Answer:
100*24 = 2400
Step-by-step explanation:
when doing simple multiplication problems like this, you have an equal number of zeros before and after the equals sign. so you can break it down to 1*24 which is just 24, and then adjust it to 2400 since it was 100 and not just 1.
Step-by-step explanation:
The value of X is given so put the value of X in 1/4 (2)^x
Answer:
Option A. y = 4x
Step-by-step explanation:
From the question given above, the following data were obtained:
X >> Y
3 >> 12
4 >> 16
5 >> 20
6 >> 24
7 >> 28
Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:
For Option A:
1. y = 4x
x = 3
y = 4 × 3
y = 12
2. y = 4x
x = 4
y = 4 × 4
y = 16
For Option B:
1. y = 4x + 12
x = 3
y = 4(3) + 12
y = 12 + 12
y = 24
2. y = 4x + 12
x = 4
y = 4(4) + 12
y = 16 + 12
y = 28
For Option C:
1. y = ¼ x
x = 3
y = ¼ × 3
y = ¾
2. y = ¼ x
x = 4
y = ¼ × 4
y = 1
For Option D:
1. y = ¼x + 12
x = 3
y = ¼(3) + 12
y = ¾ + 12
y = 51/4
2. y = ¼x + 12
x = 4
y = ¼(4) + 12
y = 1 + 12
y = 13
From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.
Let x represent the domain
Let y represent the range.
Assume that y =a*b⁻ˣ
Set x=0:
a*b⁰ = 32
a = 32
Set x=1:
32*b⁻¹ = 24
32 = 24b
b = 32/24
Set x=2:
d = 32*(32/24)⁻²
= 32*(24/32)²
= (32*24*24)/(32*32) = 24²/32 = 576/32
= 18
Answer: 18