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2 years ago

Give the positive solution of x^2 – 36 = 5x.

1 answer:

5 0

The equation given in the question is

x^2 - 36 = 5x
x^2 - 5x - 36 = 0
x^2 - 9x + 4x - 36 = 0
x(x - 9) + 4(x - 9) = 0
(x - 9) (x + 4) = 0
From the above set we can say that x = 9 is the positive solution of the equation given in the question. I hope that this is the answer that you were looking for and it has come to your great help.

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Avani has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $17, before dis

Pachacha [2.7K]

The percentage discount on the item will be equal to 8%.

<h3>What is the percentage?</h3>

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Price of the item before tax and discount = $17
After discount and before tax price is = $15.64

The percentage of the discount will be calculated as:-

Percentage discount = ( 17 - 16.64 ) / ( 17 )

Percentage discount= ( 1.36 ) / ( 17 )

Percentage discount = 0.08 x 100 = 8%

Therefore the percentage discount on the item will be equal to 8%.

To know more about percentages follow

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5 0

2 years ago

Please help fast ^^

allsm [11]

The discriminante :
b^2-4ac

1^2 - 4 * -2 * -28 = 1 - 224 = -223

When the discriminant (b^2-4ac) is less than 0, the equation had no real solutions.

-223<0, so, 2x^2+x-28 = 0 has no real solutions.

Hope that helps :)

7 0

2 years ago

This graph shows the cost of buying dried fruit.

Ann [662]

The slope of the line is3.50 This means that every pound of dried fruit costs $.3.50 sorry this is late

5 0

2 years ago

Read 2 more answers

The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the s

Brilliant_brown [7]

Answer:

C=hypotenuse [h]=50 feet

A=[base]=40foot.

B=perpendicular [p]=?

Area =?

we have

By using Pythagoras law

p²+b²=h²

B²=40²=50²

B²=50²-40²

B=√900

B=30feet

we have

Area of triangle =½×A×B=½×30×40=600feet²

the roped off area is 600 square feet.

it is a right angled triangle.

4 0

2 years ago

Read 2 more answers

2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

8 0

3 years ago