C(cost)=6x+9
9 is the cost of three hot dogs
6x represents 6 tickets and their cost
Answer:
4x + 6
Step-by-step explanation:
To determine what the numerator would be, after simplifying both fractions, take the following steps:
Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.
Thus,
x² + 2x + x + 2
(x² + 2x) + (x + 2)
x(x + 2) +1(x + 2)
(x + 1)(x + 2)
We would now have the following as our new fractions to add together and simplify:
Step 2: find the highest common factor of the denominator of both fractions.
Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)
Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.
Thus,
Therefore, the numerator of the simplified form sum of both fractions = 4x + 6
The slope of the line is 5/1 because the number by the x is always your slope and it is always to be announced as a fraction so you add 1 as the denominator if there isn’t already a denominator.
The area which is not in used for the flower gardens is 10964 sq ft.
Step-by-step explanation:
Given,
Length (l) of the rectangular park = 160 ft
Width (b) of the rectangular park = 80 ft
Length (l) of each rectangular flower garden = 18 ft
Width (b) of each rectangular flower garden = 17 ft
To find the area which is not in used.
Formula
The area of rectangle = l×b
Now,
The area of the rectangular park = 160×80 sq ft = 12800 sq ft
The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft
The area of 6 rectangular flower garden = 306×6 sq ft = 1836 sq ft
So,
The area which is not in used = 12800-1836 sq ft = 10964 sq ft.
For me, it’s easiest when i distribute the negative sign if i need to and then reorder to put the like terms together. and then solve.
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)
21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D
22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D
23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A
24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D
25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B
