3 years ago

289 miles on 10 gallons,whats the unit rate

Mathematics

2 answers:

natali 33 [55]3 years ago

8 0

divide 289 miles / 10 gallons

289/10 = 28.9 miles per gallon is the unit rate

Nonamiya [84]3 years ago

6 0

The unit rate is basically the unit over unit (unit per unit). In this case, it is miles per gallons or miles on gallons. So it is 289 miles/10 gallons.

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F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))

KiRa [710]

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Step-by-step explanation:

Given

$f(x) = 5x^2+6\\g(x) = 7x$

$(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917$