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3 years ago

The quadratic function f(x) has a turning point at (-3,6). the quadratic y=2/3f(x)+3 would have a turning point of

Mathematics

1 answer:

NARA [144]3 years ago

4 0

Answer:

C. (-3,11)

Step-by-step explanation:

Tp is (-3,6) implies the quadratic could have been

f(x) = (x+3)²+6

(2/3)f(x) = (2/3)[(x+3)²+6]

= (2/3)(x+3)²+4

(2/3)f(x)+3 = (2/3)(x+3)²+4+3

= (2/3)(x+3)²+7

Tp at (-3,7)

Alternately,

No change in domain so x remains-3

(2/3)f(x) changes y from 6 to 4 (6×2/3)

+3 increases the y by 3

i.e 4+3 = 7

So, (-3,7)

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4 years ago

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Find the distance of a(1,8) and point c (-8,-6) then find the midpoint of ac

mr Goodwill [35]

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3 years ago

For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the pr

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Answer: Probability of randomly selecting a member who likes to cook or likes to sew = 58%

Step-by-step explanation:

Since we have given that

Probability of a randomly selecting a member who likes to cook=P(C) = 42%

Probability of a randomly selecting a member who likes to sew =P(S)= 23%

Probability of a randomly selecting a member who likes to both cook and sew

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$P(C\cup S)=P(C)+P(S)-P(S\cap C)\\\\P(C\cup S)=42+23-7\\\\P(C\cup S)=58$

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3 years ago

The length of one side of a regular pentagon is 18.3 cm. What is the perimeter of this pentagon?

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4 years ago

The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of

Eva8 [605]

Answer:

806.12 m

Step-by-step explanation:

Step 1: Write the data

Side (s) = 12

Altitude (h) = 6

Step 2: Write the formula for surface area of right hexagonal pyramid

Area = 3√3/2*s² + 3*s*√(h²+3s²/4)

Step 3: Substitute values of 's' and 'h'

Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]

Area = 806.12 m

Therefore, the total surface area of the pyramid is 806.12 m.

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3 years ago