All categories

3 years ago

FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!

Mathematics

1 answer:

Zepler [3.9K]3 years ago

5 0

Answer:

a = 3

b = 5

c = -8

abc = -120

Step-by-step explanation:

You might be interested in

Plz help!!

user100 [1]

I WILL GIVE YOU BRAINLIEST AND 20 POINTS PLEASE HELP!

Do these two cards represent the same relationship? Explain how you know.

6 0

2 years ago

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

2 years ago

Given the equation f(x) = 2x² + 4x - 1, what is axis of symmetry? a. 1 c. -1 b. 2 d. 0

Irina-Kira [14]

Answer: x=-1

Step-by-step explanation:

the x value of the vertex = -b/2a if the equation is in "ax^2+bx+c" for

you are in luck

x value of the vertex = -4/4 = -1

the line of symmetry is a vertical line, and since it must pass through the vertex

line of symmetry: x=-1

4 0

3 years ago

PLEASE HELP ME RN<br> NO LINKS !!!

salantis [7]

Answer:

blank #1 is $588.00

blank #2 is approximately 870 bananas

4 0

2 years ago

Which part of the water cycle is this image most similar to?

damaskus [11]

Collection or percolation

5 0

2 years ago