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Greeley [361]
3 years ago
9

What is the range of the function f(x) = |x| – 3? All real numbers b. All real numbers less than or equal to 3. C all real numbe

rs less than or equal to -3. D. All real numbers greater than or equal to -3
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0
D All real numbers greater than or equal to -3
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Find the roots of the equation x^2+2x+5=0
stiv31 [10]

Answer:

x = - 1 ± 2i

Step-by-step explanation:

we can use the discriminant b² - 4ac to determine the nature of the roots

• If b² - 4ac > , roots are real and distinct

• If b² - 4ac = 0, roots are real and equal

• If b² - ac < 0, roots are not real

for x² + 2x + 5 = 0

with a = 1, b = 2 and c = 5, then

b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16

since b² - 4ac < 0 there are 2 complex roots

using the quadratic formula to calculate the roots

x = ( - 2 ± \sqrt{-16} ) / 2

  = (- 2 ± 4i ) / 2 = - 1 ± 2i


7 0
3 years ago
A translation has this rule: (x - 5, y). What is the translation?
Neporo4naja [7]

Answer:

A

Step-by-step explanation:

For example (7-5,y)

7-5=2

————————-————-—————————-

 0.       2.         5.         7

           |        7-5           |

           |———————- |

     You would move to the right 5 units.

6 0
3 years ago
-7(n+2)=-14-7n how many solution does it have
Sergeeva-Olga [200]

Answer:

There is an infinite number of solutions.

Step-by-step explanation:

When you simplify the left side of the equation, you get -7n - 14, which is equal to the right side. If you were to plug in any number for n, it will equal the same on both sides of the equation.

6 0
3 years ago
Whats the slop for 11x=4y-5
Vedmedyk [2.9K]
4 or 4/1 would be the slope
8 0
2 years ago
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What is the arc length of CD in the circle below? The circle is shown with a radius of 8ft and a center angle of 35 degrees.
Radda [10]
B.4.88 is the answer
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2 years ago
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