Answer:
C. 7
Step-by-step explanation:
We have been given graphs of two exponential functions, f and g.
![g(x)=f(x)+k](https://tex.z-dn.net/?f=g%28x%29%3Df%28x%29%2Bk)
We can see that our parent function f(x) is translated k units to get function g(x).
The rules for translation are mentioned below.
Horizontal shifting:
= Graph shifted to right by a units.
= Graph shifted to left by a units.
Vertical shifting:
= Graph shifted upwards by a units.
= Graph shifted downwards by a units.
Upon comparing our given graph with transformation rules we can see that our function f(x) is translated k units upward to get function g(x).
Now let us find the value of k from our given graph.
We can see that initial value (y-intercept) of f(x) is -4 and initial value of g(x) is 3. Difference between y-intercepts of both functions is 7.
![\text{Difference between y-intercepts}= 3--4=3+4=7](https://tex.z-dn.net/?f=%5Ctext%7BDifference%20between%20y-intercepts%7D%3D%203--4%3D3%2B4%3D7)
Our parent function f(x) is shifted 7 units upwards to get new function g(x), therefore the value of k is 7 and option C is the correct choice.
Answer:
180
Step-by-step explanation:
What you have to do is multiply all of them.
9 x 4 x 5 = 180
Answer:
![\boxed{\large\sf y = 3x - 5}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Clarge%5Csf%20y%20%3D%203x%20-%205%7D)
Step-by-step explanation:
Here we are given a equation which is ,
We need to find out the equation of the line which is parallel to the given line and passes through the given point .
- And as we know that the slope of two parallel lines are equal .
On comparing the given equation with slope intercept form (y = mx + c )of the line , we have ,
Therefore the slope of the parallel line will be ,
Now we can use the <u>point </u><u>slope </u><u>form </u>of the line which is ,
Substitute ,
This is the required answer .
Answer: Kristin bought 6 Math books and 5 English books.
Step-by-step explanation: Let x be the number of math books and y the number of english books.
Relation: 306=26x+30y
11=x+y
Solve using elimination method so you would get that y=5 then replace y=5 in the first equation to find x which is 6
Answer:
5x=6+12y or 5x=12y+6
Step-by-step explanation: