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balu736 [363]
3 years ago
6

Determine all values of the constant A so that function of all values of x are continuous

Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function's value.

Step-by-step explanation:

Point/removable discontinuity is when the two-sided limit exists, but isn't equal to the function's value. hope this helps you :)

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For f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x) A. 2x^2-15 B.X^2+2x-6 C.2x^3-6 D.x^2+2x+8
Advocard [28]

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= 2x + 1 + x² - 7 ← collect like terms

= x² + 2x - 6 → C

5 0
3 years ago
Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inche
aleksandr82 [10.1K]
V:  volume of a cone = (πr²h)/3 = 104.67 in³
π:  pi = 3.14
r:  radius = 1/2 diameter = [unknown]
h:  height = 4 in

V = (πr²h)/3
V = r²(πh)/3

r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25

r = √25
r = 5  (but remember the radius is only 1/2 the diameter)

thus . . . 

<u><em>d = 10 in </em></u>
8 0
3 years ago
Read 2 more answers
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciat
Inga [223]
M represents the month because the value is decreasing every month.

Hope this helps :)
5 0
3 years ago
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On a scale drawing with a scale of 1/20, the height of the building is 8 inches. How tall is the actual building in feet?
Alecsey [184]
That means its downgraded to 1/20 of actual height, let actual height is x. Then 
(1/20) * x = 8, x = 20 * 8 = 160, actual height = 160 inch
160 inch = 160/12 feet = 13 1/3 feet or 13.333 feet.
3 0
3 years ago
Thanks in advance :)
scoundrel [369]
The answer is -4 because -4^7=-16384
3 0
3 years ago
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