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2 years ago

Which function has a vertex at the origin?

Mathematics

2 answers:

aksik [14]2 years ago

8 0

Answer:

f(x)=-x2

Step-by-step explanation:

I believe the first one has a vertex at (-4, 0), the second at (4, 0), the third at (4, -4). The only remaining answer is the last one.

ddd [48]2 years ago

8 0

Answer:

D. f(x) = –x2

Step-by-step explanation:

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

1 year ago

Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in

lutik1710 [3]

Answer: 12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together

$\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}$

i.e. $\dfrac{1}{t}=\dfrac{6-5}{12}$

i.e. $\dfrac{1}{t}=\dfrac{1}{12}$

i.e. t= 12

Hence, Francisco would take 12 hours to paint one room on his own.

8 0

2 years ago

A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how lon

joja [24]

jswkwbekegeo do six

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2 years ago

Find the nonpermissible replacement for x in this expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-8x%7D" id="TexF

iren2701 [21]

Answer:

Step-by-step explanation:

It is not permissible for the denominator to be zero, so the "nonpermissible replacement" for x is 0.

8 0

2 years ago

2. Find the fraction which is exactly halfway between 1/7 and 4/7

Ksivusya [100]

Answer:

That would be the fraction exactly between 2/7 and 3/7

which would be 2.5 / 7 or 5 / 14

Step-by-step explanation:

4 0

2 years ago