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3 years ago

Graph the equation 6x - y=-1

Mathematics

1 answer:

weqwewe [10]3 years ago

3 0

Answer:

$- \frac{146}{5}$

that the answer

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Which is the best name for numbers that describe distances on a map?

Vinvika [58]

Answer: Mapping and Cartography

Step-by-step explanation:

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4 0

3 years ago

-2x(3x - 4) = 0 Write the equation in standard form.

anastassius [24]

-6x^2+8x=0

Multiply -2x to (3x-4)

-2x times 3x is -6x^2

-2x times -4 is -8x

3 0

3 years ago

A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of s

ruslelena [56]

Answer:

First term = a = 125

Step-by-step explanation:

Question: find the number of shoppers on the first day

This is a geometric progression question

The sum of the terms = 671

Sum of a geometric sequence,Sn = (ar^n - 1) / (r - 1)

Where,

n = number of term in the sequence.

a = first term in the sequence.

r = common ratio

r = 1 + 20%

= 1 + 20/100

= 1 + 0.2

= 1.2

n = 4 (first 4 days)

Sn = (ar^n - 1) / (r - 1)

Sn = 671 where n = 4

671 = {a × 1.2^(4) - 1} / 1.2 - 1

671 = {a × 2.0736 - 1} / 0.2

671 = (2.0736a - a) / 0.2

671 = 1.0736a / 0.2

671 = 5.368a

Divide both sides by 5.368

a = 671 / 5.368

a = 125

3 0

3 years ago

If Jamie uses 12 beads how many black beads does she use

VladimirAG [237]

Jamie would use 8 red beads

7 0

3 years ago

Read 2 more answers

A small shelter for delicate plants is to be constructed of thin plastic material. It will have a square end and a rectangular t

Over [174]

Part A

The four plastic sides comprises of two equal squares of area $x^{2}$ each and two equal rectangles of area $xy$ each.

Given that t<span>he total area of the four plastic sides is to be $1200in^2$ , thus:

$2x^2+2xy=1200 \\ \\ \Rightarrow x^2+xy=600 \\ \\ \Rightarrow xy=600-x^2$

The volume of the figure is given by: Volume = Area of base x depth

$V=(xy)x=x(600-x^2)=600x-x^3$

Part B:

For maximum volume, the derivative of V with respect to x will equal 0.

$\frac{dV}{dx} =0 \\ \\ \Rightarrow600-3x^2=0 \\ \\ \Rightarrow3x^2=600 \\ \\ \Rightarrow x^2=200 \\ \\ \Rightarrow x=\pm \sqrt{200} =\pm14.14$

But dimensions has to be positive, thus the value of x which produces maximum volume is x = 14.14

Recall that

$xy=600-x \\ \\ \Rightarrow y= \frac{600}{x} -x \\ \\ = \frac{600}{14.14} -14.14 \\ \\ =42.43-14.14 \\ \\ =28.29$

Therefore, the </span><span>dimensions that will maximize the volume of the shelter is x = 14.14 and y = 28.29</span>

7 0

3 years ago