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3 years ago

Simplify 3 1/4 ÷ 5/6 6/5 1 1/5 5/6 8/15

Mathematics

2 answers:

marishachu [46]3 years ago

4 0

Answer:

Exact Form:

39 /10

Decimal Form:

3.9

Mixed Number Form:

3 9/10

Step-by-step explanation:

polet [3.4K]3 years ago

3 0

Answer:

$\frac{39}{10} = 3 \frac{9}{10}$

Step-by-step explanation:

3 1/4 ÷ 5/6

13/4 × 6/5

13/2 × 3/5

= 39/10 = 3 9/10

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Answer:

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Step-by-step explanation:

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3 years ago

which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x 2? righ

irina1246 [14]

Answer:

$5$ units to the right and $23$ units down

Step-by-step explanation:

we have

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This is a vertical parabola open upward with vertex at point $(0,0)$

$g(x)=x^{2} -10x+2$

Step 1

Convert the function g(x) into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$g(x)-2=x^{2} -10x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$g(x)-2+25=x^{2} -10x+25$

$g(x)+23=x^{2} -10x+25$

Rewrite as perfect squares

$g(x)+23=(x-5)^{2}$

$g(x)=(x-5)^{2}-23$

The function g(x) is a vertical parabola with the vertex at point $(5,-23)$

Step 2

Find the rule of the translation

$(0,0)-------> (5,-23)$

$(x,y)-------> (x+5,y-23)$

That means

The translation is $5$ units to the right and $23$ units down

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Answer:

Step-by-step explanation:

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