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2 years ago

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

Mathematics

1 answer:

grigory [225]2 years ago

7 0

Answer: $x=5(13-12p)$

Step-by-step explanation:

Given equation: $x=65-60p$

$\\\Rightarrowx=(5\times13)-(5\times12)p$

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

$x=5(13-12p)$

Hence, by factoring the side that contains the variable p we have the expression $x=5(13-12p)$ .

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If you reflect the image over the x - axis, what are the new coordinates of the shape?

lutik1710 [3]

Greetings!

When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.

This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).

Hope this helps!

8 0

3 years ago

A service station charges $251 for

likoan [24]

4x=251
251-84=167
4x=167
X=41.75
One tire will cost $41.75

4 0

3 years ago

The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16

zzz [600]

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

4 0

2 years ago

Find the missing side of the triangle. leave your answer in simplest radical form

KIM [24]

missing side is $x} = 10.15$ mi .

<u>Step-by-step explanation:</u>

Here we have the following info from the figure: A right angled triangle with following dimensions

$Perpendicular = x$

$base = \sqrt{122}$

$Hypotenuse = 15$

By Pythagoras Theorem :

$Hypotenuse^2 = Perpendicular^2 + base^2$

⇒ $Hypotenuse^2 = Perpendicular^2 + base^2$

⇒ $15^2 = x^2 + (\sqrt{122})^2$

⇒ $225 = x^2 + 122$

⇒ $x^2 = 225-122$

⇒ $x^2 = 103$

⇒ $(x^2)^\frac{1}{2} = (103)^\frac{1}{2}$

⇒ $x} = (103)^\frac{1}{2}$

⇒ $x} = 10.15$

Therefore, missing side is $x} = 10.15$ mi .

8 0

2 years ago

What elements in domain has the image 5 under function f(x)= 3x+ 2?

bekas [8.4K]

Answer:

Step-by-step explanation:

hello

calculate x : 3x+2 =5

means : 3x+2-2 =5-2

3x = 3

so : x = 3/3 =1

1 is the element in domain has the image 5 under function f(x)= 3x+ 2

7 0

1 year ago