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3 years ago

(x^(2)-4x+3)(-3x^(2)+7x-1) Multiply Express your answer in simplest form.

Mathematics

1 answer:

iren [92.7K]3 years ago

7 0

The answer is 42^3 from your question

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For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?

frutty [35]

Answer:

sin trigonometry ratio

Step-by-step explanation:

Given

See attachment for triangles

Required

Explain why $\frac{a}{8} = \frac{x}{12}$

From the attached diagram, both triangles are similar triangles because

(1) the second triangle is a dilation of the first triangle by a ratio of 1.5

i.e

$k = \frac{12}{8}$

$k = 1.5$

(2) They have angle 30 degrees, and have their right angles located at the same point

In the first triangle, the sine of 30 degrees is represented as:

$sin(30) = \frac{Opp}{Hyp}$

This gives:

$sin(30) = \frac{a}{8}$

In the second triangle:

$sin(30) = \frac{Opp}{Hyp}$

So:

$sin(30) = \frac{x}{12}$

By comparison:

$sin(30) = sin(3)$

Hence:

$\frac{a}{8} = \frac{x}{12}$

8 0

2 years ago

Simplify the following rational expression.

AlekseyPX

Step-by-step explanation:

$\frac{6 {x}^{3} }{15 {x}^{4} - 60x ^{3} } \\ \\ = \frac{6 {x}^{3} }{3 {x}^{3} (5 {x}- 20 )} \\ \\ = \frac{2 }{5 ({x}- 4 )}, \: \: x \neq \: 4\\ \\$

x = 4 makes the expression undefined.

Because at x = 4 denominator becomes zero, which makes the expression undefined.

7 0

2 years ago

What is the domain of the following points? Group of answer choices {-4, 1, 4} {-4, -1, 1, 4} {-1, 4, 1} {1, 4}

TiliK225 [7]

The domain of the relation shown in the graph is -4 <= x <= 4

<h3>How to determine the domain of the relation shown in the graph?</h3>

The complete question is added as an attachment

The relation on the graph is an ellipse function.

The domain is the set of x values the function can take

From the graph, we have the following x values

Minimum x value = -4
Maximum x value = 4

This means that the domain of x in the graph is -4 <= x <= 4

Hence, the domain of the relation shown in the graph is -4 <= x <= 4