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notsponge [240]
2 years ago
8

Find the vertex of the quadratic function.

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

hi,

the function is given with it's canonic form.  

canonic form is  :  f(x) = a ( x-α)² + β

α  and β are the value of the coordonnates of the vertex.

so here we  have : ƒ(x) = 2(x−1)² +3

with α = 1  and β = 3

so vertex is  V (1;3)

So yes, answer is   A.

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Shauna is making accessories for the soccer team she uses 513.48 inches of fabric on headbands for 40 player and 4 coaches she u
AleksAgata [21]

Answer:

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

Step-by-step explanation:

Shauna is making accessories for the soccer team

For Headbands

She uses 513.48 inches of fabric on headbands for 40 player and 4 coaches

The total number of persons = 40 players + 4 coaches

= 44 persons

Hence:

44 persons = 513.48 inches

1 person = x

Cross Multiply

44x = 513.48 inches × 1

x = 513.48 inches/44

x = 11.67 inches per person

For Wristbands

She uses 372.40 inches of fabric on wristbands for just the players how much fabric was used on a headband and wristband for each player?

Number of players = 40

Hence

40 players = 372.40 inches

1 players = x inches

Cross Multiply

40x = 372.40 inches

x = 372.40 inches/40

x = 9.31 inches

Hence, 9.31 inches per player.

Therefore

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

5 0
3 years ago
In 2009, there were 186 thousand students who earned bacn-
coldgirl [10]

Answer: 186,000

Step-by-step explanation: 186,000 = 20 percent.

20 x 5 = 100 percent

186,000 x 5 = 100 percent

186,000 x 5 = 930,000.

930,000 student earned bachelor's degrees in 2009.

(ps, i would love it if you put me as brainliest xo)

6 0
3 years ago
A number is multiplied by 6 and the result is 48. Find the number.
eduard

Answer:

the answer is 8

Step-by-step explanation:

8x6=48

7 0
3 years ago
Read 2 more answers
In a recent survey 75 of the community favored building a police substation in their neighborlhood. If 20 citizens are chosen. W
Anton [14]

Answer:

Mean = 15

Standard deviation = 1.94

Step-by-step explanation:

We are given the following information:

We treat favoring of building a police substation as a success.

P(Success) = 75% = 0.75

Then the number of citizens follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 20

We have to find the mean and the standard deviation.

\mu = np = 20(0.75 ) = 15\\\sigma = \sqrt{np(1-p)} = \sqrt{20(0.75)(1-0.75)} = 1.94

Thus, the mean of favoring the substation is 15 and the standard deviation of favoring substation is 1.94

7 0
3 years ago
Which f the following is the inverse of the statement "if I do my homework, then it will snow?
Diano4ka-milaya [45]
If i do not do my homework, then it will not snow
4 0
3 years ago
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