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vampirchik [111]
3 years ago
9

A number n is at least 4

Mathematics
1 answer:
Llana [10]3 years ago
3 0
Dear Nanabird0115, n≥4 n=4, 5, 6, 7, 8, 9, 10...
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Which is a solution to the equation?
zavuch27 [327]

Answer:

ox=-7

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x

=

4

,

−

7

4 0
3 years ago
Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Whitch of the foll
In-s [12.5K]

Answer:

<em>A. (C+D)^2  is the largest expression</em>

Step-by-step explanation:

<u>Squaring Properties </u>

The square of a number N is shown as N^2 and is the product of N by itself, i.e.  

N^2=N*N

If N is positive and less than one, its square is less than N, i.e.

N^2

If N is greater than one, its square is greater than N

N^2>N, \ for\ N>1

We have the following information: C and D represent two different school populations, C > D, and C and D must be positive. We can safely assume C and D are also greater or equal than 1. Let's evaluate the following expressions to find out which is the largest

A. (C+D)^2

Expanding  

(C+D)^2=C^2+2CD+D^2

Is the sum of three positive quantities. This is the largest of all as we'll prove later

B. 2(C+D)

The extreme case is when C=2 and D=1 (recall C>D). It results:

2(C+D)=2(3)=6

The first expression will be

(3)^2=9

Any other combination of C and D will result smaller than the first option

C. C^2 + D^2

By comparing this with the first option, we see there are two equal terms, but A. has one additional term 2CD that makes it greater than C.

D. C^2 - D^2

The expression can be written as

(C+D)(C-D)

Comparing with A.

(C+D)^2=(C+D)(C+D)

The subtracting factor (C-D) makes this product smaller than A which has two adding factors.

Thus A. is the largest expression

7 0
3 years ago
Using the functions f(x) = 5x - 12 and g(x) = 11x + 2 to complete the function operations listed below.
zhenek [66]

A) (f + g)(x) = f(x) + g(x) = (5x-12) + (11x+2) = 16x-10

B) (f × g)(x) = f(x)×g(x) = (5x-12)×(11x+2) = 5x(11x) -12(11x)+2(5x) -12(2) = 55x² -122x -24

C) f(g(x)) = 5(11x+2) -12 . . . . substitute g(x) for the x in f(x)

... = 55x +10 -12 = 55x -2

4 0
3 years ago
Seven tenths written is standard form is 70.is it true or false?
Jet001 [13]

Answer: It is 0.7

Step-by-step explanation: Seven tenths is the first digit on the right of the decimal. Hope this helped! If you need anymore help or further explanation I will be glad to help!

4 0
3 years ago
Find the base length of a shipping box in the shape of a triangular prism the shipping box has a volume of 276 cubic feet a base
Luba_88 [7]
The volume is given by:
 V = A * H
 Where,
 A: area of the base
 H: prism height
 Clearing the area we have:
 A = V / H
 A = 276/10
 A = 27.6 feet ^ 2
 The area of the base is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Clearing b we have:
 b = (2 * A) / (h)
 Substituting values:
 b = (2 * 27.6) / (6.9)
 b = 8 feet
 Answer:
 
the base length is:
 
b = 8 feet
5 0
3 years ago
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