Answer:
To match each functions with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.
1. k(x) = (3h - 5g)(x)
= = 3(5 - 3x)-5(-3 x + 5)
= = 15 - 9x + 15x - 25
K(x) = -10 + 6x
2. k(x) = (h - g)(x)
= = (5 - 3x) - (-3 x + 5)
= = 0
k(x) = 0
3. k(x) = (5g + 3h)(x)
= = 5(-3 x + 5)+3(5 - 3x)
= = -15x + 25 + 15 - 9x
k(x) = - 24x +40
4. k(x) = (3g + 5h)(x)
= = 3 (-3 x + 5) + 5(5 - 3x)
= = -9x + 15 +25 -15x
k(x) = -24x + 40
5. k(x) = (g + h)(x)
= = (-3 x + 5) + (5 - 3x)
k(x) = -6x + 10
6. k(x) = (5h - 3g)(x)
= = 5(5 - 3x) - 3(-3 x + 5)
= =25 - 15x + 9x - 15
k(x) = 10 - 6x
Answer:

Step-by-step explanation:
Given:

This reads as: 256 to the power of "-4 to the power of 3/2".
Therefore, we need to deal with the "-4 to the power of 3/2" first.
Rewrite the 4 as 2²:




Therefore:

Replace "-4 to the power of 3/2" with -8 :

Rewrite 256 as 2⁸ :




In one complete calculation:

Learn more about exponent rules here:
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Answer:
The surface area of door is 33 680 cm².
Step-by-step explanation:
Given that the surface area of a cuboid which is the 3D of rectangle is :






<u>Answer:</u>
○ 
<u>Step-by-step explanation:</u>
Given the equation:
,
to solve for
, we have to rearrange the equation to make
its subject.

⇒
[expand brackets]
⇒ 
⇒
[add
to both sides]
⇒ 
⇒
[subtract 96 from both sides]
⇒ 
⇒
[divide both sides by 20]
⇒ 
Given
gas prices are now $3.75 and it up 10% from 6 months ago.
Find out how much were gas prices 6 months ago.
To proof
gas prices now = $3.75
let the gas price 6 month ago = x
gas price now is rise up 10% from 6 months ago
First write 10% in simpler form

= 0.1
Now the equation becomes
0.1x + x = 3.75
1.1x = 3.75

x = 3.41 (approx)
Thus gas prices 6 months ago be $ 3.41 (approx )
Hence proved