3 years ago

What is the vertex of f(x) = 3|x|

Mathematics

1 answer:

masha68 [24]3 years ago

4 0

Answer:

$3 \times |x| = 0 \\ 3 \times |x| \div 3 = 0 \div 3 \\ |x | = 0 \\ x = 0$

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The circumference of a flower garden is 247 ud. What is the area of the flower garden in terms of

lisov135 [29]

Answer:15252.25π^3

Step-by-step explanation:

Radius=r

Circumference=247 ud

Circumference=2 x π x r

247=2πr

Divide both sides by 2π

247/2π=2πr/2π

123.5π=r

Radius=123.5π

Area of circle=π x r x r

Area of circle=π x 123.5π x 123.5π

Area of circle=15252.25π^3

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3 years ago

The Walt Whitman bridge is 2000 feet long. This is 600 feet longer than two fifths of the length of George Washington bridge. Wr

Minchanka [31]

Answer:

2000= 600+2/5x

Step-by-step explanation:

length = X Ft

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multiple both sides by 5/2:

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3 years ago

Simplify 8 2(10 – r).

MissTica

Is the 8 with the problem?

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3 years ago

An irregular polygon has its external angles as 28°,40°,120°,142° and x. Find the value of x

zalisa [80]

Answer:

X=30

Step-by-step explanation:

The whole polygon is 360 degrees so:

360-28-40-120-142=X, which is 30

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4 years ago

Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.

timurjin [86]

Answer:

Step-by-step explanation:

Given that events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.

i.e. A1, A2, and A3 are mutually exclusive and exhaustive

E is an event such that

P(E|A1) = 0.1, P(E|A2) = 0.6, P(E|A3) = 0.8,

$P(E) = P(A_1E)+P(A_2E)+P(A_3E)\\= \Sigma P(E/A_1) P(A_1) \\= 0.1(0.3)+0.5(0.6)+0.8(0.2)\\= 0.03+0.3+0.16\\= 0.49$

$P(A_1/E) = P(A_1E)/P(E) = \frac{0.3(0.1)}{0.49} \\=0.061224$

$P(A_2/E) = P(A_2E)/P(E) = \frac{0.5)(0.6)}{0.49} \\=0.61224$

$P(A_3/E) = P(A_3E)/P(E) = \frac{0.2)(0.8)}{0.49} \\=0.3265$

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3 years ago