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dusya [7]
3 years ago
10

Using wildcard metacharacters, how can one indicate a number is either 1, 2, 3, or 4?

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0
Using the current "regular expressions" in use in Java, Perl, and many other applications, this belongs to "character class" using the [ ] notation.
For characters "either" 1,2,3,4, we write
[1234]
or in this particular case,
[1-4]
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Plot the x- and y- intercepts of the function.
olya-2409 [2.1K]

Answer:

y intercept = -2

x intercepts = -2,-1,1

Step-by-step explanation:

f(x) = x^3 + 2x^2 -x-2

Set this equation equal to zero to find the x intercepts.

Factoring by grouping

0 =x^3 -x   +2x^2 -2

   = x( x^2-1) +2(x^2-1)

Factoring out the (x^2-1)

0= (x^2-1) (x+2)

Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)

0 = (x-1) (x+1) (x+2)

Using the zero product property

x-1 = 0  x+1  = 0  x+2 =0

x=1,  x=-1   x=-2

The x intercepts are -2, -1, 1


To find the y intercepts, set x=0

y = x^3 + 2x^2 -x-2

y = 0 -2

y = -2


4 0
3 years ago
Lori makes 64,000 each year as a accountant at Christmas she was given a 12% bonus how much was her bonus
algol [13]

64000 x 0.12 = 7680

 she was given a $7,680 bonus

7 0
3 years ago
Read 2 more answers
In which quadrant does point W(-3,-9) lie
Marat540 [252]

Answer:

<h2>D. Quadrant III</h2>

Step-by-step explanation:

Quadrant in coordinate geometry is divided into four parts which is called Quadrants.

Quadrants I (x, y)

Quadrants II (-x, y)

Quadrants III (-x, -y)

Quadrants IV (x, -y)

so W(-3, -9) both are negatives so its lie on Quadrants III

6 0
4 years ago
If the function f(x)=mx+b has an inverse function, which statement must be true
skelet666 [1.2K]
Im pretty sure its
m=/0 because when m is 0 then f(x) does not depend on the value of x.
Hope this helped!
7 0
3 years ago
Read 2 more answers
Find the diagonal (d) of the base
bazaltina [42]

Answer:

4\sqrt{5}\ un.

Step-by-step explanation:

The picture shows rectangular prism with rectangular base and heigth h. The dimenssions of base rectangle are l and w.

The diagonal of reactangle with known length l and width w can be calculated using the Pythagorean theorem:

d^2=l^2+w^2,\\ \\d^2=8^2+4^2,\\ \\d^2=64+16,\\ \\d^2=80,\\ \\d=4\sqrt{5}\ un.  

3 0
4 years ago
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