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Paul [167]
3 years ago
10

Convert 2x - 3y + 1 = 0 to slope-intercept form

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
Slope-intercept form is y=mx+b. our goal is to get y by itself on one side of the equation.

2x-3y+1=0
2x+1=3y
3y=2x+1
y=(2/3)x+1/3

That is the same function but in slope-intercept form.
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Worth 15 POINTS!<br><br> Create a story for the equation <br> y= -2x + 14
Ierofanga [76]

-2x+14 is the same as 14 - 2x

Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.

In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...

14 - 2x = 14 - 2*3 = 14 - 6 = 8

meaning buying 3 sodas cost you $6 and you have $8 left over.

If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14

note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.

3 0
3 years ago
1. COST Mr. Rivera wants to purchase a riding lawn
antiseptic1488 [7]

Answer:

p(x) = 0.85x

t(x) = 1.065x

(t o p)(x) = 0.9x

$2700

Step-by-step explanation:

If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

p(x) = x(1 - \frac{15}{100}) = 0.85x

where x is the marked price.

Now, the function that gives the total cost with sales tax will be given by

t(x) = x(1 + \frac{6.5}{100}) = 1.065x

where x is the discounted price.

Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by

(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)

where x is the marked price.

If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),

(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)

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4 years ago
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vekshin1
X intercept is when y=0
or f(x) = 0
set the f(x)'s to 0
your answer is C
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