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Oduvanchick [21]
3 years ago
9

F(x)=x+4and g(x)=x^3,what is (g f)(-3)

Mathematics
2 answers:
Genrish500 [490]3 years ago
8 0
I hope this helps you x= -3 f (-3)= -3+4=1 g (f (-3))=g (1)=? x=1 g (1)=1^3 g (1)=1
wel3 years ago
4 0
If it is g(x) composed of f(x): 1 If it is g(x) times f(x): -27
(g•f)(-3) is multiplication, (gof)(-3) is composition.
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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

\Rightarrow 12h-5k=\pm 14

\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0
2 years ago
Solve for m.<br> 22m^2 + 7m - 2 = 0
pshichka [43]

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero

5 0
3 years ago
What is the scale factor of 8in=200mi?
BigorU [14]
200 / 8  =  25

scale factor is 1:25  or 0.04
8 0
3 years ago
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2,500 subtracted by 372 equals 2148. 2148 dollars is how much savings he has left.
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3 years ago
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Each of the walls in Harvey’s shed are square and have an area of 84 square feet. What is the approximate height, to the nearest
Mariulka [41]

Answer:

B. 9 feet

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side^2 = 84

side = sqrt(84)

side = 9.2 ft

Each side of a wall measures 9.2 ft.

5 0
3 years ago
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