Answer:
x = -1
Step-by-step explanation:
-2(3x-4)=4(x+3)+6
Distribute
-6x +8 = 4x +12 +6
Combine like terms
-6x +8 = 4x+18
Add 6x to each side
-6x+6x +8 = 4x+6x +18
8 = 10x+18
Subtract 18 from each side
8-18 =10x+18-18
-10 = 10x
Divide each side by 10
-10/10 = 10x/10
-1 =x
Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .
<u>Step-by-step explanation:</u>
We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,
Perimeter = 42 inches
⇒ 
width of printed area = x-3 & length of printed area = y-2:
area = 
Let's find 
:
= 
, for area to be maximum = 0
⇒ 
And ,
∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .
Answer:
a square, rectangle,trapezoid
Step-by-step explanation:
The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.
Given that a card is randomly chosen from 8 cards shown in figure.
We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.
Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Number of cards=8
Number of repeated cards=0
Number of cards showing Q and R =1 each.
Probability of getting Q or R is P(X=Q)+P(X=R)
= 1/8+1/8
=2/8
=1/4
=0.25
Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.
Learn more about probability at brainly.com/question/24756209
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