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frez [133]
2 years ago
12

Am adult ticket at an amusement park cost $24.95 and a child’s ticket costs $15.95. A group of 10 people paid $186.50 to enter t

he park . How many were adults?
Mathematics
2 answers:
kifflom [539]2 years ago
7 0

The correct answer is 4 adults


saveliy_v [14]2 years ago
3 0

there were four adults

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Alex started a new social media account,which he used to post pictures of cute animals. On the first day he only had 8 followers
Hatshy [7]

Answer:

648 followers

Step-by-step explanation:

Let first day=a1

Tripled followers everyday

Second day=a2=a1×3

Third day=a3=a2*3

Fourth day=a4=a3*3

Fifth day=a5=a4*3

a=8 followers

a2=a1×3

=3*8

=24 followers

a3=a2*3

=24*3

=72 followers

a4=a3*3

=72*3

=216 followers

a5=a4*3

=216*3

=648 followers

On the fifth day, Alex will have a total of 648 followers on his new social media account.

7 0
2 years ago
se the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable at (0, 0). f(x, y) = 9x2y x4 + y
alexandr1967 [171]

Answer:

It is proved that f_x, f_y exixts at (0,0) but not differentiable there.

Step-by-step explanation:

Given function is,

f(x,y)=\frac{9x^2y}{x^4+y^2}; (x,y)\neq (0,0)

  • To show exixtance of f_x(0,0), f_y(0,0) we take,

f_x(0,0)=\lim_{h\to 0}\frac{f(h+0,k+0)-f(0,0)}{h}=\lim_{h\to 0}\frac{\frac{9h^2k}{h^4+k^2}-0}{h}\\\therefore f_x(0,0)=\lim_{h\to 0}\frac{9hk}{h^4+k^2}=\lim_{h\to 0}\frac{9k}{h^3+\frac{k^2}{h}}=0    exists.

And,

f_y(0,0)=\lim_{k\to 0}\frac{f(h,k)-f(0,0)}{k}=\lim_{k\to 0}\frac{9h^2k}{k(h^4+k^2)}=\lim_{k\to 0}\frac{9h^2}{h^4+k^2}=\frac{9}{h^2}   exists.

  • To show f(x,y) is not differentiable at the origin cheaking continuity at origin be such that,

\lim_{(x,y)\to (0,0)}\frac{9x^2y}{x^4+y^2}=\lim_{x\to 0\\ y=mx^2}\frac{9x^2y}{x^4+y^2}=\frac{9x^2\times m x^2}{x^4+m^2x^4}=\frac{9m}{1+m^2}  where m is a variable.

which depends on various values of m, therefore limit does not exists. So f(x,y) is not continuous at (0,0). Hence it is not differentiable at (0,0).

4 0
2 years ago
Is 12x=7y-10y a linear equation?
Kruka [31]
 <span>12x = 7y-10y 
12x = -3y 
-4x= y 
y = -4x</span>
4 0
1 year ago
To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 5 units and 9 units.
Monica [59]
To graph the function g(x) = (x<span> – 5)</span>2<span> – 9, shift the graph of </span>f(x<span>) = </span>x2 <span>✔ right 
</span><span> 5 units and </span><span>✔ down</span><span> 9 units.</span>
4 0
1 year ago
Read 2 more answers
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t
LuckyWell [14K]
Isosollese triangle has 2 equal sides that are longer than legnth of base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3, wat is legnth of base
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 idneical sides
2(6.3)+b=15.7
12.6+b=15.7
subtract 12.6 from btohs ides
b=3.1
answer is base=3.1 cm
8 0
1 year ago
Read 2 more answers
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