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3 years ago

How do you know when you've found all the factors of a number?

Mathematics

1 answer:

likoan [24]3 years ago

6 0

You know b cause you evaluate

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The complement of (10 Points)

loris [4]

Answer:

..?

Step-by-step explanation:

6 0

3 years ago

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Draw a quadrilateral that does not belong then explain why

tatyana61 [14]

Answer:

a kite

Step-by-step explanation:

6 0

3 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

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

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

2 years ago

The two-way table shows information about the subjects studied

son4ous [18]

Answer:

a) 62

b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

42 +20 = 62 . . . are male or study biology or both

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

62/90 = 31/45 = P(male or biology)

4 0

2 years ago

The value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after

WARRIOR [948]

General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value

y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650

650 <= 300(1.05)^x

7 0

3 years ago