Answer:
n = 59
Step-by-step explanation:
The given equation of n is 
and we have to solve it for n.
........... (1)
⇒ 
{Rationalizing the numerator}
⇒ 
.............. (2)
Now, adding (1) and (2) we get
⇒ n + 5 = 64 {Squaring both sides}
⇒ n = 59 (Answer)
<h3>(14, 20) is the ordered pair of the function f(x)</h3>
<em><u>Solution:</u></em>
Given that,
(20, 14) is an ordered pair of the inverse of f(x)
We have to find the ordered pair of the function f(x)
In an inverse funciton, the domain of f(x) becomes the range and range of f(x) becomes the domain
To find the ordered pair of the function f(x), we swap the variables x and y
(y, x) of inverse of f(x) becomes (x, y) of f(x)
Therefore, (14, 20) is the ordered pair of the function f(x)
Answer:
63 students.
Step-by-step explanation:
x students.
34 have science 28 have math 5 math and science 6 neither.
6 neither means there were at least 6 students so our number goes up to 6 students.
34 have science 28 have math 5 have both.
34-5 and 28-5
29 and 23
29+23 is 52 +5 is 57 +6 is 63.
63 students.
HOpe this helps!
Merry Christmas!
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
========================================
Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
--------
angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
--------
At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
--------
We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
Answer:
1,280
Step-by-step explanation:
