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3 years ago

Simplify the expression (3x4 + 9x3 – 7x + 15) + (-6X4 – 8x2 + 5x – 3)

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.

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W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo

weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

Given $W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}$

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

$P = 2^n - 1$

Where

$n = number\ of\ elements$

In this case;

$n = 10$

So:

$P = 2^n - 1$

$P = 2^{10} - 1$

$P = 1024 - 1$

$P = 1023$

Hence;

<em>Proper Subsets = 1023</em>

7 0

3 years ago

16^10 x 16^4 need the work

Alex787 [66]

Answer:

$16^{10}*16^{4} \\= 16^{14}$

Property used: $a^{m} * a^{n} = a^{m+n}$

3 0

3 years ago

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

3 years ago

Pleaseeeeee help me i appreciate it

4vir4ik [10]

Answer:

Choice A (older trees are generally taller than younger trees)

Step-by-step explanation:

As you increase the x value, the y value tends to increase as well. Choice B is incorrect because the points are clustered together in a linear fashion, showing correlation. Choice C is incorrect because the fact that they are clustered around a line of best fit shows high correlation. Choice D is incorrect because a negative correlation coefficient would mean the y decreases as x increases.

7 0

3 years ago

Write the equation of the line that passes through the points (6,3) and (-7,9). Put

natka813 [3]

Answer:

Step-by-step explanation:

slope=(9-3)/(-7-6)=-6/13

reqd eq. of line is

y-3=-6/13(x-6)

5 0

3 years ago

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