The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
First we see the cost of making 200 cookies:
(200) * (1.50) = 300 $
Then, we see the amount of cookies that are not broken:
(200) * (0.30) = 60
200-60 = 140
Arley wants to 50% markup on cost and produces 200 cookies:
(300) * (1.50) = 450 $
Arley can sell the broken cookies for $ 1.40 each:
(1.40) * (60) = $ 84
For each unbroken cookie the price will be then:
(450-84) / (140) = 2.61 $
Answer:
Arley should charge $ 2.61 for each unbroken cookie
Answer:
R = 56.6 ohms
Step-by-step explanation:
Given that,
The voltage of the battery, V = 1.7 volt
We need to find the resistance in the circuit if it uses a current of 0.03 A.
Let the resistance be R. It can be solved using Ohms law as follows :
V = IR
So, the resistance in the circuit is 56.6 ohms.
Those 3 lines are:
y=2x+2
X=4
Y=4
The R satisfies these:
Y<2x+2
X<4
Y<4
