Share £54 into the ratio 1:3

Mathematics

1 answer:

Marina86 [1]3 years ago

5 0

Answer:

£13.5

£40.5

Step-by-step explanation:

Let the amount of shares be x and 3x

Therefore,

$x + 3x = 54 \\ \\ 4x = 54 \\ \\ x = \frac{54}{4} \\ \\ x = 13.5 \\ \\ 3x = 3 \times 13.5 = 40.5$

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Write the equation of a line passing through the points (2, -4) and (2, -9). Write the equation in slope-intercept form.

Norma-Jean [14]

1. find our slope: y2 - y1/ x2- x 1

-9 + 4= -5
2 - 2 = 0

m = 0

2. now we need to use our point-slope form to find our y intercept

point-slope form: y - y1 = m(x - x1)

y + 4 = 0(x - 2)

distribute:
y + 4 = 0x

3. get y by itself

y + 4 - 4 = y
0x - 4 = 0x - 4

4. write in slope-intercept form:

y = 0x - 4
OR
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8 0

3 years ago

A. Plot the data for the functions f(x) and g(x) on a grid and connect the points.

labwork [276]

Answer:

a) see the plots below

b) f(x) is exponential; g(x) is linear (see below for explanation)

c) the function values are never equal

Step-by-step explanation:

a) a graph of the two function values is attached

b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.