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3 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

A. f(x)= x/x+3

Step-by-step explanation:

a p e x

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AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0

lesya [120]

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = $\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}$

Scale factor = $\frac{DE}{AB}$

= $\frac{4}{2}$

= 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

3 0

3 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n

MaRussiya [10]

Answer:

$-6m^{6}+n^{6}+7mn^{5}+14m^{2}n^{4}-5m^{3}n^{3}$

Step-by-step explanation:

given polynomial is:

$8mn^{5}-2m^{6}+5m^{2}n^{4}-m^{3}n^{3}+n^{6}-4m^{6}+9m^{2}n^{4}- mn^{5}-4m^{3}n^{3}$

write similar terms together,

$-2m^{6}-4m^{6}+n^{6}+8mn^{5}-mn^{5}+5m^{2}n^{4}+9m^{2}n^{4}-m^{3}n^{3}-4m^{3}n^{3}$

$-6m^{6}+n^{6}+7mn^{5}+14m^{2}n^{4}-5m^{3}n^{3}$

Hence, polynomial in standard form $-6m^{6}+n^{6}+7mn^{5}+14m^{2}n^{4}-5m^{3}n^{3}$

8 0

3 years ago

A standard six-sided die is thrown. What is the probability that the number

natali 33 [55]

Answer:

2/6 or 1/3

Step-by-step explanation:

There are two numbers who are equal or less than 2 its 1 and 2

And the total is 6 so its 2/6 which is 1/3

Sorry if this is late

4 0

3 years ago

Clark used a digital thermometer to check the internal temperature of a roasting turkey. The thermometer read 168 °F, and its re

slamgirl [31]

Answer:

A and C falls within the range.

Step-by-step explanation:

Have a nice day!

5 0

3 years ago

Read 2 more answers

In the figure, PQ is parallel to RS. The length of RP is 5cm; the length of PT is 30cm; the length of QT is 60cm. What is the le

rjkz [21]

The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

Let us denote the unknown length SQ as x.

We could make the following similarity relation;

$\begin{gathered} \frac{30}{30+5}=\frac{60}{60+x} \\ \end{gathered}$

Cross multiply to obtain;

$\begin{gathered} 30(60+x)=60(35) \\ 1800+30x=2100 \\ \text{collect like terms} \\ 30x=2100-1800 \\ 30x=300 \\ \text{divide both sides by 30} \\ \frac{30x}{30}=\frac{300}{30} \end{gathered}$

Therefore;

$x=10\operatorname{cm}$

Therefore, the answer is option A

3 0

1 year ago