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
3241004551 [841]
3 years ago
14

The function $f$ satisfies \[f(x) + f(2x + y) + 5 x y = f(3x - y) + 2x^2 + 1\]for all real numbers $x$, $y$. determine the value

of $f(10)$.
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0
The value of f(10) is -47.
You might be interested in
I will venmo if someone can please help me
shutvik [7]

Answer: 14.967

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length.  

a² + b² = c²        

x² + 10² = 18²      

x² + 100 = 324         [Subtract 100 from both side]  

          x²= 224        

      √x² = √224     [solve the square root from both sides]

        x   ≈  14.967

4 0
3 years ago
Suppose that 1/2 of all cars sold at a Nissan dealer in a given year are Altimas, 1/3 are Maximas, and the rest are Sentras. Sup
IRINA_888 [86]

Answer:

(1) Not conditional, 5/8

(2) Not conditional, 1/12

(3) Conditional, 1/18

Step-by-step explanation:

Fraction of cars sold

Altima = 1/2

Maxima = 1/3

Sentra = 1 - (1/2 + 1/3) = 1 - 5/6 = (6 - 5)/6 = 1/6

Fraction of cars sold with moon roof

Altima = 3/4 × 1/2 = 3/8

Maxima = 1/2 × 1/3 = 1/6

Sentra = 1/2 × 1/6 = 1/12

(1) Probability (a randomly selected car has a moon roof) = 3/8 + 1/6 + 1/12 = (9+4+2)/24 = 15/24 = 5/8

(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12

(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18

A conditional probability uses if (as a condition) in making statements or asking questions

An unconditional probability makes statement or ask question without the use of condition (if)

5 0
2 years ago
1/2 inch of rain fell during 3/4 of an hour. What is the unit rate of rainfall in inches per hour
Kamila [148]

Answer:

(1/2 inch) / (3/4 hour) = 1/2 * 4/3 inches/hour = 2/3 inches/hour


4 0
2 years ago
Graph y+6 = 4/5 (x+3 using the point and slope given in the equation.
egoroff_w [7]

Answer:

Slope: 4/5

Point: (-3|-6)

4 0
3 years ago
Simplify these expressions<br> a) 5 x x<br> b) 6 xxxy<br> c) 2 xxx 3xy
Gennadij [26K]
5x^2
6x^3y
2x^3 3xy
^ means the little number above x eg x^3
4 0
2 years ago
Other questions:
  • What if Evelyn's dance class started at 11:00 am and lasted 1 hour and 25 minutes? At what time would her class end?describe how
    6·2 answers
  • (-2x²y)³ / (xy²z)² * (-yz)² Hello guys, im having trouble with this babe...
    15·1 answer
  • If f(x) = 2x and g(x)=1/x, what is the domain of (fg)(x)
    8·1 answer
  • For which value of x is line l parallel to line m?<br><br>A. 28<br>B. 62<br>C. 22<br>D. 68​
    11·1 answer
  • How many 2/3 cup servings are in 1/6 of a cup of popcorn? (in simplest fraction form) A) 1/2 B) 1/4 C) 2/3 D) 3/8
    11·1 answer
  • Calculate 97% of 345m
    6·2 answers
  • I need help I’ll give u brainlest
    12·1 answer
  • Find the indicated variable in the trapezoid below.<br><br> NEED TO FIND x,y, and z
    7·1 answer
  • Can u help with 11 pls. Thank u so much. P.S. sorry it's a little blurry.
    9·1 answer
  • Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!