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3 years ago

Consider the functions:

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer:

The function f(x) was translated right 3 units and up 2 units.

Step-by-step explanation:

F(x)=(2/3)^x

If we move it right for 3 units, we get

f(x)= (2/3)^(x-3)

If we move up 2 units , we get

g(x)= (2/3)^(x-3) +2

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On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski

____ [38]

10 different groups can ski.

This is a combination of 5 items taken 3 at a time:
$_5C_3=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{120}{12}=10$

3 0

3 years ago

olga nikolaevna [1]

Answer:

Fraction of the original board left = $\frac{2}{15}$

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off $\frac{1}{5}$ of a wooden board.

Length of the board left = l - $(\frac{1}{5})l$

= $(\frac{4}{5})l$ feet

He saws off $\frac{3}{4}th$ of the remaining board,

Board left = $(\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]$

= $\frac{4}{5}l-\frac{3}{5}l$

= $\frac{1}{5}l$ feet

He finally saws off $\frac{1}{3}$ rd of the remaining board.

Board left = $\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l$

= $(\frac{1}{5}-\frac{1}{15})l$

= $\frac{2}{15}l$ feet

Fraction of the original board left = $\frac{\frac{2}{15}l}{l}$

= $\frac{2}{15}$

6 0

3 years ago

What change is taking place on this graph?

IceJOKER [234]

Answer:

its d (an increase in demand)

Step-by-step explanation:

5 0

3 years ago

Original price: $48; Markup: 12.5%

bogdanovich [222]

Answer:

6.86

Step-by-step explanation:

8 0

2 years ago

a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope

inna [77]

8x-2y=24
-8x -8x
-2y=-8x+24
----- ---- ----
-2 -2 -2
y=4x-12

slope: 4
y-intercept: -12

6 0

3 years ago