Answer:
Apprentice = $800
Journeyman = $1600
carpenter = $4000
Step-by-step explanation:
Let the apprentice earns X dollars.
Then ,
Journeyman will make 200% of apprentice's earning which is 2X.
Also,
Carpenter makes 250% of the earning that journeyman makes.
Which is 2.5(2X) = 5X
Their total earning should come to $6400.
Thus,
X + 2X + 5X = 6400
8X = 6400.
X = $800
So,
Earning of apprentice = X = $800
Earning of Journeyman = 2X = $1600
Earning of carpenter = 5X = $4000
R= 8
C= 2,5•r+15
C= 2,5•8+15
C= 20+15
C= 35
Nina's total cost will be 35 $, £, € (i don't know which of them)
Answer:
Thus the length = 230 and width = 90.
Step-by-step explanation:
Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less than 3 times the width.
She has 320 feet of fencing.
Let the length of the rectangular fence be x and the width of the fence be y.
Then the relation between them is
x = 3y - 40
Also x + y = 320
Solving these equations,
320 - y = 3y - 40
4y = 360
y = 90
x = 230
Thus the length = 230 and width = 90.
Answer:
See below.
Step-by-step explanation:
Here's an example to illustrate the method:
f(x) = 3x^2 - 6x + 10
First divide the first 2 terms by the coefficient of x^2 , which is 3:
= 3(x^2 - 2x) + 10
Now divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form
(x - b/2)^2 - b/2)^2 (where b = 2) , which will be equal to x^2 - 2x in a different form.
= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x + 1^2 and we have to make it equal to x^2 - 2x)
= 3 [(x - 1)^2 -1 ] + 10
= 3(x - 1)^2 - 3 + 10
= <u>3(x - 1)^2 + 7 </u><------- Vertex form.
In general form the vertex form of:
ax^2 + bx + c = a [(x - b/2a)^2 - (b/2a)^2] + c .
This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.
