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3 years ago

Please help me with the questions in the image

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

A) the image on the lower left is correct. Because the equation is set up as “F=“, F goes on the y-axis. The y-intercept is positive 32.

B) the slope is 9/5 because the equation is in the form of y=mc+b, where m is the slope. F increases 9/5 degrees for each increase of 1 C. The F-intercept is 32 and it represents the temperature 32 F corresponding to 0 C.

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Use Cramer’s Rule to solve system of equation.

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$W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6$

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What is the range of the function f(x) = -|X - 4| + 5?

Law Incorporation [45]

Answer:

Range = (-∞, 5)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

The graph is shown in the attached picture.

Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the range is -infinity to 5

answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5

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