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4 years ago

50 POINTS for functions

Mathematics

2 answers:

Novay_Z [31]4 years ago

8 0

Answer:

im going with G

Step-by-step explanation:

mash [69]4 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Factor completely 2x5 + 10x4 − 22x3.

Luba_88 [7]

Given equation is :

$2x^{5}+10x^{4}-22x^{3}$ =0

Taking out $2x^{3}$ common we get,

$x^{2}+5x-11$ =0

Now solving this we get,

As 11 is not factor-able, we will solve it using the formula,

$x=\frac{-b+\sqrt{b^{2}-4ac}}{2a}$

a=1 b=5 and c=-11

we get,

$x=\frac{-5+\sqrt{69} }{2}$ and $x=\frac{-5-\sqrt{69} }{2}$

5 0

3 years ago

Read 2 more answers

Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you

lyudmila [28]

Answer: 1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= $10_P_4$

= $\frac{10!}{(10-4)!}$

= $\frac{10!}{6!}$

= $\frac{10\times 9\times 8\times 7\times 6!}{6!}$

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

The different combinations of machines can Geoff choose from to use

= $11_C_3$

= $\frac{11!}{(11-3)!3!}$

= $\frac{11!}{8!3!}$

= $\frac{11\times 10\times 9\times 8!}{8!\times 6}$

= 11 × 5 × 3

= 165

5 0

3 years ago

The base of a cube is shown. The area of the base is<br> ft. What is the volume of the cube?

LuckyWell [14K]

Step-by-step explanation:

Area of base of cube

$= x \times x = {x}^{2} \\ \\ volume \: \\ = area \: of \: base \times height \\ = {x}^{2} \times x \\ = {x}^{3}$

7 0

4 years ago

Determine which sides correspond with each angle in triangle ABC below

amid [387]

Answer:

1. b 2.a 3c

Step-by-step explanation:

5 0

3 years ago

Given the following equation where A = Area of a rectangle and w = width of the rectangle, what value of 'w' would maximize the

Papessa [141]

Answer:

the second option : w should be 25 units

Step-by-step explanation:

the area of the rectangle is length×width = L×W

the perimeter of a rectangle = 2L + 2W

now, we know that the perimeter is 100 units.

and we have to find the best length of W, that will then define L (to keep the 100 units of perimeter) and maximizes the area of the rectangle.

in other words, what is the maximum area of a rectangle with perimeter of 100 (and what are the corresponding side lengths)?

now, w = 625 is impossible. that side alone would be bigger than the whole perimeter.

W = 0 would render the whole rectangle to a flat line with L = 50 because of

100 = 2L + 2W = 2L + 0 = 2L

L = 50

and A = L×W = 50×0 = 0

an area of 0 is for sure not the largest possible area.

w = 50 would cause L = 0

100 = 2L + 2W = 2L + 2×50 = 2L + 100

0 = 2L

L = 0

and with L = 0 the same thing happens as with W = 0 : a flat line with 0 area.

so, the only remaining useful answer is W = 25

100 = 2L + 2W = 2L + 2×25 = 2L + 50

50 = 2L

L = 25

A = L×W = 25×25 = 625 units²

and indeed, the maximum area for a given perimeter is achieved by arranging the sides to create a square.

8 0

3 years ago