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dalvyx [7]
3 years ago
7

What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below? logarithmic gr

aph passing through point negative 1, negative 2.
f(x + 2) + 2
f(x + 2) − 2
f(x + 2) + 5
f(x − 2) − 5

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
F(x+2)-2 is the correct answer. I got it right on my test. Just make sure the point passing through is -1,-2 or you will miss this question. Hope I help you all.
-BARSIC- [3]3 years ago
7 0

Answer:

B. f(x + 2) − 2

Step-by-step explanation:

We are given the function f(x)=\log_{5}x.

Now, f(x) is transformed to obtain a function passing through the point (-1,-2).

So, we get that,

Translating the logarithm function by 2 units to the left and then 2 units downwards.

We get the function f(x)=\log_{5}(x+2)-2.

So, on substituting the value x= -1, we get,

f(-1)=\log_{5}(-1+2)-2

i.e. f(-1)=\log_{5}(1)-2

i.e. f(-1)=-2

<em>Thus, the function f(x)=\log_{5}(x+2)-2 passes through the given point as shown below.</em>

So, the required transformation is f(x + 2) − 2.

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After a birthday only 1/4 cake ramains what fraction is equivalent 1/4
victus00 [196]

Answer:

2/8, 3/12, 4/24, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, etc.

Step-by-step explanation:

3 0
3 years ago
In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, &amp; KM = 3x + 23, find x &amp; the measure of each angle.
Dennis_Churaev [7]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

 KM ≅ LM

3x + 23 = 7x - 37

       23 = 4x - 37

       60 = 4x

        15 = x

KM = LM = 3x + 23

               = 3(15) + 23

               = 45 + 23

               = 68

KL = 9x - 40

    = 9(15) - 40

    = 135 - 40

    = 95

Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
  • Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse

Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

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3 years ago
Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride. Which inequality r
geniusboy [140]

Answer:

10 \leq h\leq 50

Step-by-step explanation:

Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride

Number line represents the height above the ground at any time during the ride.

the shaded part of the graph lies between 10 and 50, also we have solid dot at 10 and 50.

So height of the inequality is

10 \leq h\leq 50

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The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4

<h3>Definition of standard deviation</h3>

Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.

It is calculated as the square root of the given variance.

Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.

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Answer:

THE ANSWER IS D

Step-by-step explanation:

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