You take the amount paid and divide it by the amount of cheese. So 10.50 divided by 2.5 equals 4.2 and 12.60 divided by 3 equals 4.2 meaning that one pound of cheese costs $4.20
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
Answer:
Starting from the one on the left.
Upper left:
145 degrees
Down left:
35 degrees
Down right:
145 degrees.
-------------
Now for the right image.
Upper left:
153 degrees
Down left:
27 degrees
Down right:
153 degrees
Step-by-step explanation:
Apply the same steps for the second image as for the first.
One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.
And another useful reminder is that opposed angles have the same degree.
Starting from the one on the left.
Upper left:
180 - 35 = 145 degree
Down left:
since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.
Down right:
since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.
You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.
example: on the right image, for the down part, I wrote as answers 27 degrees (for down left because it is opposed to upper right) and 153 degrees (for down right because it is opposed to upper left) => 153 + 27 = 180 degrees
Answer:
5a
Step-by-step explanation:
Solution
verified
Verified by Toppr
We have x
3
−ax
2
+6x−a
Apply remainder theorem
x−a=0
x=a
Put x=a in equation.
(a)
3
−a(a)
2
+6a−a
=a
3
−a
3
+6a−a
=6a−a
=5a
Then reminder is 5a
<span>(5a^2-4)*(25a^4+20a^2+16) is your answer</span>
