Answer:
x^ -10 or 1/x^10
Step-by-step explanation:
Answer:
The smaller number is 240.
Step-by-step explanation:
The question says that the larger number is 300, so 5 has to be 300.
4:5
?:300
You can use cross-multiplication or find the scale factor to find the answer.
Cross-multiplication:
4 × 300 ÷ 5 = 240
Finding the scale factor:
300 ÷ 5 = 60
4 × 60 = 240
The smaller number is 240.
Width = x
length = x+10
Area of deck = 144 square feet
Area = length * width
144 = x(x+10)
Solving for x in a quadratic:
x²+10x = 144
x²+10x-144 = 0
Factor:
(x+18)(x-8) = 0
Solving for x:
x = 8, x = -18
Dimensions cannot be negative, therefore x = 8, only.
Length = x + 10
Length = 18
Width = 8
Answer:
8x² - 15y² + xy
Step-by-step explanation:
(4x + 5y) (2x - 3y) + 3xy
multiplying the terms in brackets
(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy
multiplying with each terms inside the bracket
(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy
doing the product each of the pair of terms
8x² - 12xy + 10xy - 15y² + 3xy
taking the sum of terms with coefficient "xy"
8x² - 15y² -2xy + 3xy
8x² - 15y² + xy
Answer:
13.99p + 4.49s ≤ 80
Step-by-step explanation:
Pizza is p and soda is s. If he has only $80 to spend on a combination of both, he cannot obviously spend more than that. Therefore, the inequality sign is "less than or equal to". He can spend 80, but he can also spend less than 80. He cannot spend anything over that, since he doesn't have it to spend!
If pizzas are represented by p, and we know the cost of each one is 13.99, we represent one pizza as 13.99p; if the cost of sida is 4.49 per case, we represent one case as 4.49s.
The sum of these cannot exceed 80, so the inequality, then, is:
13.99p + 4.49s ≤ 80