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padilas [110]
3 years ago
15

Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve 5x^{2} + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

5x^{2} + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± \sqrt{b^2 - 4 (ac)}/ 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2±\sqrt{2^2 - 4(5 - 1)}/ 2 ⋅ 5

Simplify.

x = -2 ± 2 \sqrt{6}/ 10

x = -1 ± \sqrt{6}/ 5

Exact Form:

x = -1 ± \sqrt{6}/ 5

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What is the slope of a line that is perpendicular to the line whose equation is 0.52 - 5y = 9?
otez555 [7]
The slope is 0.1
To find a perpendicular slope, find the negative reciprocal.
The reciprocal of 0.1 is 10
The negative of 10 is -10
Final answer:-10
7 0
3 years ago
F(3)= 5x^2 - 4x + 9<br> evaluate this quadratic function
Neporo4naja [7]

Answer:

f(3) = 38

Step-by-step explanation:

Given the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

Evaluating the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

substitute x = 3

f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9

f(3) = 45-16+9

f(3) = 38

Therefore,

  • f(3) = 38
6 0
2 years ago
Find m (2x+14)<br> (X+7)
LekaFEV [45]

Answer:

=

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, assuming m of angle ABD is 90 degrees, then you would add and then solve.

2x+14+x+7=90

3x+21=90

3x=69

=

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

, !

4 0
3 years ago
Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is
Kobotan [32]
121 x 12 = 1452 so over 1500 is not a correct estimate. Less than 1500 is the right estimate
3 0
3 years ago
A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclinati
max2010maxim [7]

Answer:

  • The coordinates of the point p are:       (x,xtan\alpha )

                   

           

Explanation:

1. Name the angle of inclination of the line joining p to the origin α.

2. Find the relation between the coordinates of the point (x,y)

When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).

As per the definition of the tangent trigonometric ratio you have:

  • tan\alpha =\frac{y}{x}

From which you can clear y:

  • y=xtan\alpha =>(x,y)=(x,xtan\alpha )

Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.

8 0
3 years ago
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