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2 years ago

What is the slope of 2x+3y=15

Mathematics

1 answer:

Fynjy0 [20]2 years ago

5 0

Note that the slope-intercept form is: y = mx + b

First, set the equation as such

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

3y = -2x + 15

Isolate the y. Divide 3 from both sides

(3y)/3 = (-2x + 15)/3

y = (-2/3)x + 5

-2/3 is your slope

hope this helps

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Select the two values of x that are roots of this equation. 2x+11x+15= 0

Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

The correct quadratic equation is

2x^2+11x+15=0

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

$2x^{2} +11x+15=0$

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{121-120}} {4}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1}{4}=-2.5$

$x_2=\frac{-11(-)1}{4}=-3$

therefore

The roots of the equation are x=-3 and x=-2.5

5 0

2 years ago

Y=1/2x +5 Y=-3/2x-7 Find x and y

gayaneshka [121]

I'm going to use the substitution method.

If y = - 3/2 - 7, then:

1/2x + 5 = - 3/2x - 7

Combine like terms:

4/2x = - 12. Mutiply both sides by 2/4 to get x = -12 (2/4)

Simplify to get:

x = - 6.

Plug - 6 back in for x in either equation.

Y = 1/2( - 6) + 5 which becomes Y = - 3 + 5.

X = - 6, Y = 2

8 0

3 years ago

Please help me with #1

jasenka [17]

let apple juice = x

milk = 2x

fruit punch = 3x

3x + 2x + x = 660

6x = 660

x = 660/6

x = 110 apple juices

2*110 = 220 milks

3*110 = 330 fruit punches

6 0

3 years ago

the weight of a nickel is 80% of the weight of a quarter.if a nickel weighs 5grams how much does a quarter weigh?

Rasek [7]

Just divide 100% by 80% and multiply that answer by 5. I'm pretty sure that's how you do it.

8 0

3 years ago

What is the opposite of -21? show all work

bogdanovich [222]

21 is the opposite of -21

8 0

2 years ago