The domain of the function is [-4,∞).
Domain is the set of all the possible inputs for which the function is defined.
The given function is:
y = √x+4
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
x+4≥0
Subtract 4 from both the sides.
x+4-4 ≥ 0-4
x ≥ 4
The domain of the function is:
Domain = {xIx ≥ -4} = [-4,∞)
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A quotient of a number 21 is 3 and 63
Hope this helps!
1). To multiply with like bases, add the exponents ===> 5² x 5⁵ = 5⁷
2). Same rule. e² x e⁷ = e⁹
3). Same rule, but make sure to start with like bases.
2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶
4). Same rule, but make sure to start with like bases.
4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸
5). To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶
6). Same rule. v¹⁴ / v⁶ = v⁸
7). Same rule, but make sure to start with like bases.
15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵
8). Same rule, but make sure to start with like bases.
10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷
9). Same rules. Add exponents to multiply, subtract them to divide.
( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²
10). (4¹⁵) x (-5)⁶ / (4¹² x (-5)⁴ ) = (4¹⁵/4¹²) x [ (-5)⁶/(-5)⁴ ] = 4³ x (-5)² = 4³ x 5²
11). (6⁷ x 7⁶ x 8⁵) / (6⁵ x 7⁵ x 8⁴) = (6⁷ / 6⁵) x (7⁶ / 7⁵) x (8⁵ / 8⁴)
You can finish it from here, you Crazy Unicorn you.
12). [ (-3)⁶ x 10⁵ ] / [ (-3)⁴ x 10³ ] = [ (-3)⁶ / (-3)⁴ ] x (10⁵/10³)
The last step is yours. Take it !
3 nickles plus 8 pennies
(3x5)+(8x1) = 15 + 8 = 23
= 23¢
