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2 years ago

Write the equation for g (x)

Mathematics

1 answer:

Valentin [98]2 years ago

7 0

The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

<h3>Equation of a line</h3>

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

where:

m is the slope
(x1, y1) is the point on the slope

If the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.

Determine the required equation of a line

y - y1 = m(x-x1)

y - 8 = 25(x-3)

Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

Learn more on equation of a line here: brainly.com/question/13763238

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nydimaria [60]

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2 years ago

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Solve for x Write both solutions, seperated by a comma 4x^2+5x+1=0

stiv31 [10]

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

$4x^2+5x+1=0\\Write +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\\4x^{2} +4x+1x+1=0\\Factorize-out-common-terms\\4x(x+1)+1(x+1)=0\\Factor-out-(x+1)\\(4x+1)(x+1)=0\\4x+1 =0 \\x+1=0\\4x=0-1\\x =0-1\\4x =-1\\x =-1\\4x=-\frac{1}{4} \\\\Answer = -1/4 , -1$

Quadratic Equation

$4x^2+5x+1=0\\a = 4\\b =5\\c = 1\\\\x =\frac{-b\±\sqrt{b^2 -4ac} }{2a} \\\\x = \frac{-(5)\±\sqrt{(5)^2-4(4)(1)} }{2(4)} \\\\x = \frac{-5\±\sqrt{25-16} }{8} \\\\x = \frac{-5\±\sqrt{9} }{8} \\\\x = \frac{-5\±3}{8} \\\\x =\frac{-5+3}{8} \\\\x = \frac{-5-3}{8} \\\\x = \frac{-2}{8} \\\\x = \frac{-8}{8} \\\\x = -\frac{1}{4} \\x=-1$

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3 years ago

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QveST [7]

Answer:

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Step-by-step explanation:

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3 years ago

What is the solution to the system of equations? Y=-3-2. 5x+2y=15

ivolga24 [154]

Answer:

x=-19

y=55

Step-by-step explanation:

y=-3x-2.

5x+2y=15

substitute y into 5x+2y =15

5x +2 (-3x-2) = 15

distribute

5x -6x-4 = 15

combine like terms

-x-4 =15

add 4 to each side

-x-4+4 = 15+4

-x=19

multiply by -1

x = -19

now lets find y

y= -3x-2

y = -3(-19) -2

y = 57-2

y =55

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3 years ago

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insens350 [35]

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3 years ago