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.
G(x) = 6x + 2....the slope here is 6. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, we flip the original slope and change the sign. So our perpendicular line will have a slope of -1/6. (see how I flipped 6 (or 6/1) and made it 1/6, then I changed the sign and made it -1/6)
y = mx + b
slope(m) = -1/6
(42,0)....x = 42 and y = 0
now we sub and find b, the y int
0 = -1/6(42) + b
0 = -7 + b
7 = b
so ur perpendicular equation is : y = -1/6x + 7....or f(x) = -1/6x + 7
8x^4 + 2x^2 - 45 = (2x^2 + 5)(4x^2 - 9) = (2x^2 + 5)(2x + 3)(2x - 3)
(a) 2x^2 + 3....no
(b) 2x^2 + 5...yes
(c) 2x - 3....yes
(d) 4x^2 - 9)...no...not when it is fully factored
Answer:
17
Step-by-step explanation:
9 years ago, she was 8 years old. So, you'd take her age then + number of years passed. So, 8+9=17.
