Answer: 2 books.
Step-by-step explanation:
The rate of doing a given activity in a given amount of time can be calculated as:
Rate = (how much you do)/(time that it takes)
In this case, we know that:
Marcos reads (3 + 1/2) books in (1 + 3/4) weeks.
then the rate is calculated as:
R = (3 + 1/2) books/(1 + 3/4) weeks
= (3 + 1/2)/(1 + 3/4) books per week.
= (6/2 + 1/2)/(4/4 + 3/4) books per week
= (7/2)/(7/4) books per week
= 4/2 books per week
= 2 books per week
This means that marcos can read 2 books in one week.
Answer:
x = 36°
Step-by-step explanation:
Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:
3x +2x = 180°
5x = 180° . . . . . . . . . collect terms
x = 180°/5 = 36° . . . . . divide by 5
Answer:
506.093
Step-by-step explanation:
Answer:
The graph shifts 7 units left and 2 units up.
Step-by-step explanation:
In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.
When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.
I learned transformations with these variables:
![f(x) = \frac{a}{k(x-c)} + d](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Ba%7D%7Bk%28x-c%29%7D%20%2B%20d)
"a" - vertical stretch (a > 1) or compression (0 < a < 1)
"k" - horizontal stretch (0 < k < 1) or compression (k > 1)
"c" - translate left (+) or right (-)
"d" - translation up (+) or down (-)
The untranslated graph is centred around the origin f(x) = 1/x
f(x) begins 3 units right and 1 unit up of the untranslated graph.
g(x) is 4 units left and 3 units up of the untranslated graph.
y
g |
| f
-----------|------------ x
There is a 7 units translation left and 2 units translation up.