Answer:176 psychology textbooks and 98 Biology textbooks were sold.
Step-by-step explanation:
Let x represent the number of psychology textbooks that were sold.
Let y represent the number of biology textbooks that were sold.
textbook store sold a combined total of 274 psychology and biology textbooks in a week. This means that
x + y = 274 - - - - - - - - - - -1
The number of psychology textbooks sold was 78 more than the number of biology textbooks sold. This means that
x = y + 78
Substituting x = y + 78 into equation 1, it becomes
y + 78 + y = 274
2y = 274 - 78
2y = 196
y = 98
x = y + 78 = 98 + 78
x = 176
Answer:
10,000
Step-by-step explanation:
The base for a normal log is 10. You raise the base by the answer, which is 4. 
is 10,000.
Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49
Answer:
Step-by-step explanation:
Given this function:
We need to find the value of:
This is really simple because the problem give us the following data:
Using this data we can write a 2x2 system of equations like this:
Let:
and
Our system will be:
We can solve this system using different methods, however I will use elimination method because I believe it is really simple. So:
Replacing 
into (1)
Now we found the values of and 
, our function is given by:
Let's verify it:
As you can see the function satisfies the data provided by the problem. So we can conclude that it is correct.
Finally, let's find 
for 
:
Hence:
Answer:
30
Step-by-step explanation:
