Answer:
z=30
Step-by-step explanation:
That's the answer and how you do it.
(i love to eat)
Answer:
x = -8 & at x = 3
Step-by-step explanation:
This is a rational function.
We can get the values of x at which vertical asymptotes occur by setting the denominator equal to 0 and solving for x.
Let's do this:

Hence, vertical asymptotes occur at x = -8 & at x = 3
The number of integer values of n for which the value 4000 × (0.4)ⁿ is an integer is; 9
<h3>How to find the integer values in algebra?</h3>
We are given the expression;
4000 × (0.4)ⁿ
This can also be expressed as;
4000 × (²/₅)ⁿ which can further be expressed in exponent form as;
(2⁵ × 5³) × (²/₅)ⁿ = 2⁽⁵ ⁺ ⁿ⁾ × 5⁽³ ⁻ ⁿ⁾
Since this expression is an integer, we need:
1) 5 + n ≥ 0 for which n ≥ -5
2) 3 - n ≥ 0 for which n ≤ 3
Taking the intersection gives;
-5 ≤ n ≤ 3
Thus;
Number of Integer Values = 3 - (-5) + 1 = 9
Read more about Integer Values at; brainly.com/question/17695139
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3 hours and 15 minutes equals to 3,25 hours. Distance equals the product of the time by the speed which is 3,25x68=221.
A car traveling at 68 miles per hour travels 221 miles in three hours and 15 minutes.