3 years ago

Given f’(x), where is f(x) increasing? Where is f(x) concave up?

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

See explanation below

Step-by-step explanation:

a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.

b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.

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Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

Softa [21]

$\boxed{ \mathfrak { question↷}}$

Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

$\boxed{ \mathfrak { solution↷}}$

Let Pip get be x and fiona get be x+35

Ratio = 6:1

$\tt \frac{x + 35}{x } = 6$

$\tt \: x + 35 = 6x$

$\tt \: 5x = 35$

$\tt \: x = 7$

$\boxed{ \sf \: Total \: money = x + x + 35 = 14+ 35 = £49}$

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