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
AlladinOne [14]
2 years ago
11

X ^ 2 − 17x − 60

Mathematics
1 answer:
Yakvenalex [24]2 years ago
3 0

{x}^{2}  - 17x - 60 \\ (x + 3)(x - 20)

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

You might be interested in
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

Solve the homogeneous ODE,

y'' - 3y' + 2y = 0

The characteristic equation

r^2 - 3r + 2 = (r - 1) (r - 2) = 0

has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

and solve for c.

ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
Frank received a monthly statement for his college savings account. It listed a deposit of $100 as +100.00. It listed a withdraw
artcher [175]

Answer:

Add: $100

Take Out: $25

Total: $835.50

Step-by-step explanation:

A deposit is an amount that is put into the account, by the owner or by someone else.

A withdrawal is an amount that is taken out of the account.

The overall ending balance shows the total amount in the account at the end of the month.

7 0
3 years ago
Please answer this correctly.
Ganezh [65]

Answer:

The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.

Step-by-step explanation:

The given function is

y=2x^2-5

To find the points which lie on the function, put difference values of x in the given function and find the values of y.

Put x= -2

y=2(-2)^2-5=2(4)-5=8-5=3

Put x= -1

y=2(-1)^2-5=2(1)-5=2-5=-3

Put x= 0

y=2(0)^2-5=2(0)-5=-5=-5

Put x=1

y=2(1)^2-5=2(1)-5=2-5=-3

Put x= 2

y=2(2)^2-5=2(4)-5=8-5=3

The table of values is shown below.

Plot these points on a coordinate plane and connect them by a free hand curve.

The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.

The graph of function is shown below.

5 0
3 years ago
There goes my hopes for Virtuoso rank....
Tpy6a [65]
Y = x^2 + 10x - 171
y = (x - 9)(x + 19)

x - 9= 0 x + 19 = 0
x = 9 x = -19

Answer B covers all requirements... the factored form is
y= (x + 19)(x - 9)
and the zeros are -19 and 9
3 0
3 years ago
A bag of tiles contains 6 green 4 yellow and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosi
astra-53 [7]
3/5 or 60% probability of not choosing green
5 0
2 years ago
Other questions:
  • If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
    14·1 answer
  • Arrange 88,667 132,414 23,112 83,001 to smallest to largest
    8·2 answers
  • Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers 10.Give an example to supp
    13·1 answer
  • Which of the following operations will change the solution of the system x − y = 2 and 3x − 3y = 2?
    13·1 answer
  • What is 14% of 39? (help)
    8·2 answers
  • 736•(119-166)+726-34
    14·2 answers
  • What is factoring?
    6·1 answer
  • Gasoline was 2.869 per gallon one week and 2.989 per gallon the next. By how much did the price change
    9·1 answer
  • #
    6·1 answer
  • In the diagrams, M is the midpoint.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!