5x = -123solve for x.
x = 24 3/5
x = -24 3/5
x = -118
x = -128

Answers

Answer 1

Answer:

$5x=-123\qquad\text{divide both sides by 5}\n\nx=(-123)/(5)\n\n\boxed{x=-24(3)/(5)}$

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Find the range of f(x) = 5 - |x - 4|.

Answers

Y is less than or equal to 5.

Final answer:

The range of the absolute value function f(x) = 5 - |x - 4| is (-∞ , 5] because the function will always be less than or equal to 5, but there's no lower limit as the function will decrease indefinitely as |x - 4| increases.

Explanation:

The function given is f(x) = 5 - |x - 4|, which represents an absolute value function. The range of a function refers to the possible values of f(x) or y in the function. In general, the absolute value function has a range of all non-negative numbers. However, because the function is subtracted from 5, the values of this particular function will decrease as x moves away from 4, in either direction.

Therefore, the maximum value of the function occurs when the absolute value equals to zero (i.e., x = 4), then f(x) = 5 - 0 = 5. As you move away from 4, the absolute value increases and thus subtracts more from 5, making f(x) smaller. So, f(x) will always be less than or equal to 5, but there is no lower limit, as the function will continue to decrease indefinitely as |x - 4| increases. Hence the range of the function f(x) = 5 - |x - 4| is (-∞ , 5].

Learn more about Range of Function here:

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Garrett is a member of a movie club. He pays a monthly service fee of $5.75 and $2.50 for each movie he rents. Which expression represents how much money he will spend for renting x amount of movies a month?

3.25x

5.75x + 2.50

2.50x + 5.75

9.25x

Answers

ANSWER: 2.50x + 5.75

REASON: x represents the number of movies and if each movie is 2.50, then 2.50x will tell u what u paid for the movies, but u cant forget the monthly service fee of 5.75. So lets say u rent 5 movies, 2.50(5) + 5.75 = 12.50 + 5.75 = 18.25, so u would have spend 18.75 for the month

Answer:

$\$2.50x+\$5.75$

Step-by-step explanation:

Let

x------> the amount of movies renting a month

we know that

The linear equation that represent how much money Garrett will spend for renting x amount of movies a month is equal to

$\$2.50x+\$5.75$

9³•9⁴ [?]
-------- • 9³ = 9
9²

Answers

9514 1404 393

Answer:

9⁸

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

$(9^3\cdot9^4)/(9^2)\cdot9^3=9^(3+4-2+3)=\boxed{9^8}$

Answer:

Step-by-step explanation:

How do you know 37? I don't understand, do you add another line connecting it to make a whole triangle or ..I don't understand..

Answers

Hello,
The 3th angle of the triangle is the supplement of 3x-8:
180-(3x-8)=180-3x+8=188-3x

The sum of all angles of the triangle is 180
180=2x+21+188-3x
==>180=-x+21+188
==>x=21+188-180
==>x=21+8
==>x=29

Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.equal to zero
less than 2
equal to 6
greater than 11