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3 years ago

14

PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above,

state the domain and range, then determine if the relation is a function.

2 answers:

nignag [31]3 years ago

6 0

not a function

because the income(x) cannot have multiple outcomes that are different

Damm [24]3 years ago

5 0

Answer:

Step-by-step explanation:

domain is x = input = {3, 6, 12, 18}

Range is y = output = {5, 7, 9, 10}

for x = 6 y has two values y = 5, 10

so it is not a function

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.

yulyashka [42]

Answer:

See below

Step-by-step explanation:

I assume you mean $f(x)=\frac{x^2-2x}{x^3+9x^2-10x}$ :

Holes: Since $f(x)=\frac{x^2-2x}{x^3+9x^2-10x}$ reduces to $f(x)=\frac{x(x-2)}{x(x^2+9x-10)}$ , then there is a hole at $x=0$ as $x$ exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).

Vertical Asymptotes: If we further reduce $f(x)=\frac{x(x-2)}{x(x^2+9x-10)}$ to $f(x)=\frac{x-2}{(x+10)(x-1)}$ , then we see that there are vertical asymptotes at $x=-10$ and $x=1$

Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ( $2$ ), then there is a horizontal asymptote at $y=0$

4 0

2 years ago

Select all the expressions that are equivalent to 4(b)

dsp73

Answer:

#1 is a and c

#2 its c and d

#3 is a

#4 is b and d

#5 is a

#6 is b

#7 is b

Step-by-step explanation:

hope this helps :)

6 0

3 years ago

Imagine the bike shop sells bike rentals for a local bike tour. The tour costs $50 for equipment plus $7.50 per hour. Explain ho

kow [346]

Answer:87.5

Step-by-step explanation: I can find the total cost of a 5 hire bike tour because I'm given the unit rate and the amount of time to multiply it by.

8 0

3 years ago

A rectangular prism has a length of 4/5 inch and a width of 1/3 inch the volume of the prism is 32/45 cubic inch find the height

Sidana [21]

Answer:

2 and 2/3 inches

Step-by-step explanation:

v = l x w x h

$\frac{32}{45}$ = $\frac{4}{5}$ · $\frac{1}{3}$ · h

$\frac{32}{45}$ = $\frac{4}{15}$ h

cross-multiply to get 45 x 4 x h = 32 x 15

180h = 480

5 0

3 years ago