7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is:

. With this consideration, we can continue.
(i) Let E the expression that we are analyzing:

Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:

So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:

Multiplying by (2-1) in the both sides:

Repeating the process, we obtain:
Answer:
Eldest: $298500
Middle: $165250
Youngest: $149250
Explanation:
We can show the siblings like this:
e=2y (eldest)
m=16000+y (middle)
To find the value of y, or the youngest sibling, we use an equation.
2y+16000+y+y=613000
Simplify:
4y+16000=613000
Subtract 16000 on both sides:
4y=597000
Divide both sides by 4:
y=149250
The youngest received $149250.
Knowing this, we can plug in the numbers into the original formulas:
e=2(149250)=298500 ...or $298500
m=16000+149250=165250 ...or $165250
y=149250 ...or $149250
Add all those numbers up, and you reach $613000.
Answer:
(W2-1)xW
Step-by-step explanation:
The beginning of the equation represents the length as the question states it is one less than twice the width. Because you need to multiply width and length to get area, you place the length equation and parentheses and multiply the answer to the equation by the width :) Hope this helps!
Answer:
(5, 20)
Step-by-step explanation:
We can find the slope of the line
m = (y2-y1)/(x2-x1)
= (40-0)/(10-0)
= 40/10
=4
Since the line goes through (0,0) the y intercept is 0
y = mx+b
y = 4x
Lets check the points by substituting into the equation
40, 10) 10 = 4*40 10 =160 no
(–5, –10) -10 = 4*-5 10 = -20 no
(5, 20) 20 = 4*5 20 = 20 yes
(–10, –20) -20 = 4*-10 -20 = -40 no