Answer:
The cost of 1kg jam is $7 and the cost of 1kg butter is $4
Step-by-step explanation:
Let jam = x
butter = y
3x + 2y = 29 -----(1)
6x + 3y = 54 -----(2)
(1)×2 ->
6x + 4y = 58 -----(3)
(3)-(2) ->
y = 4
suby=4into(2)
6x + 3(4) = 54
6x = 42
x = 7
(Correct me if i am wrong)
Answer:
s = 21.16
Step-by-step explanation:
0.5s +1= 7+ 4.58
Combine like terms
0.5s +1=11.58
Subtract 1 from each side
0.5s +1-1= 11.58-1
.5s = 10.58
Multiply by 2
.5s *2 = 10.58*2
s = 21.16
Answer:
Step By Step Explanation:
Simplify 
Rewrite Equation
Simplify
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
