12?
Semenov [28]
The greatest common factor of 4k, 18k4 and 12 is
4

Finding the GCF of monomials requires inspection of the terms and looking for common factors that would be able to reduce the terms to whole numbers and variables with positive exponents.
5 0
2 years ago
Read 2 more answers
Clarissa's income puts her in the bottom tax bracket (10%) last year. During the same year, she earned $250 in dividends and $75
Art [367]

Answer:

75 in coupons.

250 in dividends.

profit of 600 - 425 = 175 from her stock investment.  

her total income is 250 + 75 + 175 = 500.  

if all of this is taxed at 10%, then her tax will be 500 * .1 = 50.  

8 0
2 years ago
489 to the nearest ten​
sammy [17]
8 is in the tenth position.

In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.

Your answer is 490
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?
    13·2 answers
  • Patricia has 3.75 pounds of hamburger. She is making hamburgers with 0.25 pound of hamburger each. How many hamburgers can she m
    12·1 answer
  • Do you think mr. carpenter should Use a rectangle to arrange the 29 quilt squares, if not, what shape should he use?
    6·1 answer
  • The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio
    10·2 answers
  • Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8
    12·1 answer
  • Leanne works at a restaurant. For dinner, there is a choice of 3 main dishes and 2 sides.
    14·1 answer
  • Miguel's family drove 357 miles on their weekend trip. Their car's average gas mileage was 25.5 miles per gallon, How
    9·1 answer
  • An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8.
    10·1 answer
  • Gil buys 4 books for $16. Then he sells 3 CDs for $27. Write equations for y, Gil’s change in money after buying a book, and for
    12·1 answer
  • H(t)=(t+3)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!