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3 years ago

Give a possible formula for the given graph. Note that the distance between the graph and the asymptote decreases exponentially.

Mathematics

1 answer:

Margarita [4]3 years ago

3 0

The formula is:
f ( x ) = a ( 1/2 )^x + 16
If it passes through the point: ( 1, 8 )
a ( 1/2 ) ^1 + 16 = 8
1/2 a = - 8
a = - 16
Answer:
f ( x ) = - 16 ( 1/2 )^x + 16

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The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long i

Oksana_A [137]

Answer:

$a = 145\ cm$

Step-by-step explanation:

Given

$a + b + c = 445$

$a = 45 + b$

$b = \frac{1}{2}c$

Required

Determine the length of a

Solve for c in $b = \frac{1}{2}c$

$2 * b = \frac{1}{2}c * 2$

$2b = c$

$c = 2b$

Substitute $c = 2b$ and $a = 45 + b$ in $a + b + c = 445$

$a + b + c = 445$

$45 + b + b + 2b = 445$

$45 + 4b = 445$

Solve for 4b

$4b = 445 - 45$

$4b = 400$

Solve for b

$b = 400/4$

$b = 100$

Recall that: $a = 45 + b$

$a=45+100$

$a = 145\ cm$

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3 years ago

Find the point on the line 5x+7y+1=0 which is closest to the point (−4,3).

Keith_Richards [23]

$5x + 7y + 1 = 0$

4 0

3 years ago

∠A∠A and ∠B∠B are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

iris [78.8K]

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or 5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

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3 years ago

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Solve for z: 4 (z+6) -11 = 25<br> I need to show my work

mafiozo [28]

Answer:

z=3

Step-by-step explanation:

4(z+6)-11=25

add 11 to both sides

4(z+6)-11+11=25+11

simplify

4(z+6)=36

divide each side by 4

(4(z+6))/4=36/4

Simplify

z+6=9

subtract 6 from each side

z+6-6=9-6

simplify

z=3

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3 years ago

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Billy has x marbles. Write an

babymother [125]

Answer:

$Charlie = 5 + x$

$Danny = x - 8$

$Eric = 3x$

Step-by-step explanation:

Given

Billy's Marble = x

Required

Determine a,b and c

a. Charlie's Marble

"5 more" means 5 + or + 5

Since Billy's Marble is represented with x, then Charlie's Marbles will be

$Charlie = 5 + x$

b. Danny's Marbles

Having "8 fewer" means we have to subtract 8 from Billy's marble;

Since Billy's Marble is represented with x, then Danny's Marbles will be

$Danny = x - 8$

c. Eric Marbles

Having "three times as " means we have to multiply Bill's marble by 3;

Since Billy's Marble is represented with x, then Danny's Marbles will be

$Eric = 3 * x$

$Eric = 3x$

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3 years ago