Answer:
$8
Step-by-step explanation:
Let f = 1 kg of French Roast coffee
Let b = 1 kg of Boxer Blend coffee
Given:
- Joanne buys 1 kg of French Roast and 1 kg of Boxer Blend.
- Joanne spends $14 for her purchase.
⇒ f + b = 14
Given:
- Jacob buys 2 kg of French Roast and 3 kg of Boxer Blend.
- Jacob spends $36 for his purchase.
⇒ 2f + 3b = 36
Rewrite the first equation to make f the subject:
⇒ f + b = 14
⇒ f = 14 - b
Substitute this into the second equation and solve for b:
⇒ 2f + 3b = 36
⇒ 2(14 - b) + 3b = 36
⇒ 28 - 2b + 3b = 36
⇒ 28 + b = 36
⇒ 28 + b - 28 = 36 - 28
⇒ b = 8
Therefore, the <u>price of 1 kg of Boxer Blend coffee is $8</u>
<h3>Answer:</h3>
![\dfrac{42x^2+137x-125}{7x^2+23x-20}](https://tex.z-dn.net/?f=%5Cdfrac%7B42x%5E2%2B137x-125%7D%7B7x%5E2%2B23x-20%7D)
<h3>Explanation:</h3>
You know that the sum of a number and a fraction is ...
... a + b/c = (ac +b)/c
Here, you have ...
... a = 6
... b = -(x+5)
... c = (7x-5)(x+4) = 7x² +23x -20
Then ...
... (ac +b)/c = (6(7x² +23x -20) -(x +5))/(7x² +23x -20)
... = (42x² +138x -120 -x -5)/(7x² +23x -20)
... = (42x² +137x -125)/(7x² +23x -20)
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
Answer:
35
Step-by-step explanation:
i worked it out :)