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3 years ago

Expand (x-2)^7 using binomial theorem

Mathematics

1 answer:

Nastasia [14]3 years ago

5 0

Answer:

x^7-14x^6+84x^5-280x^4+560x^3-672x^2+448x^2-128

Step-by-step explanation:

ends are x^7 and 120^7, and use the therom in the middle

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If f(x) = 3x2, what is the x-coordinate of the point of intersection of the graphs of y = f(x) and y = f(x − 4)?

Minchanka [31]

Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.

The x-value is 2.

8 0

3 years ago

Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz

Arte-miy333 [17]

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Step-by-step explanation:

First of all we have to define variables for each item involved in the purchase

Let x represent burger

y represent soda

z be the slice of pizza

Then

"Louis bought a burger and soda for $8"

$x+y=8$

"Kate purchased a slice of pizza and soda for $9"

$y+z=9$

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

$x+y+z=13.50$

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

#LearnwithBrainly

5 0

3 years ago

Ms.jones wants to feed each of the children she babysits a half sandwich for lunch. If she babysits 8 children, how many sandwic

insens350 [35]

Answer:

Step-by-step explanation:

If she makes 4 sandwiches, she splits the 4 sandwiches among 8 children. 4/8 is 1/2 which is half a sandwich for everyone.

8 0

3 years ago

You are working in a small, student-run company that sends out merchandise with university branding to alumni around the world.

topjm [15]

Answer:

The answer is "0.142466".

Step-by-step explanation:

Using the p formula for the proportion of nonconforming units through the subgrouping which can vary in sizes:

$p =\frac{np}{n}\\\\$

$\bar{p}=\frac{\Sigma np}{\Sigma n}\\\\$

Defects $= \frac{5}{100} \times 50 \\\\$

$p = \frac{5}{100} \times \frac{50}{50}=0.05\\\\$

It calculates the controls limits through the p-chart that is:

$UCL_{p},LCL_{p}=\bar{p} \pm \sqrt{\frac{\bar{p}(1-\bar{p})}{\bar{n}}}\\\\$

So, the upper control limits:

$= 0.05 + 3 \times \sqrt{(\frac{0.05\times(1-0.05)}{50})} \\\\= 0.142466$

7 0

3 years ago

Helena lost her marbles. But then she found them and put them in 444 bags with mmm marbles in each bag. She had 333 marbles left

galben [10]

Answer:

y = 444mmm + 333

Step-by-step explanation:

let total marbles = y

putting mmm marbles in 444 bags we have the total in the bags to be 444mmm

but there are 333 marbles left that didnt fit in the bags giving us (+333)

adding them both together

therefore the total marbles will be 444mmm + 333

5 0

3 years ago

Read 2 more answers