Answer:
2(x+1)²-3
Step-by-step explanation:
Using the vertex formula we can write the follwoing equation
y=a(x+1)²-3
We need to solve for a
we know that when x= 2 y = 15
So we can write
15=a(2+1)²-3
15=9a-3
18=9a
a=2
Which means our final equation is
2(x+1)²-3
in standard form (just in case)
2x²+4x-1
The probability that an adult likes soccer is aged between 18–30 will be 44.4%.
We have an adult who likes soccer.
We have to determine the probability the adult is aged 18–30.
<h3>What is Probability?</h3>
The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) =
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes.
According to question, we have an adult likes soccer.
The answer to this question is based on the hypothesis that the adults between 18 - 30 are highly energetic. To be more precisely - the adults in the range 18 - 24 and 24 - 30 are highly energetic and full of stamina. Above the age 30, the number of adults who like soccer will start to decrease and will hit nearly zero between the age range of 55 - 65 as the adults in this age group found it very difficult to even walk.
Mathematically -
The probability of an event A = an adult likes soccer is aged between 18–30 will be the highest value among the ones mentioned in options.
Hence, the probability that an adult likes soccer is aged between 18–30 will be 44.4%.
To solve more questions on Probability, visit the link below -
brainly.com/question/24028840
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The answer to the question is 44 use pemdas
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is


Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is


Now, comparing areas:

2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
Answer:
116 cm²
Step-by-step explanation:
The area of a circle = πr² ← r is the radius
shaded area = external area - internal area
= π × 6.5² - π × 2.3²
= π( 42.25 - 5.29)
= π × 36.96 ≈ 116 cm²