Answer:
1. x = 2.6
2. 7x + 1
Step-by-step explanation:
1.
Given:
4.75x = 12.35
Find x
4.75x = 12.35
Divide both sides by the coefficient of x, that is 4.75
4.75x / 4.75 = 12.35 / 4.75
x = 2.6
Check
4.75x = 12.35
4.75(2.6) = 12.35
12.35 = 12.35
2.
Given:
3x + 2 + 4x - 1
Combine like terms
3x + 4x + 2 - 1
7x + 1
2/3 box per 1/2 minute => 2(2/3) box per 2(1/2) minute
Thus it is 4/3 box per minute
Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
Answer:
A
Step-by-step explanation:
Function 1 has a greater slope and greater y-intercept than function 2 because when u use the formula to write it down and you look at how you connect the two dots used to draw it you will see the answer
Answer:
$14
Step-by-step explanation:
The total amount, C charged by an electrician for h hours of work is ;
C= 7h+125
If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:
From the equation :
C= 7h+125
The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.
For 2 more hours of work :
Additional amount = 7h ; h = 2
7h = 7 * 2 = 14
Hence, Mrs Sanchez pays $14 more.
