Answer:
A
Step-by-step explanation:
When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.
We begin by applying the natural logarithm to each side.
Log rules allow use to rearrange the exponent as multiplication in front of the log.
ln e as an inverse simplifies to 1.
We now apply the inverse operations for subtraction and multiplication.
Option A is correct.
X=7, y=6. that’s your answer!
(x-4)² + (x-2)² = x²
(x² - 8x + 16 ) + (x² - 4x + 4) = x
2x² -12x + 20 = x
2x²-12x + 20 - x = 0
2x² - 13x + 20 = 0
(2x-5) (x-4) = 0
2x-5 = 0
2x = 5
x = ⁵/₂
x-4 = 0
x = 4
so x₁ = ⁵/₂ , and x₂ = 4
You can use at most 24 beads that are 10 inches long to decorate the rope.
Step-by-step explanation:
Given,
Length of rope = 120 feet
1 foot = 12 inches
20 foot = 20*12 = 240 inches
Length of bead = 10 inches
Let,
x represents the number of beads used on rope.
As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.
Length of each bead*Number of beads ≤ length of rope
Dividing both sides by 10
You can use at most 24 beads that are 10 inches long to decorate the rope.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly
Well, if he shoots 15 shots in 5 minutes then that means he shoots 3 per minute.
3 x 12 = 36
In 12 minutes, he will have shot 36 shots.
