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3 years ago

Let f(x)=x^2+2 and g(x)=1-3x. Find each function value: f(g(-1))

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

g(-1)=4 ,f(g(-1))=18

Step-by-step explanation:

g(-1):

1-3(-1)=4

f(g(-1)):

sub in g(-1) as x

(4)^2+2=18

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Some atomic processes can result in the emission of an electron from the atom. Electrons emitted in this way can have discrete v

KonstantinChe [14]

Answer:

|a| = 0.447

|b| = 0.547

|c| = 0.707

Step-by-step explanation:

From available data

Ψ1 = Ee = 10eV probability = 0.2

Ψ2 = Ee = 16eV, probability = 0.3

Ψ3 = Ee = 34eV, probability = 0.5

The magnitude of a

= a² = 0.2

= a = √0.2

|a| = 0.447

The magnitude of b

b² = 0.3

b = √0.3

|b| = 0.547

The magnitude of c

c² = 0.5

c = √0.5

|c| = 0.707

So in conclusion we have magnitude of a = 0.447

b = 0.547

c = 0.707

4 0

4 years ago

Solve using the quadratic formula.

Ivanshal [37]

the answer is z=0, 1 over 3

7 0

3 years ago

How would I turn 8x- 4y = 16 into y=mx+b form

ivolga24 [154]

Answer: y=2x-4

Step-by-step explanation:

8x-4y=16 subtract 8x from both sides

-4y=-8x+16 now divide -4 by both sides

y=2x-4

4 0

3 years ago

Read 2 more answers

In recent year a letter to Europe from the United States cost $0.94 to mail. A letter mailed within United States cost $0.44. Na

Bogdan [553]

3 letters to US = 3*0.94 = 2.82
2 local letters = 2*0.44 = 0.88
checking: 2.82+0.88 = 3.70

to get rid out of 0.04 cents you have to multiply it by 5. so total number of letters would be 5.

5 0

3 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago