9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
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1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
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3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
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5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
Assuming the left is minutes and the right is distance, Mario runs 1 mile in 7 minutes
(a) y=x/7
(b) the rate of change is 7
(c) if he ran for 70 minutes then his distance is 10 miles.
*for (c) just plug in the number given. Replace it with x and divide it by 7.*
I am pretty sure it is 30. Hope it helps!!
Answer Do it
Step-by-step explanation 165 divided by 100 =x times 43
Responder:
120 maneras.
Explicacion paso a paso:
Cinco tipos diferentes de semillas.
El numero de formas de organizar, n, a diferencia de los objetos en una linea es n!
Entonces, para sembrar 5 tipos diferentes de flores, serian 5!
5! = 5 * 4 * 3 * 2 * 1 = 120 vias.
Por lo tanto, hay 120 formas de sembrar las cinco semillas.
Hablo ingles y escribo ingles. Espero que entiendas. Acabo de utilizar el traductor de Google para intentar que la respuesta sea mas clara para ti :).
Por favor, califique con 5 estrellas, gracias, y deme lo mejor (Brainliest). Gracias.
