Step-by-step explanation:
(5y+6)^2=24
i.e, 25y^2+60y+36=24
i.e, 25y^2+60y+12=0
i.e, using rule of quadratic equns
y= {-60±√3600-(4×25×12)}/2×25
i.e,y= (-60±√2400)/50
i.e,y= -1.2 ± 0.4√6
✌️:)
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
Given the polynomial function

If (x-3) is a factor of P(x), then

, for some polynomial Q of 1st degree,
Then according to the factor theorem P(3)=0, because P(3)=(3-3)Q(x)=0*Q(3)=0.
Check

≠0
we see that P(3) is not 0, so (x-3) is not a factor of P(x).
Answer: no
Odpowiedź:
-51
Wyjaśnienie krok po kroku:
Oblicz -12 + 4 * (- 11) - (- 5)
Biorąc pod uwagę wyrażenie
-12 + 4 * (- 11) - (- 5)
Korzystanie z PEDMAS
nawias pierwszy
-12 + 4 * (- 11) +5
Ich mnożenie
-12-44 + 5
Podsumowując
-56 + 5
= -51