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3 years ago

The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

Answer:

x = 1

Step-by-step explanation:

The graph intersects the x-axis at -3 and 5. The axis of symmetry is precisely halfway between these two points: (-3 + 5) / 2 = 2 / 2 = 1.

The axis of symmetry is the vertical line x = 1.

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According to the National Telecommunication and Information Administration, 56.5% of U.S. households owned a computer in 2001. W

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Assuming a binomial distribution for the number of U.S. households that owned a computer in 2001. The formula for binomial distribution is expressed as

P(X = r) = nCr × q^(n - r) × p^r

Where

p = probability of success

q = probability of failure

n = number of sample

From the information given,

p = 56.5% = 56.5/190 = 0.565

q = 1 - p = 1 - 0.565 = 0.435

n = 3

We want to determine P(x greater than or equal to 1). This is also expressed as

1 - P(x lesser than or equal to 1)

P(x lesser than or equal to 1) = P(x = 0) + P(x =1)

P(x = 0) = 3C0 × 0.435^(3 - 0) × 0.565^0 = 0.082

P(x = 1) = 3C1 × 0.435^(3 - 1) × 0.565^1 = 0.32

P(x greater than or equal to 1) = 0.082 + 0.32 = 0.402

6 0

3 years ago

The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm

disa [49]

Given

Area of the regular pentagon is 6.9 cm².

Find out the perimeter of a regular pentagon

To proof

Formula

Area of regular pentagon is

$= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}$

As given in the question

area of regular pentagon = 6.9 cm²

now equating the area value with the area formula.

$6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}$

Now put

√5 = 2.24 ( approx)

put in the above equation

$\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}$

thus

a² = 4.01

a = √ 4.01

a = 2.0 cm ( approx)

As perimeter represented the sum of all sides.

i.e regular pentagon have five sides of equal length.

Thus

perimeter of the regular pentagon = 5 × side length

= 5 ×2.00

therefore the perimeter of the regular pentagon = 10cm

option c is correct

Hence proved

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3 years ago

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The distance light travels in one light year is 5,880,000 meters. Write this is scientific notation.

iris [78.8K]

5,880,000 in scientific notation is: 5.88 x 10^6

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3 years ago

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30% of what equals 60

Elena-2011 [213]

Create an inequality
x/60 = 30/100
x = 200
CHECK ANSWER: 200 x .30 = 60

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3 years ago

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What is the answer to 1-4q=-20

ikadub [295]

Answer:

Step-by-step explanation:

1-4q = -20

-4q = -21

q = 5.25

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3 years ago