Oliver incorrectly states that the expression tan(3pi/4 + x) can be simplified as -1. Review Oliver’s work. Which statement explains why Oliver is incorrect?



Keyword gibberish:
The expression does not simplify not have a value if simplified to not equivalent to not
tan startfraction 3 pi over 4 endfraction + x

We want to see where Oliver is making a mistake in his claim.

The correct option is the first one, the simplification on the last step is wrong.

We start with the expression:

[tex]tan( \frac{3*pi}{4} + x)[/tex]

Now, by looking at Olvier's work, we can see that on the last step he writes:

[tex]\frac{-1 + tan(x)}{1 + tan(x)} = -1[/tex]

This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:

[tex]\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1[/tex]

Then the correct option is the first option.

If you want to learn more, you can read:

https://brainly.com/question/14324500

Plz help I need help

[tex]1 - \frac{1}{5} \times 2 + 0.5[/tex]
tolong jawab kalau bisa sama penjelasan nya​

Simplify the expression the square root of 4x^2/3y. Show your work.

which of the following is not a perfect tube 1, 9, 8,27​

I have more questions then this

In 1993, the moose population in a park was measured to be 4350. By 1999, the population was measured again to be 4890. If the population continues to change linearly: Find a formula for the moose population, P , in terms of t , the years since 1990.

Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x

For every five candy bars David sells, he earns $1. How many candy bars he sell to earn $15 please help​

You buy tomatoes sauce for 0.37per ounce. One portion of potatoes gnocchi requires 3.5 ounces of tomatoe sauce. How much does the sauce for one portion cost

Y=6x+13 x-intercept and y-intercept

Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A

please answer the question above​
it's (Septagon)

Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101

Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414

4. Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work. (5 points) Step Work Reasoning −8.3 + 9.2 − 4.4 + 3.7 Original problem 1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse 2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property 3 −8.3 + (4.4 + 9.2 + 3.7) Associative property 4 −8.3 + 17.3 Simplify 5 9 Simplify

Distance between the lines 3x +4y =9 and 6x + 8y =15 is

a number is ____ by another number if the quotient is a counting number and the remainder is 0.

Evaluate.
plz help
12⋅(14+13)2+23

Enter your answer as a mixed number in simplest form by filling in the boxes.

The perimeter of a rectangular garden is 332 m.
If the length of the garden is 93 m, what is its width?

Write the equation of the line parallel to y=6 that passes through the point (2, -3). Write your answer in slope-intercept form.

The increasing on the intervals
The decreasing on the intervals

Plz help I need help

Which of the following coordinate points have a y-value of 6? Select all that apply.

A) (3, 6)
B) (6, 5)
C) (8, 6)
D) (1, 6)

the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms

50!
4! 46!

How do I solve this? I learned it yesterday

troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.

29. Find the unit rate of Euros per dollar

30. how many Euros will he get for $125?

Guys please help this is making my brain hurt I will give brainliest btw

HELP

slope = 1; y-intercept =8

what is the solution to this inequality?
3n > 45.


A. n>15
B. n>42
C. n>48
D. n>135​

Which of the following algebraic expressions will translate “the sum of eight and twice w”?

A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.