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lora16 [44]
2 years ago
5

A lawyer charges a $75 consultation fee and then $120 per hour thereafter.

Mathematics
1 answer:
Ainat [17]2 years ago
3 0

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.

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If 3x-y=123x−x=123, x, minus, y, equals, 12, what is the value of \frac{8^x}{2^y} 2 y 8 x ​ start fraction, 8, start superscript
nlexa [21]

Answer:

\frac{8^x}{2^y} = 4096

Step-by-step explanation:

Rules:

  1. \frac{a^m}{a^n}=a^{m-n}
  2. a^m\times a^n= a^{m+n}
  3. (a^m)^n=a^{m\times n}

Given that,

3x-y =12

Therefore

\frac{8^x}{2^y}

=\frac{(2^3)^x}{2^y}  [ since 8=2^3 ]

=\frac{2^{3x}}{2^y}   [ applying 3rd rule]

=2^{3x-y} [ applying 2nd rule]

=2^{12}   [ since 3x-y =12]

=4096

3 0
3 years ago
Write an equation for a line that is parallel to the graph of y = -3x + 6 and passes through the point at (-4, 7)
ale4655 [162]
Y = -3x + 6....the slope here is -3. A parallel line will have the same slope.

y = mx + b
slope(m) = -3
(-4,7)....x = -4 and y = 7
now we sub into the formula and find b, the y int
7 = -3(-4) + b
7 = 12 + b
7 - 12 = b
-5 = b
so ur parallel equation is : y = -3x - 5 <==
4 0
3 years ago
7m + 3mn<br> when m = 3 and n = -4
nadya68 [22]

Answer:

-15

Step-by-step explanation:

When m=3 and n=-4

So, put the values

7(3)+3(3)(-4)

-> -15

4 0
3 years ago
Read 2 more answers
If x = -2, what does -x mean
pickupchik [31]

Answer:

<h2><em><u>-x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>

Step-by-step explanation:

<em><u>If</u></em><em><u>,</u></em>

x = -2

<em><u>Then</u></em><em><u>,</u></em>

-x = -(-2)

=> <em><u>-x = 2 (Ans)</u></em>

6 0
3 years ago
a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line
coldgirl [10]

Answer:

y-1=-2/3(x+9)

Step-by-step explanation:

y-1=-2/3(x-(-9))

y-1=-2/3(x+9)

7 0
3 years ago
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