Answer:
f(− 3) = 84
Step-by-step explanation:
Given the function, f(x) = 7(9 − x), to find the value of f(-3) substitute x = -3 into the function:
f(− 3) = 7(9 − (− 3))
f(− 3) = 7(9 + 3)
f(− 3) = 7(12)
f(− 3) = 84
Therefore, f(− 3) = 84.
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Answer:
x<2
Step-by-step explanation:
multiply 5 by the numbers inside the parenthesis
5x-10<-3x+6
add 10 to both sides
5x-10+10<-3x+6+10
simplify
5x<-3x+16
add 3x to both sides
5x+3x<-3x+16+3x
simplify
8x<16
divide by 8
8x/8 < 16/8
x<2
Answer:
80
Step-by-step explanation:
Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720
Since this looks like a regular hexagon each interior angle =720/6=120
Hence the inside angle touching the line is 120 (inside the hexagon)
Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,
Then y= 180-20=160
Then x=360-(160+120)=80 because sum of all angles round a point=360
Answer:
A) 9 photos in each row
B) 14 rows in total
Step-by-step explanation:
Photos of People = 45
Photos of Landscapes = 18
Photos of Pets = 63
Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.
By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.
So,
There will be:
45/9 = 5 rows with photos of people
18/9 = 2 rows of photos of landscapes
63/9 = 7 rows of photos of pets
So, total number of rows would be = 5 + 2 + 7 = 14 rows
