Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
Answer:
Because of probability, a green or red bead would be drawn 14/20 times because there are 20 total beads and adding together the numbers for green and red. From this, if you multiply by 3/3 you can see that 42/60 times it will be a green bead. A reasonable prediction for green beads would then be 42 times. Hope it helps :D
I think its A.Hope that helps :)
44)
{(-2,1),(1,3),(3.2),(4,-2)}
45)
f(x)=7x+2
f(-1)=7(-1)+2=-7+2=-5
f(3)=7(3)+2=21+2=23
f(5)=7(5)+2=35+2=37
{5,23,37}
Select the table that represents the following graph
x y
-1 -4
0 -1
1 2
2 5
Given f(x)=10x+4 and g(x)=3x-8
f(x)+f(x)=(10x+4)+(3x-8)=13x-4
13x-4
Question 49
f(x)=x²-3x and g(x)=4x⁵
f(x)*g(x)=(x²-3x)(4x⁵)=4x⁷-12x⁶
4x⁷-12x⁶
Question 50
(0,3)
f(x)=-2x/3 + 2
f⁻¹(x)=-3x/2+3
f⁻¹(0)=3
If the gradient of a hill is 8%...
2/25
2*(100%)/25=8%
Question 53
given two points (x₁,y₁) and (x₂,y₂)
m=slope
m=(y₂-y₁)/(x-x₁)
(2,5) and (1-4)
m=(-4-5) / (1-2)=-9/-1=9
9
Question 54
a decrease of 25 ant per minute
The following belows values...
K=y₁/x₁=-6/2=-3
-3
question 56
84 miles/4 gallons=189 miles/x
x=(189 miles * 4 gallons) / 84 miles=9 gallons
9 gallons
Question 57
4x+3y=1
Question 58
if x=0 ⇒ 4*0+5y=80 ⇒y=80/5=16
16
22, B. (-3;5) and (1;5)
23, B. 12 in³
