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2 years ago

If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).

Mathematics

2 answers:

siniylev [52]2 years ago

7 0

Answer:

$(f+g)(x)=4x+1$

Step-by-step explanation:

We are given the two functions:

$f(x)=x-4\text{ and } g(x)=3x+5$

And we want to find:

$(f+g)(x)$

This is equivalent to:

$=f(x)+g(x)$

By substitution:

$=(x-4)+(3x+5)$

Rearranging yields:

$=(x+3x)+(-4+5)$

Combine like terms:

$=4x+1$

Hence:

$(f+g)(x)=4x+1$

kvv77 [185]2 years ago

3 0

Answer:

please refer to the above attachment

$\boxed{(4x + 1) \: is \: the \: right \: answer.}$

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3 years ago

On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthd

Alexandra [31]

Answer:

$A\simeq3250.83$

Step-by-step explanation:

The amount formula in compound interest is:

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8 0

2 years ago

PLEASE HELP

Sholpan [36]

1) We have that the equation is $x^2=20y$ , hence y=x^2/20. The standard equation of such an equation is y= $\frac{1}{4p} x^2$ . Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is $x=3y^2 \\ \frac{1}{4p} =3$ . Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y= $y=\frac{1}{4p} x^2= \frac{1}{36 } x^2$ .
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5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the form $x= \frac{1}{4p} y^2$ . Substituting p=7, we get $x= \frac{1}{28} y^2$ .
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