Answer:
Diagram D
Explanation:
1- let's get the base function:
We are given that:
f(6) = 9
f(7) = 10
f(8) = 11
f(9) = 12
From these givens, we can note that the function can be represented as follows:
f(x) = x + 3
2- let's get the inverse:
To get the inverse of a function, we will simply swap the x and y variable
This can be done as follows:
f(x) = x + 3
y = x + 3
Now, we swap:
x = y + 3
x - 3 = y + 3 - 3
y = x - 3
3- let's now get the values for the given x:
f(6) = 6 - 3 = 3
f(7) = 7 - 3 = 4
f(8) = 8 - 3 = 5
f(9) = 9 - 3 = 6
f(10) = 10 - 3 = 7
f(11) = 11 - 3 = 8
f(12) = 12 - 3 = 9
Comparing the calculated values with the given diagrams, we can note that the correct diagram is D
Hope this helps :)
Answer:
290
Step-by-step explanation:
These are rectangular prisms. The volume formula for a rectangular prism is
l x w x h.
I'll call the bottom cuboid 'Figure A'.
Figure A has a length of 8, a width of 5, and a height of 5. The volume formula is: 8 x 5 x 5. 40 x 5 =200
The volume of Figure A is 200.
I'll call the top cuboid Figure B.
Figure B has a length of 3, a width of 5, and a height of 6. That turns into
3 x 5 x 6.
The volume of Figure B is 90.
The volume of a composite figure is the sum of the figure's volume.
200+90=290
Answer:
log(100) = 2
Step-by-step explanation:
Logarithms are of base 10, so log(100) is the same as saying:
10^number = 100
That number would be 2, because 10² = 100.
Answer:
Congruent
Step-by-step explanation:
Answer:
12 1/4
Step-by-step explanation:
You would first add the fractions which will get you 5/4. then you will add the whole numbers which will get you 11. Then there is a extra number in 5/4 so you can tranfer it to the whole number which will become... 12 and then you will be left with 12 1/4