The required exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x
<h3>Exponential functions</h3>
The standard exponential function is expresses as y = ab^x
Given the coordinate points (3,24) and (4,48), the equivalent equations are:
24 = ab^3 ......... 1
48 = ab^4
Take the ratios
48/24 = b^4/b^3
2 = b
Substitute b = 2 into equation 1
24 = a(2)^3
8a = 24
a = 3
Hence the required exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x
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Answer:
384 fl ounces of juice
Step-by-step explanation:
1 gallon=128 fluid ounce
3*128
=384
C. It’s because for example (-1,-1) and (1,1) are all real numbers but (-1,1) (1,1) has no real number
Answer:
15 and 25
Step-by-step explanation:
the interior angles of a triangle, when added, = 180...so if one angle equals 140, then the other 2 angles have to measure a combined total of 40.
the other 2 angles are in a ratio of 3:5....added = 8
so one angle is 3/8 of 40......3/8 * 40 = 120/8 = 15 <===
the other angle is 5/8 of 40....5/8 * 40 = 200/8 = 25 <==
Answer:
F = 40
Step-by-step explanation:
Given that F is directly proportional to a then the equation relating them is
F = ka ← k is the constant of variation
To find k use the condition F = 25 when a = 5, then
25 = 5k ( divide both sides by 5 )
5 = k
F = 5a ← equation of proportion
When a = 8, then
F = 5 × 8 = 40