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Lelechka [254]
3 years ago
7

Find the inverse of the function f(x) = (x - 4) 2 - 5 if x ≥ 4.

Mathematics
1 answer:
Serggg [28]3 years ago
6 0
Same here, we do a quick switcharoo on the variables first,

\bf \stackrel{f(x)}{y}=(x-4)^2-5\qquad inverse\implies \boxed{x}=\left( \boxed{y}-4 \right)^2-5
\\\\\\
x+5=(y-4)^2\implies \pm\sqrt{x+5}=y-4\implies \pm\sqrt{x+5}+4=y
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a map distance of 5 inches represents 200 miles of actual distance suppose the distance between two cities on the map is 7in wha
Lesechka [4]

5in : 200mi

7in : xmi

One inch represents 40 miles.

7 * 40 miles = 280 miles.


The two cities are 280 miles apart.

5 0
3 years ago
Read 2 more answers
Help please help me
BARSIC [14]

Step-by-step explanation:

if you're looking for x

x=180-42-51= 87°

and if you're looking for D

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7 0
3 years ago
A swimming pool holds 480,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe
sweet-ann [11.9K]
The answer is 96 min, here is why:

x / 240 + x / 160 = 1 
<span>2x + 3x = 480 </span>
<span>5x = 480 </span>
<span>x = 96 min

(</span><span>Drainage rate of first pipe = 480000/240 = 2000 l/min </span>
<span>Drainage rate of second tube = 480000/160 = 3000 l/min </span>
<span>Combined drainage rate = 5000 l/min </span>
<span>Time to drain = 480000/5000 = 96 min. )</span>
8 0
3 years ago
There were 35 children and 10 adults in a picnic. What is the ratio of children to the total number of people in the picnic?
Dovator [93]
Ans: 35:45 which is simplified to 7:9
5 0
2 years ago
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2 less then 3 times a number is 9
Masteriza [31]

\huge\boxed{\text{As an expression:}\ 3x-2=9}

\huge\boxed{\text{Solved for x:}\ x=\frac{11}{3}}

Let's start with "3 times a number". We will use x to represent the number. 3x

"2 less than" is next. -2

Finally, "is 9". =9

Put it all together to get an expression. \boxed{3x-2=9}

Now, let's solve for the unknown number.

Add 2 on both sides of the equation. 3x=11

Divide both sides of the equation by 3 to isolate x. x=\boxed{\frac{11}{3}}

5 0
3 years ago
Read 2 more answers
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