Answer:
x = (13) ^ 1/3
x is approximately 2.351334688
Step-by-step explanation:
x^3 + 7 = 20
Subtract 7 from each side
x^3 + 7-7 = 20-7
x^3 = 13
Take the cube root of each side
x^3 ^ 1/3 = (13) ^ 1/3
x = (13) ^ 1/3
x is approximately 2.351334688
A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many nickels are there?
Nickel is a US coin worth 5 cents or 0.05.
Dime is a US coin worth 10 cents or 0.10
n + d = 53
0.05n + 0.10d = 4.40
n = 53 - d
0.05(53 - d) + 0.10d = 4.40
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35
n = 53 - d
n = 53 - 35
n = 18
There are 18 nickels and 35 dimes.
0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
0.90 + 3.5 = 4.40
4.40 = 4.40
Answer: The answer is 480
Step-by-step explanation: I got this because i divided 3600 by 7.5 and got 480 so im guessing the plane travels 480 miles in a hour.
Answer:
Graph A: y = (1/2)x - 2
Step-by-step explanation:
2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2
The slope of this line is 1/4 and the y-intercept is -2. This is represented by Graph A.
If we evaluate the function at infinity, we can immediately see that:

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.
We can solve this limit in two ways.
<h3>Way 1:</h3>
By comparison of infinities:
We first expand the binomial squared, so we get

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.
<h3>Way 2</h3>
Dividing numerator and denominator by the term of highest degree:



Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.