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3 years ago

Write each Percent as a decimal and as a mixed number or fraction in simplest form

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

$p\%=\dfrac{p}{100}\\\\225\%=\dfrac{225}{100}=2\dfrac{25}{100}=2.25=2\dfrac{1}{4}\\\\550\%=\dfrac{550}{100}=\dfrac{55}{10}=5\dfrac{5}{10}=5.5=5\dfrac{1}{2}\\\\0.8\%=\dfrac{0.8}{100}=\dfrac{0.8\cdot10}{100\cdot10}=\dfrac{8}{1,000}=0.008=\dfrac{1}{125}\\\\0.06\%=\dfrac{0.06}{100}=\dfrac{0.06\cdot100}{100\cdot100}=\dfrac{6}{10,000}=0.0006=\dfrac{3}{5,000}$

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Use the FOIL method to find the product. (x - 8)(x + 3)

Sliva [168]

Greetings and Happy Holidays!

FOIL stands for: First Outside Inside Last

FOIL is the order in which you would multiply (distributive property) the different terms:
$(x - 8)(x + 3)$

Multiply the First terms $(x)(x)$ :
$=x^2$

Multiply the Outside terms $(x)(3)$ :
$=x^2+3x$

Multiply the Inside terms $(-8)(x)$ :
$=x^2+3x-8x$

Multiply the Last terms $(-8)(3)$ :
$=x^2+3x-8x-24$

Simplify the expression:
$=x^2-5x-24$

The Answer Is:
$\boxed{=x^2-5x-24}$

I hope this helped!
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Find the range of the function y=1/2x+3 when the domain is (-2,0,2,4)

Triss [41]

Answer:

{2,3,4,5}

Step-by-step explanation:

Domain is the set of x-values for which the function is defined.

Range is the set of y-values for which the function is defined (set of values corresponding to the set of x-values).

The function is given as $y=\frac{1}{2}x+3$

The domain is (-2,0,2,4)

That means, we need to plug-in the 4 numbers given into x of the function and find the 4 corresponding y values (the range).

So, lets do this:

putting x = -2,

$y=\frac{1}{2}(-2)+3=2$

putting x = 0

y = 3

putting x = 2

$y=\frac{1}{2}(2)+3=4$

putting x= 4

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3 years ago

Consider functions f and g below.

dedylja [7]

You need to change the sign of all terms of g(x) and then combine the like terms and simplify your answer.

Step-by-step explanation:

Since the functions f(x) and g(x) are missing in the question, I will explain it with my own example and you can solve it with your functions.

Let f(x)= 2x^2+3x+4

and g(x) = 4x^2+9x-6

We need to find f(x)-g(x)

Solving:

f(x)-g(x)=2x^2+3x+4-(4x^2+9x-6)

f(x)-g(x)=2x^2+3x+4-4x^2-9x+6

f(x)-g(x)=2x^2-4x^2+3x-9x+4+6

f(x)-g(x)=-2x^2-6x+10

So, you need to change the sign of all terms of g(x) and then combine the like terms and simplify your answer.

Keywords: Composite Functions

Learn more about Composite functions at:

#learnwithBrainly

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