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nadya68 [22]
3 years ago
9

A computer technician charges a flat rate for home vist plus $55 per hour. The technician bills $190 for a 2-hour home vist to i

nstall a new hard drive. The equation y-190=55(x-2) gives the total amount y the technician charges for x hour of work. What is the equation in slope-intercept form?
Mathematics
2 answers:
djyliett [7]3 years ago
4 0
Y - 190 = 55(x - 2)....distribute thru the parenthesis
y - 190 = 55x - 110....now add 190 to both sides
y = 55x - 110 + 190..simplify
y = 55x + 80 <== slope intercept form (y = mx + b)
Masteriza [31]3 years ago
3 0

Answer:

<em>The equation in slope-intercept form will be:  y=55x+80</em>

Step-by-step explanation:

The given equation is:   y-190=55(x-2)

The standard slope-intercept form is  y=mx+b

Simplifying the given equation..........

y-190=55(x-2)\\ \\ y-190=55x-110\ \ \ [using\ distributive\ property\ in\ right\ side]\\ \\ y-190+190=55x-110+190 \ \ \ [adding\ 190\ both\ sides]\\ \\ y=55x+80\ \ \ [combining\ like\ terms]

<em>This equation is in form of y=mx+b</em>

So, the equation in slope-intercept form will be:  y=55x+80

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(5x +252 +X+5) + (x+4)
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Answer: 7x + 261

Step-by-step explanation:

(5x + 252 + x + 5) + (x + 4)

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7x + 261 (combine like terms)

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The answer is y=1/2x + 7. 

The plot is (-2,2), so what it actually is, is (x,y) so you always have the same slope when lines are parallel. So you just need to solve for the y-intercept. so you substitute -2 in for x and you get the y-intercept! Hope this helps!
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mafiozo [28]

The equation is y = 16/25 x

lets find the proportional relationship,

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k = (2/5) /  (5/8)

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so if k, constant is 16/25

equation is:

y = 16/25 x

<h3>What are proportional relationships?</h3>

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

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The equation that represents a proportional relationship, or a line, is y = k x , where is the constant of proportionality. Use k = y x from either a table or a graph to find k and create the equation.

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Simplify the leading term as

\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}

Quotient rule:

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Put everything together and simplify:

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Answer:

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easy

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