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nikklg [1K]
3 years ago
14

Can you show me the steps for this equation and answerF(x)=(x-3)^2+2

Mathematics
2 answers:
Helga [31]3 years ago
8 0
Let's simplify step-by-step.
(
x
−
3
)
2
+
2
Distribute:
=
x
2
+
−
6
x
+
9
+
2
Combine Like Terms:
=
x
2
+
−
6
x
+
9
+
2
=
(
x
2
)
+
(
−
6
x
)
+
(
9
+
2
)
=
x
2
+
−
6
x
+
11
m_a_m_a [10]3 years ago
8 0
To solve f(x) = (x-3)^2 +2:
1. Apply the quadratic formula
2. Remeber to expand the equation
You will get x^2-6x+11, and after applying the formula, you will get imaginary numbers. I don't know if this problem is right, sorry.
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7 0
3 years ago
Prove that:<br><br>cos20°cos40°cos80°=1/8​
Naya [18.7K]

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= \frac{1}{2sin20} (2sin20°cos20°)cos40°cos80°

= \frac{1}{4sin20} (2sin40°cos40°)cos80°

= \frac{1}{4sin20} (sin80°cos80° )

= \frac{1}{8sin20} (2sin80°cos80° )

= \frac{1}{8sin20} . sin160°

= \frac{1}{8sin20} . sin(180 - 20)°

= \frac{1}{8sin20} . sin20°

= \frac{1}{8} = right side , thus proven

7 0
2 years ago
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damaskus [11]

Answer:

F=0.4t

Step-by-step explanation:

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y2=72 y1=64 x2=25 x1=5

72-64/25-5=8/20=0.4

6 0
3 years ago
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4 0
3 years ago
identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the
mrs_skeptik [129]

Given the function:

g(x)=cos4x

Let's find the amplitude and period of the function.

Apply the general cosine function:

f(x)=Acos(bx+c)+d

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

f(x)=cosx

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.

8 0
1 year ago
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