Justin wants to paint his room. So he put together some
quotations from two different painters. The first painter's total charge was
based on the number of hours (denoted as x) worked was modeled as
f( x ) = 70 + 5 x, while that of the second painter was
g( x ) = 30 + 15 x. Justin knows that it will take more than 4
hours to decorate the house so he was certain to go with the first painter
whose cost is low-priced when the number of hours is above 4 hours.
Answer:
4 cm.
Step-by-step explanation:
Given:
A box has a volume of 308 cm cubed.
Its height is 4 cm greater than its length.
Its length is 3 cm greater than its width.
Question asked:
What is the width of the box?
<u>Solution</u>:
Let width = 
Length = 
Height = 
<u>As we know:</u>
<u />
As width can never be in negative, 
By substituting the value:-
Width = = 4 cm
Thus, width of the box is 4 cm.
Answer:
x=9
Step-by-step explanation:
a scale drawing means all the sides are multiplied by the same amount. to find this amount, you can divide the larger side by the bigger side by the smaller side.
15/5 = 3
12/4 = 3
therefore the scale factor is 3. to get the value of x, multiply the value of the third side by 3.
3*3=9
x=9
Part a b2+49−(b−7)2
Distribute:
=b2+49+−b2+14b+−49
Combine Like Terms:
=b2+49+−b2+14b+−49
=(b2+−b2)+(14b)+(49+−49)
=14b
Answer:
=14b
part b
(2a+6b)2−24ab
Distribute:
=4a2+24ab+36b2+−24ab
Combine Like Terms:
=4a2+24ab+36b2+−24ab
=(4a2)+(24ab+−24ab)+(36b2)
=4a2+36b2
Answer:
=4a2+36b2
