3 years ago

Homework 4.1-4.2 worksheet

Mathematics

1 answer:

Tasya [4]3 years ago

8 0

I don’t know what do you mean

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Ron Haslam gets a Social Security benefit of $1,200 per month. His wife receives a benefit equal to 40 percent of Ron's benefit.

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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).

Softa [21]

Answer:

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Step-by-step explanation:

$f(x)=4x+1$

$g\left(x\right)=x^2\:-\:5$

(g/f)(x) = g(x) / f(x)

$=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:$

$=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Therefore,

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

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3 years ago

Estimate [5 7/8 - 2 3/20] + 1 4/7

riadik2000 [5.3K]

change into improper fraction then do the problem then turn back into mixed number

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3 years ago

Please help! Thank youuuu!

ExtremeBDS [4]

F(x) = 3x² + 6x - 1

The graph is a parabola open upward (a= 3>0) with a minimum.

Calculate the vertex:

x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:

y = 3x² + 6x - 1

y = 3(-1)² + 6(-1) -1

y= 3 - 6 -1 and y = - 4,

Ten the vertex (minimum) is at (-1,- 4)

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3 years ago