Answer:
The domain is 
Step-by-step explanation:
Given functions 
and 
Subtract these two functions:
Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is
Answer:
y=10
Step-by-step explanation:
8(7-y) =-24
WE APPLY DISTRIBUTIVE PROPERTY:
8*7 -8*y =-24
56 -8y=-24
56+24=8y
80 = 8y
y=80/8
y=10
Answer:
<h3><u>x < 1.975</u></h3>
Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
<em>Add similar elements: -12.4x + 8x = -4.4x</em>
-4.4x > -0.4x - 5.2 - 2.7
<em>Subtract -5.2 - 2.7: -7.9</em>
-4.4x > -0.4x - 7.9
<em>Multiply both sides by 10</em>
-4.4x · 10 > -0.4x - 7.9 · 10
<em>Refine</em>
-44x > -4x - 79
<em>Add 4x to both sides</em>
-44x + 4x > -4x - 79 + 4x
<em>Simplify</em>
-40x > -79
<em>Multiply both sides by -1 (Reverse the inequality)</em>
-40x (-1) > -79 (-1)
<em>Simplify</em>
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
<em>Simplify</em>
x < ⁷⁹⁄₄₀
<em>Turn the fraction into a decimal</em>
<h3><u>x < 1.975</u></h3>
Answer: y= root 2, - root 2
Decimal form y= 1.41421356..., -1.41421356...
Regardless of his sales, Dom earns $285 per week.
He also earns 8% on all his sales, that is, 0.08($4213) = $337.04.
Add these two amounts together to obtain Dom's total income for this week.
Note that this is a linear equation. If E = earnings for the week, then
E = $285 + 0.08($4213). Looks like E=salary + commission.
