this can be solve by 3 variable equation
let x be the money of luke
y money of rachel
z money of daniel
first equation
x = y + 21
second equation
x = z + 48
third equation
x + y + z = 168
solving simultaneously
x =79
y = 58
z = 31
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Answer:
y = 1
d = 4
Step-by-step explanation:
8y - 2d = 0 ---------------(I)
5y + 4d = 26 1/4
5y + 4d = 105/4 ------------------(II)
(I)*2 16y - 4d = 0
(II) <u>5y + 4d = 105/4</u> {add (I) &(II)}
21y = 105/4

Substitute y =1 in equation (I)
8*1 - 2d = 0
8 - 2d = 0
-2d = -8
d = -8/-2
d = 4
Answer:
b=4
Step-by-step explanation:
So, we have the function
. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

Now, cross multiply.


Solve for b. Factor using the numbers -4 and -2.

Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
Slope of the line is -3/2
Step-by-step explanation:
- Step 1: Given points are (1, -2) and (3, -5)
- Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)
⇒ m = (-5 - -2)/(3 - 1) = -3/2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.