Let's solve your equation step-by-step.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
(
3
)
(
3
x
)
+
(
3
)
(
−
4
)
=
(
−
2
)
(
1
)
+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
−
2
+
12
x
=
10
F(x) =16ˣ and g(x) = 16⁽ˣ/₂⁾
Since 16 = 2⁴, then we can write:
f(x) =2⁽⁴ˣ⁾ and g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ
for x = 1 f(x) = 2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)
for x = 2 f(x) = 2⁸ = 256
for x = 2 g(x) = 2⁴ =16
(√256) = 16
for x = 3 f(x) = 2¹² = 4096
for x = 1 g(x) = 2⁶ = 64
(√4096 = 64)
We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
Answer:
Step-by-step explanation:
If I remember expanded form is putting all number in terms of being times 10 to a power. starting with the ones place it's x10^0 which of course is just 1, so you don't need to include the x10 at all.
now, moving one either way that 0 either get 1 added to it or subtracted. So in the 10s place it becomes x10^1 and the tenths place becomes x10^-1. Similarly the hundreds place and hundreths place will have x10^2 and x10^-2 respectively. So keep this pattern going to find each place of the number. Can you list out what places are displayed in 5.625?
I will get you started, but let me know if you don't quite get it.
5 + 6*10^-1 + ...
Can you figure out the rest?
From the division computed, it should be noted that the number of hours that the battery will be able to provide 7 amperes will be 50 hours.
The information given is about the division of numbers. It was stated that the battery is rated at 350 ampere-hours.
The number of hours that it will be able to provide 7 amperes will be:
= 350 / 7
= 50 hours.
Learn more about division on:
brainly.com/question/24834472
