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3 years ago

Given the function y=log3(x+2)-2. List the transformations

Mathematics

1 answer:

slava [35]3 years ago

4 0

Answer:

Exponential transformation.

Step-by-step explanation:

y = log_3 (x + 3) - 2

To transform this into exponential, we have:

Adding 2 to both sides

y + 2 = log_3 (x + 3)

3^(y + 2) = x + 3

x = 3^(y + 2) - 3

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Using distributive property what is 3(5 +6) =

Annette [7]

Answer:

3(5 +6) = 33

Step-by-step explanation:

3(5+6)

so first you multiply 3 by 5

which is 15

then you multiply 3 by 6

which is 18

and that remains as 15+18

which in total equals 33

7 0

3 years ago

Read 2 more answers

Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

Unit 2 (12 points)

klio [65]

1+3=4

A counterexample is an a example that proves the statement false.

1+3 are not even numbers but they equal an even one, so it just proved the statement wrong.

3 0

3 years ago

Factor each linear expression.if expression can not be factored write cannot be factored. 36x-9

almond37 [142]

Answer:

9(4x - 1)

Step-by-step explanation:

The given linear expression is:

36x - 9

Since, 36 can be written as 9 times 4, we can rewrite the above expression as:

9(4x) - 9

Taking 9 as common, the expression changes to:

9 (4x - 1)

This linear expression can no linger be factorized further.

So,

36x - 9 = 9(4x - 1)

Brainliest for my virtuoso answer

7 0

3 years ago

What are the square roots of 100? Check all that apply.

Helga [31]

There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)

6 0

3 years ago

Read 2 more answers