F(x)=7-3x g(x)=3x-7
First let’s solve for f(1)
f(1)= 7-3(1)
f(1)= 7-3
f(1)= 4 *we will save this for later
Let’s now solve for g(1)
g(1)= 3(1)-7
g(1)= 3-7
g(1)= -4
Now we can find f(1) + g(1)
f(1) =4 and g(1)= -4
4+(-4) = 0
Answer:
-127
Step-by-step explanation:
u(x)=2x-2
w(x)= -2x^2+1
w(u(5))=?
---------
u(5)= 2*5-2= 8
W(8)= - 2*64+1= -127
Answer:
x = 41
Step-by-step explanation:
6(x−6)=5(x+1)
Step 1 - Expand the brackets:
6(x - 6) = 5(x + 1)
6x - 36 = 5x + 5
Step 2 - Add 36 to both sides of the equation:
6x - 36 + 36 = 5x + 5 + 36
6x = 5x + 41
Step 3 - Subtract 5x from both sides of the equation:
6x - 5x = 5x + 41 - 5x
x = 41
Hope this helps!
Answer: 
Concept:
Here, we need to know about the idea of a cyclic quadrilateral.
In a <u>cyclic quadrilateral</u>, the sum of either pair of opposite angles is supplementary, which means they add up to 180°.
Please refer to the attachment below for a graphical explanation
Solve:
<u>Given information</u>
∠DAB = 2x + 4
∠ABC = 4y + 4
∠BCD = 4x + 2
∠CDA = 3y + 8
<u>Derived formula from the concept</u>
∠DAB + ∠BCD = 180°
∠ABC + ∠CDA = 180° (Not Important)
<u>Substitute values into the formula that includes ∠DAB</u>
∠DAB + ∠BCD = 180°
(2x + 4) + (4x + 2) = 180
<u>Combine like terms</u>
2x + 4 + 4x + 2 = 180
2x + 4x + 4 + 2 = 180
6x + 6 = 180
<u>Subtract 6 on both sides</u>
6x + 6 - 6 = 180 - 6
6x = 174
<u />
<u>Divide 6 on both sides</u>
6x / 6 = 174 / 6
x = 29
<u>Substitute values into the angle expression of ∠DAB</u>
∠DAB = 2x + 4
∠DAB = 2 (29) + 4
∠DAB = 58 + 4

Hope this helps!! :)
Please let me know if you have any questions