A) We can first start with the how: our equation is 2x+y=3. First, subtract 2x from each side. We get y=-2x+3. Our Y variable is isolated.
B) Now we can describe which points our equation goes through. One of them is obvious in our form, and that is (0,3) or our y-intercept. Another 2 would be branching off that line, such as (1,1) or (-1,5)
C) To make our system inconsistent, we can easily make another equation, with same slope, but the y-intercept has to be different. Our equation can be y=-2x+2, y=-2x+4, or even y=-2x+3.00000001.
Hope this helps you.
Answer:
x = £200
(y = £400)
Step-by-step explanation:
Convert interest rates into decimal format:
3% = 3/100 = 0.03
4% = 4/100 = 0.04
From information given, create 2 equations:
0.03x + 0.04y = 22
0.04x + 0.03y = 20
Rearrange equation 1 to make y the subject:
⇒ 0.03x + 0.04y = 22
⇒ 0.04y = 22 - 0.03x
⇒ y = 550 - 0.75x
Substitute y = 550 - 0.75x into equation 2 and solve for x:
⇒ 0.04x + 0.03(550 - 0.75x) = 20
⇒ 0.04x + 16.5 - 0.0225x = 20
⇒ 0.0175x = 3.5
⇒ x = 200
To find y, substitute found value of x into one of the equations and solve for y:
⇒ 0.04(200) + 0.03y = 20
⇒ 8 + 0.03y = 20
⇒ 0.03y = 12
⇒ y = 400
Answer:
Convert 33 Pints to Quarts
pts qts
33.00 16.5
33.01 16.505
33.02 16.51
33.03 16.515
Step-by-step explanation:
i have more if needed just lmk.
Ene score of the first test Is 56. Each test score is 2 points higher than the previous test score. So the score of the second test is 56+ 2 = 58.
The score of the third test is 58+ 2= 60.
And so on.
The scores form an arithmetic sequence 56, 58, 60, ......... with common difference 2.
But the values of the given exponential function \(s(n)=28*2^n\), describe a geometric sequence with common ratio 2.
So the exponential function cannot be used to model this problem.
Answer:
53 cm.
Step-by-step explanation:
Circumference = pi times diameter
We are trying to find diameter so rearrange
Circumference/pi = diameter
166.5/pi = 52.998596
Approximately 53 centimeters of lace
