What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?

Mathematics

1 answer:

anzhelika [568]2 years ago

7 0

Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

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A taxi ride costs $3 plus $2.50 per mile. if sasha has 37 in cash,what is the greatest whole number of miles she can ride in thi

rusak2 [61]

Answer:

13 miles is the greatest whole number of miles she can go.

Step-by-step explanation:

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6 0

1 year ago

Given the following functions f(x) and g(x), solve f[g(10)]. F(x) = 10x 8 g(x) = x 9 2,052 98 190 198.

gladu [14]

For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.

put g(x) in place of x in the function f(x). Then we have

f [g(x)] = 10(x + 9) + 8

f [g(x)] = 10x + 90 + 8

f [g(x)] = 10x + 98

Put x = 10, then we have

f [g(10)] = 10(10) + 98

f [g(10)] = 100 + 98

f [g(10)] = 198

Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

More about the function link is given below.

brainly.com/question/5245372