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3 years ago

The relationship among integers, natural numbers, rational numbers, and whole numbers?

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

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goldfiish [28.3K]

Answer: there are three of the holidays

Step-by-step explanation:

The prime numbers through 31 include 2,3,5,7,11,13,17,19,23,29,31,and 37 so therefore three of the holidays (Martin Luther, Easter, and Thanksgiving) fall on days that are prime numbers

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3 years ago

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denpristay [2]

Answer: c

Step-by-step explanation:

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3 years ago

The cost (c) in dollars to rent a chain saw for h hours is found using the equation c = 3h + 6 How much would it cost to rent th

Rudik [331]

Answer:

It cost $42 to rent a chain saw for 12 hours.

Step-by-step explanation:

Plug in 12 for h.

c = 3(12) + 6

c = 36 + 6

c = 42

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3 years ago

Maggie and jillian are both collecting postcards. Maggie has 4 times as many postcards as jillian. Maggie has 40 postcards.

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Answer:

Step-by-step explanation:

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2 years ago

Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa

choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

$y=x^{2}-2x-3$

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

$(x - h)^{2}=4p(y - k)$

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

$y=x^{2}-2x-3$

$y+3=x^{2}-2x$

$y+3+1=x^{2}-2x+1$

$y+4=x^{2}-2x+1$

$y+4=(x-1)^{2}$

$(x-1)^{2}=(y+4)$ ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0

3 years ago