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3 years ago

John’s age is 2 years more than twice Mary’s age, and the sum of their ages is 32 years. How old is each.

Mathematics

1 answer:

MAVERICK [17]3 years ago

3 0

Answer:

John is 22; Mary is 10

Step-by-step explanation:

mary=m

john=2+2m

equation john + mary = 32

(2+2m) + m =32

3m+2 =32

3m=30

m=10

2m+2=?

2(10)+2=22

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

(a) A survey of the adults in a town shows that 8% have liver problems. Of these, it is also found that 25% are heavy drinkers,

jekas [21]

Answer:

The probability that the selected adult has liver problems is 0.08

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3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

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(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

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Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

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$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

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y intercept is when $x = 0$

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3 years ago