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iogann1982 [59]
3 years ago
11

What is the inverse of this function

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0
F(n) = n + 3
f(n) = -(n + 3)
f(n)= n -3
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Find four consecutive even integers such that the sum of the second and fourth and integer is one half times the sum of the firs
Artyom0805 [142]
Okay lets create an eqn from that information

A first int, B second int, C third int, D fourth int.

B = A + 2
C = A + 4
D = A + 6
A is the smallest integer

B + D = 0.5 (A + C) 

Now lets substitute

(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist

2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6

B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0

Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4

Correct 
Therefore, First integer is -6, second integer is -4, third integer is -2 and fourth integer is 0
8 0
4 years ago
A certain television is advertised as a 59-inch TV (the diagonal length). If the width of
ArbitrLikvidat [17]

Answer:

32.9 inches

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base = 49

c =  hypotenuse = diagonal = 59

l² + 49² = 59²

l² = 59² - 49²

3481 - 2401 = 1080

find the square root

32.9 in

3 0
3 years ago
You lease a car at $395 per month for 3 years. Estimate the total cost of the lease by rounding the monthly payment to the neare
Inga [223]
The lease will cost $14,220 for 36 months at $395 a month
6 0
4 years ago
Read 2 more answers
Find an equation for the nth term of the arithmetic sequence. -13, -8, -3, 2, ...
Nikitich [7]
Https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.798537.html
3 0
3 years ago
Read 2 more answers
1. Homer has an idea for a new donut shop. He wants to design the donut shop so that the rectangular
Tju [1.3M]

Solving a <em>system of equations</em>, it is found that since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

The perimeter of a <u>rectangle of length l and width w</u> is given by:

P = 2(l + w)

The area is:

A = lw

In this problem, perimeter of 63.5 m, hence:

2l + 2w = 63.5

2l = 63.5 - 2w

l = 31.75 - w

Area of 225 m², hence:

lw = 225

(31.75 - w)(w) = 225

w^2 - 31.75w + 225 = 0

Which is a quadratic equation with coefficients a = 1, b = -31.75, c = 225.

Then:

\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625

w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1

w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68

Since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

A similar problem is given at brainly.com/question/10489198

6 0
3 years ago
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