Write an equation of a line that is parallel to y=5x+3 with a y intercept -2

y = 5x - 2

Step-by-step explanation:

This is coordinate geometry, and from the principle of parallelism, for two lines to be parallel to each other, m1 = m2.

Now from the quest above

y = 5x + 3 with the y intercept of the other line to be -2

From the equation if a straight line,

y = mx + c where m is the slope so gradient and c is the y intercept.

Since the two lines are parallel to each other , it means that m1 = m2

So m1 = 5 and m2 = 5, the equation of the second line will be

y = 5x - 2

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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