The price will be the same after 6 months and the total price will be $145.
Answer: they are 3 miles apart
Step-by-step explanation:
A. (2,6)(5,0)
slope = (0 - 6) / (5 - 2) = -6/3 = -2
y = mx + b
slope(m) = -2
(2,6)..x = 2 and y = 6
sub and find b, the y int
6 = -2(2) + b
6 = -4 + b
6 + 4 = b
10 = b
so line A , equation is : y = -2x + 10
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B. (0,2)(6,6)
slope = (6 - 2) / (6 - 0) = 4/6 which reduces to 2/3
y = mx + b
slope(m) = 2/3
(0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 2/3(0) + b
2 = b
LIne B, equation is : y = 2/3x + 2
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so we have :
y = 2/3x + 2
y = -2x + 10
2/3x + 2 = -2x + 10 ..multiply by 3
2x + 6 = -6x + 30
2x + 6x = 30 - 6
8x = 24
x = 24/8
x = 3
y = -2x + 10
y = -2(3) + 10
y = -6 + 10
y = 4
solution is (3,4).....3/4 is the solution to both lines <===
Answer:
Step-by-step explanation:
There is no table but I will do the equations
45000+2000t
let "t" represent the number of years
45000*1.04t
let "t" represent the number of years
Answer:
<u>Option 4: (3,5)</u>
Step-by-step explanation:
(x - 3)(x - 5) < 0
Therefore, the intervals that must be tested are x < 3 , 3<x<5 and x>5
Test of the interval x<3⇒ Let x = 0 ⇒ (-3)(-5) = 15 > 0
Test of the interval 3<x<5 ⇒ Let x = 4 ⇒ (4-3)(4-5) = (1)(-1) = -1 < 0
Test of the interval x>5⇒ Let x = 6 ⇒ (6-3)(6-5) = (3)(1) = 3 > 0
So, the solution set for the quadratic inequality is the interval 3<x<5
Or x ∈ (3,5)
See the attached figure.
The answer is <u>option 4</u>