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3 years ago

Verify if 1/2x-2 and g(x) = 2x + 4 are inverses

1 answer:

5 0

They are inverses if f( (g(x)) = x

f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x

so this proves that g(x) is the inverse of f(x)

the other inverse g((f(x)) should also be = x

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Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

Len [333]

A parabola is a curve where any point is at an equal distance from:

a fixed point (the focus ), and a fixed straight line (the directrix )

The curve is defined by: y2 = 4ax.

3 0

3 years ago

Please answer this question

Gnesinka [82]

Answer:

There are 20 kids total in the class.

Step-by-step explanation:

15/100 × 20 = 3

You can use direct proportion for any percent calculation.

Compare each number with its percent.

3 i s 15 % of what number? Let the number be x

So, 3 represents 15 % and x represents 100 %

x/ 100 = 3/15

Multiply by 100 to isolate x

x = $\frac{3 x 100}{15}$

x = 20

Check: 15/ 100 × 20 = 3

3 0

3 years ago

Helppppp (10 points)

algol13

Answer:

Step-by-step explanation:

1.first solve the hypotenuse of (12 squared+16 squared) = (Hy squared)

2.then find the square root of the Hypotenuse

${h}^{2} + {b}^{2} = {hy}^{2}$

$\sqrt{hy2}$

6 0

3 years ago

PLEASE HELP PLEASE please

Romashka [77]

You should know this if you rated yourself as college level...

4 0

3 years ago

Workers are grouped by their areas of expertise and are placed on at least one team. 20 are on the marketing team, 30 are on the

liubo4ka [24]

Answer: C. 74

Step-by-step explanation:

Let M= Number of workers are in marketing team .

S = Number of workers are in Sales team.

V = Number of workers are in Vision team.

As per given , we have

n(M) = 20 , n(S) = 30 , n(V) = 40

n(M∩S) = 5 , n(V∩S) = 6 , n(M∩V) = 9

n(M∩S∩V) =4

Using formula of sets , we get

n(M∪S∪V) =n(M)+n(S) +n(V) -n(M∩S) - n(V∩S)-n(M∩V) +n(M∩S∩V)

Substitute the corresponding values , we get

n(M∪S∪V) =20+30+40-5-6-9 +4

= 74

∴ The number of workers are in at least one team = 74

Therefore , the total number of workers =74

Hence, the correct option is : C. 74

7 0

4 years ago