Answer:
The first one
Step-by-step explanation:
<u><em>Answer:</em></u>
The height of the stack = 
in
<u><em>Explanation:</em></u>
We are given that Jean stacks a dictionary on top of a novel.
This means that the total height of the stack will be equal to the height of the dictionary added to the height of the novel.
<u>From the givens, we have:</u>
height of dictionary = 
in
height of novel = 
in
<u>Now, adding the two height, we will have:</u>
Total height of stack = height of novel + height of dictionary
Total height of stack = 
in
Hope this helps :)
Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
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