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faltersainse [42]
3 years ago
15

For the function f defined by f(x)=5x−12 find f(−x),−f(x), and −f(−x).

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0
f(x) = 5x-12

f(-x) = 5(-x)-12 = -5x-12

-f(x) = -(5x-12) = -5x+12

-f(-x) = -(5(-x)-12) = -(-5x-12) = 5x+12

This is probably asking you to consider the symmetry of f(x). If f(x) is equal to f(-x), then f is symmetric about the origin. If f(x) is equal to -f(x), then f is symmetric about the y-axis.
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1)
MrRissso [65]

Answer:

Step-by-step explanation:

The diagram of the triangles are shown in the attached photo.

1) Looking at ∆AOL, to determine AL, we would apply the sine rule

a/SinA = b/SinB = c/SinC

21/Sin25 = AL/Sin 105

21Sin105 = ALSin25

21 × 0.9659 = 0.4226AL

AL = 20.2839/0.4226

AL = 50

Looking at ∆KAL,

AL/Sin55 = KL/Sin100

50/0.8192 = KL/0.9848

50 × 0.9848 = KL × 0.8192

KL = 49.24/0.8192

KL = 60

AK/Sin25 = AL/Sin 55

AKSin55 = ALSin25

AK × 0.8192 = 0.4226 × 50

AK = 21.13/0.8192

AK = 25.8

2) looking at ∆AOC,

Sin 18 = AD/AC = 18/AC

AC = 18/Sin18 = 18/0.3090

AC = 58.25

Sin 85 = AD/AB = 18/AB

AB = 18/Sin85 = 18/0.9962

AB = 18.1

To determine BC, we would apply Sine rule.

BC/Sin77 = 58.25/Sin85

BCSin85 = 58.25Sin77

BC = 58.25Sin77/Sin85

BC = 58.25 × 0.9744/0.9962

BC = 56.98

7 0
4 years ago
Tell whether the given value is a solution of the inequality.<br> 15n &gt; -3; n = -2
Vanyuwa [196]

Answer: no

Step-by-step explanation:

8 0
3 years ago
The set of all real numbers x that satisfies -3 &lt; x&lt;14 is given by the following interval notation: [-3,14)
Burka [1]

Answer:

Step-by-step explanation:

The set of all integer numbers

6 0
3 years ago
Read 2 more answers
7
trasher [3.6K]

Answer:

we have to use the formula of simple interest, which is

I = P r t

Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .

In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .

Substituting the values in the formula, we will get

4840=0.11*11*P4840=0.11∗11∗P

4840=1.21 P4840=1.21P

P=4000

So she invested $4000

5 0
2 years ago
Read 2 more answers
If the function f(x) = x^2 has the domain of 0,1,4,9 what is its range?
zavuch27 [327]

The range for this function are 0,2,16,81

respectively

4 0
3 years ago
Read 2 more answers
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