Answer:
x=5.6
y=-5.6
Step-by-step explanation:
3x - 5y = 14 Equation 1
– 2x + 2y = 0 Equation 2
Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question
Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate
-2(3x - 5y = 14)
-6x+10y=-28 Equation 3
3(– 2x + 2y = 0)
-6x+6y=0 Equation 4
Subtract equation 4 from 3 to eliminate x
-6x+10y=-28
-6x+6y=0
-6x-(-6x)=-6x+6x=0
10y-6y=5y
-28-0=-28
5y=-28
y=-28/5
y=-5.6
Substitute for y in equation 2
– 2x + 2y = 0
– 2x + 2(-5.6) = 0
-2x-11.2=0
-2x=11.2
x=-11.2/2
x=5.6
Hello!
Find the cost of each individual item.
1.28 / 2 = 0.64
Each roll of tape costs $0.64.
0.87 / 3 = 0.29
Each notebook costs $0.29.
Each highlighter costs $1.59.
1.98 / 2 = 0.99
Each pen costs $0.99.
One roll of tape is $0.64, two notepads are $0.58 two highlighters cost $3.18, two pens are 1.98.
Add them up: .
0.64 + 0.58 + 3.18 + 1.98 = 6.38
ANSWER:
You would pay B. $6.38.
Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:
a) -4.
b) P = 25.
c) 2.
d) P = 5.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The demand is given by:
D = 100 - 4P.
Hence the slope is of -4. The demand is equals to zero when:
100 - 4P = 0 -> P = 25.
The supply is given by:
QS = -10 + 2P.
Hence the slope is of 2. The supply is equals to zero when:
-10 + 2P = 0 -> P = 5.
More can be learned about linear function concepts at brainly.com/question/24808124
#SPJ1
Answer:
y = 23x + 182
Step-by-step explanation:
m = 23 (parallel line has same gradient)
y = 23x + c
H(-8,-2)
-2 = 23(-8) + c
c = 182
y = 23x + 182
(Correct me if i am wrong)
Answer:
It abbreviates or shortens the numbers that you are working with making them easier to do calculations with.
Step-by-step explanation:
Example : 10,000 in scientific notation = 1.0x10^4
1,000,000 = 1.0x10^6
