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Ostrovityanka [42]

3 years ago

6

Ind.

2 answers:

bezimeni [28]3 years ago

8 0

Answer:

D. 0.87, -1.54

Step-by-step explanation:

The easiest method I know is to let a graphing calculator show you the solutions. The graph shows solutions to be approximately -1.54 and 0.87.

S_A_V [24]3 years ago

4 0

Answer:

$x=-\frac{1-\sqrt{13} }{3} ,-\frac{1+\sqrt{13} }{3}$

$0.87, -1.54$

Step-by-step explanation:

$3x^2+2x-4=0$

Use the quadratic formula:

$x=\frac{-b+\sqrt{b^2-4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}$

$x=\frac{-2+\sqrt{2^2-4*3*-4} }{2*3} ,\frac{-2-\sqrt{2^2-4*3*-4} }{2*3}$

Simplify:

$x=\frac{-2+2\sqrt{13} }{6} ,\frac{-2-2\sqrt{13} }{6}$

$x=-\frac{1-\sqrt{13} }{3} ,-\frac{1+\sqrt{13} }{3}$

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Help please help i need the answer

ASHA 777 [7]

2x+3y=6

- subtract 2x from both sides

3y = -2x + 6

- divide each term by 3

$\frac{3y}{3} = -\frac{2x}{3} + \frac{6}{3}$

- simplify

$\frac{6}{3} = 2$

$y= -\frac{2x}{3} + 2$

- write in slope-intercept form

$y= -\frac{2}3} x+6$

6 0

3 years ago

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Advocard [28]

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5 0

4 years ago

Name the property of equation 8 x 1/8=1

tatiyna

Answer:

Inverse property of multiplication

Step-by-step explanation:

7 0

4 years ago

5.Find the roots of the parabola given by the following equation.

snow_tiger [21]

Answer:

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

$2x^{2} +5x-9=2x$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^{2}+5x-2x-9=0$

$2x^{2}+3x-9=0$

so

$a=2\\b=3\\c=-9$

substitute in the formula

$x=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-9)}} {2(2)}$

$x=\frac{-3(+/-)\sqrt{81}} {4}$

$x=\frac{-3(+/-)9} {4}$

$x=\frac{-3(+)9} {4}=1.5$

$x=\frac{-3(-)9} {4}=-3$

therefore

The roots are x=-3 and x=1.5

Part 6) Solve the inequality and graph the solution on a number line.

$-3(5y-4)\geq 17$

Solve for y

$-15y+12\geq 17$

Subtract 12 both sides

$-15y\geq 17-12$

$-15y\geq 5$

Multiply by -1 both sides

$15y\leq -5$

Divide by 15 both sides

$y\leq -1/3$

The solution is the interval -----> (-∞, -1/3]

All real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

7 0

3 years ago

M(7, 5) is the midpoint of line RS The coordinates of S are (8, 7). What are the coordinates of R?

Shtirlitz [24]

Answer:

The coordinates of point R are (6 , 3)

Step-by-step explanation:

* Lets revise the rule of the mid-point

- The mid point (x , y)of a line whose end points are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ M is the mid point of line RS

∵ The coordinates of point M are (7 , 5)

∴ x = 7 and y = 5

∵ The coordinates of point R are $(x_{1},y_{1})$

∵ The coordinates of point S are (8 , 7)

∴ $(x_{2},y_{2})$ = (8 , 7)

∴ $x_{2}=8$ and $y_{2}=7$

- By using the rule above

∵ $x=\frac{x_{1}+x_{2}}{2}$

∵ $7=\frac{x_{1}+8}{2}$

- Multiply both sides by 2

∴ $14=x_{1}+8$

- Subtract both sides by 8

∴ $x_{1}=6$

∴ the x-coordinate of point R is 6

∵ $y=\frac{y_{1}+y_{2}}{2}$

∵ $5=\frac{y_{1}+7}{2}$

- Multiply both sides by 2

∴ $10=y_{1}+7$

- Subtract both sides by 7

∴ $y_{1}=3$

∴ the y-coordinate of point R is 3

* The coordinates of point R are (6 , 3)

6 0

3 years ago