So you subsitute y=2/3x-4 for y in 2x+y=4 so
2x+(2/3x-4)=4
2x+2/3x-4=4
add like terms
2 and 2/3x-4=4
add 4 to both sidees
2 and 2/3x=8
2 and 2/3=6/3+2/3=8/3
8/3x=8
multiply both sides by 3/8 (makes 8/3=24/24=1/1=1)
x=(3*8)/8
simplify
x=3
subtitute x=3 into y=2/3x-4
y=2/3(3)-4
y=(6/3)-4
y=2-4
y=-2
Slope = ∆y/∆x
= (8 -(-5))/(-5-5)
= 13/-10
= -1.3
The slope of the line through the given points is -1.3.
Answer:
110 1/4 lb
Step-by-step explanation:
To answer this, multiply 112 1/2 pounds by 49/50:
225 lb 49 11025 lb
---------- * ----- = -------------- = 110 25/100 lb = 110 1/4 lb
2 50 100
Answer:
1680
Step-by-step explanation:
nPr = n!/(n-r)!
Therefore;
8P4 = 8!/(8-4)!
we get;
= 8!/4!
= (8×7×6×5×4×3×2×1)/(4×3×2×1)
= 40,320/ 24
= 1680
Answer:
Part 1
Given equation:
C(t) = -0.30 (t – 12)² + 40
For t = 0
C(t) = -0.30 (0 - 12)² + 40
C(t) = -0.30 (-12)² + 40
C(t) = -3.2
For t = 12 (noon)
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
For t = 24 (midnight)
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
Part 2
attached below
Part 3
C(t) = –0.30(t – 12)² + 40
F(t)=9/5C(t)+32
Substituting the values:
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
5, 6 and 7, should be simplish
good luck, i hope this helps :)
Step-by-step explanation:
