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3 years ago

4 & 7/8 divided by 1 & 1/6

Mathematics

1 answer:

belka [17]3 years ago

4 0

Answer:

$4 \frac{5}{28}$

Step-by-step explanation:

$4 \frac{7}{8} \div 1 \frac{1}{6}$

Convert the mixed numbers above to improper fractions

$= \frac{39}{8} \div \frac{7}{6}$

Rule of basic operation states that when dividing fractions, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that 7/6 becomes 6/7.

$= \frac{39}{8} \times \frac{6}{7}$

$= \frac{39 \times 6}{8 \times 7}$

$= \frac{234}{56}$

Converting the answer above to mixed number result to:

$= 4 \frac{5}{28}$

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If g(x)= square root of 3-5x, find the domain of g'(x).

BaLLatris [955]

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

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In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

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3 years ago

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Given h(x) = |x+3| -5

statuscvo [17]

Answer:

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Step-by-step explanation:

we have

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The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

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The rule of the transformation of f(x) to h(x) is equal to

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3 years ago

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olga2289 [7]

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What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex

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