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3 years ago

A train travels 80 miles per hour. If its speed remains the same, how far will the train have gone in 90 minutes?

1 answer:

3 0

Hello! So, the train travels 80 miles in an hour. 90 minutes is equivalent ot 1 ½ hours. In case you don't know, ½ of 80 is 40. To find the distance gone in 90 minutes, we can just add 80 and 40. 80 + 40 is 120. Another way to solve it is to multiply 80 by 1.5 and you would still get the same answer. There. The train will have gone 120 miles in 90 minutes.

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Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

algol [13]

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

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3 years ago

If g(x) = 3x + 8, find g-1(4)

arsen [322]

Answer:

$\frac{-4}{3}$ =g-1(4)

Step-by-step explanation:

x=3y+8 ---> y= $\frac{x-8}{3}$

y= $\frac{(4)-8}{3}$

$\frac{-4}{3}$

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2 years ago

15) g(n) = 2n + 5 f(n) = -4n-1 Find g(f(n))

Lisa [10]

Answer:

g[f(n)] = -8n+3

Step-by-step explanation:

Given,

g(n) = 2n + 5 , f(n) = -4n-1

Find g(f(n)),

Solutions,

g[f(n)] = g[-4n-1]

= 2(-4n-1) + 5

= -8n–2+5

g[f(n)] = -8n+3

Final Answer = g[f(n)] = -8n+3.

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