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LenaWriter [7]
3 years ago
7

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that appl

y.
g(x) = x2 – 4x – 21
g(x) = (x – 3)(x + 7)
g(x) = 3x2 – 12x – 63
g(x) = –(x + 3)(x – 7)
g(x) = x2 + 4x – 21
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0

Answer:

g(x) = -(x+3)(x-7)   and   g\left(x\right)\:=\:3x^2-12x-63    

are the correct answers.

Step-by-step explanation:

dem82 [27]3 years ago
4 0
1,3,and 4 because for 1 and 3 if you factor it out you can get (x+3)(x-7) which if you solve it it creates them to be -3 and 7. The 4 one is already factored you just solve it and it also becomes -3 and 7. The - outside the parentheses is nothing.
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Answer:

Question 1: Are the footprints of the two sheds similar?

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Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

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Question 3: Find the scale factor from the most expensive shed to the least expensive shed

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Explanation:

Question 1: Are the footprints of the two sheds similar?

The<em> footprints</em> of the two sheds will be <em>similar</em> if their measures are proportional.

The ratio of the measures of the<em> footprint of the most expensive shed</em> is:

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The ratio of the measures of the <em>footprint of the least expensive shed</em> is:

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Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A <em>reduction</em> is a similar transformation (the image and the preimage are similar)  that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the <em>scale factor from the most expensive shed to the least expensive shed</em>, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

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Using the lenghts, you should obtain the same scale factor:

  • length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

  • 21 feet / 14 feet = 3/2. Such as expected.
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