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Oksanka [162]
3 years ago
13

For what values of the variables are the following expressions defined? 18/y

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

\dfrac{18}{y} , \forall y \in R, y\neq 0

Step-by-step explanation:

A function is undefined when its denominator is equal to zero.

Therefore, to determine where the function is defined, we find out for what values the function is undefined and remove it.

If y=0, the function is Undefined.

Therefore, the function \dfrac{18}{y}is defined for all values of y such that y \in R, y\neq 0

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A hot air balloon is descending at a rate of 287 feet per minute.
faust18 [17]

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

8 0
3 years ago
Add 6 and (-4)<br> Add (-8) and (-14)<br> Add (-12) and (+5)
mina [271]
6 + (-4) —> 6 - 4 = 2
(-8) + (-14) —> (-8 + (-14)) —> -(8+ 14) —> -(22) = -22
(-12) + 5 —> (-12 + 5) —> -(12-5) —> -(7) = -7
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Which is the MOST accurate definition of a clause?
Vilka [71]

Answer: it can be unit of grammatical organization below a sentence or after a sentence. Or it’s other meaning it can be a bill

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Triangle ABC is graphed on a coordinate grid with vertices at A (-2, -4), B (2, -4) and C (0, 2). Triangle ABC is dilated by a s
Papessa [141]

Answer:

The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

Step-by-step explanation:

Given the vertices of a triangle

  • A(-2, -4)
  • B(2, -4)
  • C(0, 2)

After the dilation, the vertices of an image triangle be

  • A' (-1, -2)
  • B '(1, -2)
  • C' (0, 1)

If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.

i.e. (x, y) → (1/2x, 1/2y)

verification

A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)

B(2, -4) → B'(2/2, -4/2) = B'(1, -2)

C(0, 2) → C'(0/2, 2/2) = C'(0, 1)

Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

  • (x, y) → (1/2x, 1/2y)
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