"2x-4=3^-x + 1
A. x ≈ 2.5
B. x ≈ 3.25
C. x ≈ 1
D. x ≈ 2
Answer:
here's an example related
Step-by-step explanation:
Let's call f(x) = 2x - 4 and g(x) = 3⁻ˣ + 1.
First, you need to evaluate each function at the given values of x.
f(1) = 2(1) - 4 = -2
f(3.25) = 2(3.25) - 4 = 2.50
f(2.5) = 2(2.5) - 4 = 1
f(2) = 2(2) - 4 = 0
Similarly:
g(1) = 3⁻¹ + 1 = 1.33
g(3.25) = 3⁻³'²⁵ + 1 = 1.03
g(2.5) = 3⁻²'⁵ + 1 = 1.06
g(2) = 3⁻² + 1 = 1.11
Now, look for the value of x for which f(x) ≈ g(x): this happens for x = 2.5
Therefore the correct answer is c) x ≈ 2.5
Answer: The values is 2.5 miles converted to 158,400 inches
Step-by-step explanation:
Convert 2.5 miles to inches
Convert inches to feet :
5280 feet is equivalent to 1 mile
x = 2.5 miles
x = 5280 x 2.5
x = 13200 feet
Then convert 13,200 feet to inches
Because 12 inches is equivalent to 1 foot
x = 13200 feet
x = 12 x 13200
x = 158,400 inches
Therefore 2.5 miles converted to inches is 158,400 inches
Answer:
Step-by-step explanation:
Given
Solving for x
Answer:
10x^2y^6√y
Step-by-step explanation:
1. First, let's factor out any perfect squares from the expression under the square root. In this case, we can factor out 100, which is a perfect square:
√(100 * x^4 * y^13)
2. Taking the square root of 100 gives us 10:
10 * √(x^4 * y^13)
3. Now, let's simplify the expression under the square root. Remember that the square root of a product is equal to the product of the square roots:
10 * √(x^4) * √(y^13)
4. The square root of x^4 is x^2:
10 * x^2 * √(y^13)
5. Finally, let's simplify the square root of y^13. Since 13 is an odd number, we can write it as the product of a perfect square and an additional factor:
10 * x^2 * √(y^12 * y)
6. The square root of y^12 is y^6:
10 * x^2 * y^6 * √y
Therefore, the simplified expression for the square root of -100x^4y^13 is:
10x^2y^6√y
B. linear binomial
C. cubic binomial
D. quadratic monomial
The expression 3x + 7 can be matched with the name B. linear binomial.
To understand why this expression is classified as a linear binomial, let's break down the terms:
Linear: The expression is linear because it is a degree-one polynomial. The highest power of the variable 'x' is 1, and there are no other variables or exponents present.
Binomial: The expression is a binomial because it consists of two terms. In this case, the two terms are 3x (the first term) and 7 (the second term), connected by the plus sign.
A linear binomial represents a straight line when graphed on a coordinate plane, where the variable 'x' represents the horizontal axis, and the resulting expression represents the vertical axis. The term "binomial" indicates that there are two terms in the expression.
In conclusion, the expression 3x + 7 is a linear binomial because it is a degree-one polynomial with two terms: 3x and 7.
To know more about linear binomial:
#SPJ6
Your answer is B. linear binomial.