Answer:
Option a. The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation:
If we draw a graph of f(x) = |x| and g(x) = 3|x| and we compare them
we find that g(x) is stretched vertically.
Now we will check it from both the graphs.
For graph y = |x|
for x = 4
y = 4
But for second graph which is y = 3|x|
for x value = 4
y = 12
Therefore for y values graph g(x) got stretched vertically.
Hence option a. is correct.
The height of the book is 18 inches tall.
<h3>How to calculate the height?</h3>
The width of an image of a book shown on a website = 1.5 inches
The length of the book shown on the website = 3 inches
The actual width of the book = 9 inches
Scale of the book image = 1 inches = 6 inches
The actual heigth of the book:
= 3 × 6
= 18 inches.
The actual book is 9 inches wide and 18 inches tall.
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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide
Answer:
--- Running cost
--- Monthly income
71 cars
R1775
Step-by-step explanation:
Given
Expenses
per car
Income
per car
Solving (a): Expression for the running cost
This is calculated as:
Where
y = Total running cost
x = number of cars
So:
Solving (b): Expression for monthly income
This is calculated as:
Where
y = Total income
x = number of cars
So:
Solving (c): Break even
To do this, we equate the expressions in (a) and (b)
Collect Like Terms
Solve for x
Solving (d): How much to break even
Substitute 71 for x in any of (a) or (b)
<em>Solving (e): There is no question to answer on the "graph"</em>
We know that vertically opposite angles are equal.
So, k = 131° [Vertically opposite angles]
and g = 43° [Vertically opposite angles]
We know that linear pair of angles are supplementary (180°).
So, h + 43° = 180° [Linear pair of angles]
=> h = 180° - 43°
=> h = 137°
and m + 131° = 180° [Linear pair of angles]
=> m = 180° - 131°
=> m = 49°
a) 3 1/4 pounds of apple costs $6.46
b) X pounds of apple costs $1.99X
c) Clare bought 2.59 pounds of apple
Step-by-step explanation:
Cost of apple per pound= $1.99
a) 3 1/4 pounds = 13/4 pound
Cost for 13/4 pounds of apple = 1.99(13/4)
= $6.46
b) cost for X pound = 1.99(X)
=$ 1.99X
c) money spent for apples = $5.17
Cost per pound = $1.99
Total weight of apple bought = 5.17/1.99
= 2.59 pounds of apple
