Answer:
Step-by-step explanation:
1
Given x³, we can write the equivalent expression -----------
x^(-3)
1
Given y^(-4) we can rewrite this as ----------
y^4
Here we're applying the "rule of negative exponents."
A. Translate each of the following into algebraic expressions: (1 point each)
1.x plus y squared ---> x + y^2
2.8 times a number, x, decreased by y ---> 8x - y
3.the sum of x and y, squared ---> (x + y)^2
4.3 times the difference of x and y ---> 3( x - y)
5.6 less than x cubed --- > x^3 - 6
B. Translate the following phrases into algebraic expressions. Explain,
in complete sentences, the difference between the two. (3 points)
´twice the sum of x and y ---> 2(x + y)
´the sum of twice x and y ---> 2x + y
The first one adds first x and y, and then doubles the result, while the second one first doubles de value of x and the adds y.
C. Create your own example of a mathematical phrase you might hear in
the real world and provide the translation for it. Be sure to identify
what part of the phrase i
The sales of this year exceeded the sales of last year in tweny millions.
y = x + 20,000,000, where x represents the sales of last year and y represents the sales of this year,
Change the inches into feet. There are 12 inches in a foot so divide 144 by 12. That gives you 12, so then multiply 12 by 14. You are left with 168 feet.
You will have 233 animals left.
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
