Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>
∵ g(x) = 
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
Answer:
S = 935 when t ≤ 7
S = (180t - 325) when t > 7
Step-by-step explanation:
John's weekly salary = $375 + commission on number of cars he sell
Commission for the first seven cars sold = $80 per car
Commission above 7 cars = $180 per car
If John sells t cars each week then commission earned by John
= 80×7 + 180(t - 7)
So the salary for week = 375 + commission
S = 375 + 560 + 180(t - 7)
S = 935 + 180(t - 7)
S = 935 when t ≤ 7
(180t - 325) when t > 7
This is the answer right here I got it off of a slope calculator online
<span>$145 saved in her account.
</span><span>$8 an hour at work.
</span><span>at least $320
320 - 145 = 175
175 </span>÷ 8 = 21.875
Louisa needs to work about 22 more hrs to have at least $320!
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