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3 years ago

I need to factor 2x squared plus 6X minus 80

1 answer:

hjlf3 years ago

8 0

2x*2 + 6x + 80

First we have to use distribution property

2(x*2 + 3x + 40)=0
Divide 2 to both sides

X*2 + 3x + 40=0

Multiply -1
-x*2 -3x-40=0
Add two numbers to get 3x
Multiply same two numbers that you add to get 40x*2

Add
-8x+5x= -3x

Multiply
-8x . 5x= -40x*2

-x*2-8x+5x-40

(X*2-8x) + (5x-40)

X(x-8)+ 5(X-8)

Common factor

(X-8)(x+5)

This would help you!

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What are the verter and x-intercepts of the graph of the function given below?<br> y=x2-2x-35

horsena [70]

For x intercepts, plug in 0 for y.

0 = (x^2) - 2x - 35

*factoring* = (x-7)(x+5)

x intercepts = 7,-5

As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex

so,

x = -b/2a = -(-2)/2 = 1

then just find the y value by plugging it back in to the equation.

y = ((1)^2) - 2(1) - 35

= -36

so, vertex is at (1,-36)

5 0

2 years ago

A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

3 0

2 years ago

I missed the day we learned this, please help

love history [14]

Answer:

The slope is 1/3

Step-by-step explanation:

Take 2 points on the line, lets use (0,50) and (30,60)

x1 y1 x2 y2

Use slope formula:

y2 - y1 / x2 - x1

60 - 50 / 30 - 0

10 / 30

which can be simplified to:

1/3

7 0

2 years ago

what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.

raketka [301]

Answer:

Step-by-step explanation:

Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.

3 0

2 years ago

A line intersects the points (-5, 1) and (-2,7). What is the slope of the line in simplest form? m=[?}

IrinaK [193]

Step-by-step explanation:

To find slope : y2- y1 / x2 - x1

we have ( -5 , 1 ) which is ( x1 , y1 )

and ( -2 , 7 ) is ( x2 , y2 )

so; 7 - 1 / -2 - (-5)

6/3

= <u>2</u>

7 0

2 years ago