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maria [59]
3 years ago
14

Andrea is selling candles as a fundraiser. she spent $50 on supplies for making the candles. she plans to sell the candles for $

10 each. her profit can be modeled by c(x)=10x-50. what is the domain and range of the function
Mathematics
1 answer:
Luda [366]3 years ago
8 0
In order for Andrea to make profit, the value of the C in the given function must not be 0 or less than zero. So, let's find the value of x when C is zero.

C = 0 = 10x - 50
x = 5

Hence, the number of candles sold represented by x must be more than 5 (< 5). Therefore, the domain is (5,+∞). When the value of x is more than 5, the C or the range would be greater than 0. Thus, the range is (0,+∞).
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Answer:

The first choice.

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lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

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Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

<em>From a similar question, we have, ;</em>

<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>

<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>

<em>The options are; </em>

<em>(A) Reflection over the x-axis and 2 units translation down</em>

<em>(B) Reflection over the y-axis and 2 units translation down</em>

<em>(C) 90° rotation after a translation of 2 units down</em>

<em>(D) 90° rotation after a translation of 12units right</em>

Solution;

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The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

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Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

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