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3241004551 [841]
4 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]4 years ago
8 0
The value of f(10) is -47.
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8. Albert's father is 24 years older than Albert is. In 8 years, his father will be twice as old as Albert. How old is Albert no
Hunter-Best [27]
Albert´s ftather age=x
Albert age=y

We suggest this system of equations:
y=x-24
x+8=2(y+8)

we solve this system of equation by substitution method.

x+8=2[(x-24)+8]
x+8=2(x-16)
x+8=2x-32
x-2x=-32-8
-x=-40
x=40

y=x-24
y=40-24
y=16

Answer: Albert´s father is 40 years old, and Albert is 16 years old.


4 0
3 years ago
This is due tonight and i really need this answer, whoever answers god bless.
Luba_88 [7]

Answer:

a. f(1) = -4

b. One value of x for which f(x) = -1 : 2 (or -2)

Step-by-step explanation:

a. To find f(1), we would have to find what the value of the function would be when x = 1. By using the given graph, we can find the f(1) by finding what the y-value is when x = 1. Looking at the graph, we can see that when x = 1, y = -4. Thus, f(1) = - 4.

b. Now we are also asked to find one value of x for which f(x) = -1. In other words, what values of x would make the value of the function equal to -1? We can find values of x for which f(x) = -1 by using the graph and seeing for which x-values would the y-value be -1. We can see that y = -1 at x = -2 and x = 2. So the values of x at which f(x) = -1 are -2 and 2. You can choose either one of these values.

I hope you find my answer and explanation to be helpful. Happy studying.

7 0
4 years ago
Please help me ,anyonecplease
Yakvenalex [24]
Hello,

94=A*e^(k*0)==>A=94
99=94*e^(k*6)==>k=(ln(99/94))/6≈0.0086375...
==>94*e^(k*12)=104.2659574...≈104 (millions)
8 0
3 years ago
Find the missing measure for a right circular cone given the following information. Find L.A. if r = 6 and h = 8 48 60 96
svetlana [45]
\bf \textit{lateral area of a cone}\\\\
LA=\pi r\sqrt{r^2+h^2}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=6\\
h=8
\end{cases}\implies LA=\pi(6)\sqrt{6^2+8^2}
\\\\\\
LA=6\pi \sqrt{100}\implies LA=6\pi (10)\implies LA=60\pi
8 0
4 years ago
The area of a rectangular patio is 5 5/8 square yards and its length is 1 1/2 yards what is the patios in yards
IRISSAK [1]

5 5/8= 45/8

1 1/2= 3/2

45/8 divided by 3/2

Or

45/8 times 2/3

15/4 or 3 3/4

3 0
4 years ago
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