5 (4x2) + 6 - (2x2) - 1
5 + 6 = 11, 4 x 2 = 8
2 x 2 = 4, 11 + 6 = 17
17 - 1 = 16
We can form two ratios to help us solve this:
(2x+6):10 = (x+6):8
(2x+6) (x+6)
--------- = --------
10 8
Cross multiply:
8(2x+6) = 10(x+6)
Foil:
16x + 48 = 10x + 60
Move like variables to the same side:
16x - 10x = 60 - 48
6x = 12
x = 2
Line AE = 2x+6
Plug 2 for x into the equation: 2(2) + 6 = 10
Hope this helps, and May the Force Be With You!
-Jabba
Answer:
y = 5x - 6
Step-by-step explanation:
Answer:
m = rate of change of the functions.
1) m = 1/2
2) m = -1
3) m = -2
4) m = 1
5) m = 2
Step-by-step explanation:
Hi there!
For the points (a, f(a)) and (b, f(b)), the rate of change between them, m, is calculated as follows:
m = f(b) - f(a) / (b - a)
Then:
1) f(x) = 1/2 x - 3
f(0) = 1/2 · 0 -3 = -3
f(6) = 1/2 · 6 - 3 = 0
m = f(6) - f(0) /( 6 - 0)
m = 0 - (-3) / 6 = 1/2
2) f(x) = -x
f(-4) = -(-4) = 4
f(2) = -2
m = f(2) - f(-4) /(2 - (-4)
m = -2 - 4 / 2 + 4
m = -6/6
m = -1
3) f(x) = x²
f(-2) = (-2)² = 4
f(0) = 0² = 0
m = f(0) - f(-2) / 0 - (-2)
m = 0 - 4/ 2 = -2
4) f(x) = x³
f(-1) = (-1)³ = -1
f(1) = 1³ = 1
m = f(1) - f(-1) / 1 - (-1)
m = 1 - (-1)/ 2
m = 2/2 = 1
5) f(x) = 2x
f(0) = 2 · 0 = 0
f(4) = 2 · 4 = 8
m = f(4) - f(0) / (4 - 0)
m = 8 - 0 / 4
m = 2
Answer:
fourth option
Step-by-step explanation:
let t be tennis balls and g be golf balls, then
5t + 3g = 70 → (1)
2t + 5g = 85 → (2)
Multiplying (1) by 5 and (2) by - 3 will eliminate g
25t + 15g = 350 → (3)
- 6t - 15g = - 255 → (4)
Add (3) and (4) term by term to eliminate g
19t = 95 ( divide both sides by 19 )
t = 5
Substitute t = 5 into either of the 2 equations and solve for g
Substituting into (1)
5(5) + 3g = 70
25 + 3g = 70 ( subtract 25 from both sides )
3g = 45 ( divide both sides by 3 )
g = 15
Thus
$5 for tennis balls and $15 for golf balls
