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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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A circle has a diameter of 8 cm. An angle in the center of the circle creates an arc AB. That angle's measure is pi/4 rad. What
zhenek [66]

Answer:

3.14 cm

Step-by-step explanation:

From the question,

Applying

s = πdФ/360................... Equation 1

Where s = length of arc AB, d = diameter of the circle, Ф = angle at the center of the circle, π = pie

From the question,

Given: d = 8 cm, Ф = π/4 rad = 45°

Constant: π = 22/7

Substitute these values into equation 1

s = (22/7)(8)(45)/360

s = 3.14 cm.

Hence the lenght of arc AB = 3.14 cm

8 0
2 years ago
Use this formula to find all the solutions of the equation. (Round terms to four decimal places)
Misha Larkins [42]
I might be misreading something here but if:

x^5+243=0  subtract 243 from both sides

x^5=-243  raise both sides to the 1/5 power  (or take the fifth root of both sides)

x=-3

So there is only one solution, x=-3
3 0
3 years ago
A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long
damaskus [11]

Answer:

The answer to your question is 43 ft

Step-by-step explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

               sin Ф = Height / length

-Solve for height

                height = length x sin Ф

-Substitution

                height = 75 x sin 35

-Simplification

                height = 75 x 0.574

-Result

                 height = 43 ft

6 0
3 years ago
Darren’s taxable income is $27,481. He is filling as head of household, and he has already paid $3847 in federal taxes. What wil
Irina18 [472]
If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  
3 0
3 years ago
Read 2 more answers
If (8^9)p = 8^16 what's the value of p?
monitta

Answer:

p  = {8}^{7}

Step-by-step explanation:

(8^9)p = 8^{16 } \\  \\ p =  \frac{8^{16 } }{8^{9 } }  \\  \\  p =  {8}^{16 - 9}  \\  \\  \huge \red{ \boxed{p  = {8}^{7} }}

8 0
2 years ago
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