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3 years ago

Write the ratio 2/3 to 8 as a fraction in simplest form

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Do you mean: 2/3 of 8? If yes, then we have:

2/3 X 8=16/3=5 1/3

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Find the equation of the line shown.

kirza4 [7]

Answer:

see below

Step-by-step explanation:

From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.

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4 years ago

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3 years ago

Cesar has a piece of string that he wants to use to compare how far is cat's bed and his dog's bed are from their shared water b

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Step-by-step explanation:

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3 years ago

Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7

Mariana [72]

We are given the following functions

$\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}$

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

$\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}$

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

$\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

Therefore, f(g(x) and g(f(x)) are

$\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

5 0

2 years ago

If 4 : 9 is equivalent to (5x+13) : 63, then what is the value of x?

Aleksandr [31]

$\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}$

The value of x is 3

Step-by-step explanation:

$\textsf{\underline{\large{To find :-}}}$

The value of x

$\textsf{\underline{\large{Given :-}}}$

4 : 9 = (5x + 13) : 63

$\textsf{\underline{\underline{\large{Solution :-}}}}$

we can write this as

$\sf \frac{4}{9} = \frac{(5x + 13)}{63}$

Now we will cross multiply the values

$\sf 4 \times 63 = 9(5x + 13) \\ \\ \sf 252 = 45x + 117 \\ \\ \sf 252 - 117 = 45x \\ \\ \sf 135 = 45x \\ \\ \sf \frac{135}{45} = x \\ \\ \sf \orange {3 = x}$

5 0

2 years ago