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3 years ago

F(x)=-(x-1)²+4 determine the vertex

Mathematics

2 answers:

Allushta [10]3 years ago

6 0

The vertex would be (1,4)

AysviL [449]3 years ago

5 0

Answer:

Step-by-step explanation:

(1,4)

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Suppose that the members of a student governance committee will be selected from the 40 members of the student senate. There are

Len [333]

Answer:

The total number of ways to form a student governance committee is 1,211,760.

Step-by-step explanation:

The students senate consists of a total of 40 students.

The students are either Sophomores or Juniors or Seniors.

The number of students in each of these categories are as follows:

Sophomores = 18

Juniors = 12

Seniors = 10

A governance committee have to be selected from the students senate.

The committee have to made up of 2 sophomores, 2 juniors and 3 seniors.

Combinations can be used to select 2 sophomores from 18, 2 juniors from 12 and 3 seniors from 10.

Combinations is a mathematical technique used to determine the number of ways to select <em>k</em> items from <em>n</em> distinct items.

The formula is:

${n\choose k}=\frac{n!}{k!(n-k)!}$

(1)

Compute the number of ways to select 2 sophomores from 18 as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${18\choose 2}=\frac{18!}{2!(18-2)!}=\frac{18\times 17\times 16!}{2\times 16!}=153$

Thus, there are 153 ways to select 2 sophomores from 18.

(2)

Compute the number of ways to select 2 juniors from 12 as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${12\choose 2}=\frac{12!}{2!(12-2)!}=\frac{12\times 11\times 10!}{2\times 10!}=66$

Thus, there are 66 ways to select 2 juniors from 12.

(3)

Compute the number of ways to select 3 seniors from 10 as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${10\choose 3}=\frac{10!}{3!(10-3)!}=\frac{10\times 9\times 8\times 7!}{2\times 3\times 7!}=120$

Thus, there are 120 ways to select 3 seniors from 10.

The total number of ways to form a student governance committee that must have 2 sophomores, 2 juniors and 3 seniors is:

Total number of ways = ${18\choose 2}\times {12\choose 2}\times {10\choose 3}$

$=153\times 66\times 120\\=1211760$

Thus, the total number of ways to form a student governance committee is 1,211,760.

7 0

3 years ago

What is one hundred divided by 27

Sonbull [250]

Answer:

The answer is 3.703 repeating

Hope this helps!!!

Please mark as brainliest:)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

10.3 anwsers page 205 on weight

drek231 [11]

Uhh I wish I could help but I cannot I'm so sorry

5 0

3 years ago

Select ALL the correct answers.

murzikaleks [220]

Answer:

2(x -1) - 3(4 x² + 7 x +1)

(-16 x² +10 x - 3) + (4 x² -29 x -2) these expressions are equivalent to the polynomial -12 r²- 19 r -5

Step-by-step explanation:

2(x -1) - 3(4 x² + 7 x +1)

= 2 x -2 -12 x² - 21 x - 3

= -12 x² -19 x -5

This expression is equivalent to the polynomial -12 r² - 19 r -5

Another equation is

(-16 x² +10 x - 3) + (4 x² -29 x -2)

= -16 x² +10 x - 3 + 4 x² - 29 x - 2

= -12 x² -19 x - 5

This expression is also equivalent to the polynomial -12 r² - 19 r -5

6 0

3 years ago

At a park, 96 brown bag lunches were given out in thirty minutes. If 29 bags remain and X represent the starting number of brown

olya-2409 [2.1K]

96=29+x
then solve
so you subtract 29 from both sides of the equation,
and you would have 67=x

4 0

3 years ago