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KengaRu [80]
3 years ago
11

Write an equation of the line that passes through the points (0, 3) and (-5, 0).

Mathematics
2 answers:
Pie3 years ago
7 0

(0, 3) is the y-intercept as it passes through y = 3 at x = 0, or the y-axis.

Slope:

\frac{y1 - y0}{x1 - x0}  =  \frac{3 - 0}{0 - ( - 5)}  =  \frac{3}{5}

Equation of a straight line:

y = mx + c

m = slope (3/5)

c = y value of y-intercept (3)

Equation:

y =  \frac{3}{5} x + 3

Setler [38]3 years ago
5 0

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

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eimsori [14]

The correct option is b.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

<h2>Leading coefficient </h2>

The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.

Given options:

a.)  f(x) = -12x^2+3x+1 \\

b.)  f(x) = 3x^2+11x-12 \\

c.)  f(x) = 12x^2+3x+3\\

d.)  f(x) = 3x -12.

<h3 /><h3>Solution</h3>

As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,

3x²+bx+c,

Also, the value of the constant is -12, therefore, the value of c is -12,

3x²+bx-12

From all the given options the only feasible option is b only.

Hence, the correct option is b.

Learn more about Quadratic Equation:

brainly.com/question/2263981

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3 years ago
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8 0
4 years ago
If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)
Likurg_2 [28]

Hello from MrBillDoesMath!

Answer:

x + 9 and (x + ( i - 7)) are factors

Discussion:

If f(x) has roots -9 and 7-i then

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That is, x + 9 and (x + ( i - 7)) are factors of f(x)

BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is  also be a root.

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Umnica [9.8K]

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

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Solve:

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Find a:

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4 0
3 years ago
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