Answer:
A. x = 3.03
B. x = 4/3
Step-by-step explanation:
A. 2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:
(x - 0.03) = 3. Removing the parentheses, we get: x = -0.03 = 3, or x = 3.03.
B. The distributive property is the faster method here. We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:
3(4 + x) = 16
and then carry out the indicated multiplication: 12 + 3x = 16, or
3x = 4, or x = 4/3
Answer:
Step-by-step explanation:
Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars
To find unit rate
Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars
I part:
5 apples = 13.95 dollars
1 apple = 13.95/5 (since direct variation)
Unit rate for one apple= 2.79 dollars
Part II:
13.95 dollars = 1 apple
1 dollar = 1/13.95 = 0.071
=0.07
But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple
Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
From the first equation
6x - y = 1
6x - y - 1 = 0
6x - 1 = y
Substituting we get
4x - 3(6x - 1) = -11
