A recipe for making 12 cupcakes
1 answer:
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Answer:
Length: 6 m
Width: 4 m
Step-by-step explanation:
Area: 24
Width: 2L - 8 m
Length: ?
Formula: A = W * L
Replace the variables:
24 = (2L - 8) * L
24 = 2 - 8L
0 = 2 - 8L - 24
or
2 - 8L - 24 = 0
Solve; if you don't know how to solve it using this method, let me know. It's the expression
1.
2.
3.
4.
5. (L-6) (2L+4)
6. L-6 = 0 AND 2L+4 = 0
L - 6 =0
L = 6
---------------------------------
2L = -4
L =
L = -2
Since the length cannot be negative, the only real value is 6.
Area: 24
Width: 2L - 8 m
Length: 6 m
Calculate width:
W = 2L - 8
W = 2(6) - 8
W = 12 - 8
W = 4 m
Answer:
The range stays the same.
The domain stays the same.
Step-by-step explanation:
The function is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.
The domain for this kind of functions is: All real numbers.
And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.
Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.
Answer:
9. C
10. C
11. C
Step-by-step explanation:
9.
simply,
10.
the greatest divisor of 28 is 7, so:
28 + 7 = 35
11.
the greatest divisor of 15 is 5, so:
15 + 5 = 20
n = 20
the greatest divisor of 20 is 10, so:
20 + 10 = 30