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Mandarinka [93]
3 years ago
12

Write 5(1.25)^-x standard form with steps

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

Ste4

×

y

=

4

×

(

1

4

x

−

5

)

4

y

=

(

4

×

1

4

x

)

−

(

4

×

5

)

4

y

=

(

4

×

1

4

x

)

−

20

4

y

=

1

x

−

20

Next step is to move the  

x

term to the left side of the equation by subtracting  

1

x

from each side of the equation:

−

1

x

+

4

y

=

−

1

x

+

1

x

−

20

−

1

x

+

4

y

=

−

0

−

20

−

1

x

+

4

y

=

−

20

Now, to make the coefficient of  

x

positive we need to multiply both sides of the equation by  

−

1

−

1

×

(

−

1

x

+

4

y

)

=

−

1

×

−

20

(

−

1

×

−

1

x

)

+

(

(

−

1

×

4

y

)

=

20

1

x

−

4

y

=

20

or

1

x

−

4

y

=

20p-by-step explanation:

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What is the solution to this equation? 5(x - 6) + 4 = 7x - 4
dimaraw [331]

5(x - 6) + 4 = 7x - 4

5x - 30 + 4 = 7x - 4

5x - 26 = 7x - 4

5x - 26 + 4 = 7x

5x - 22 = 7x

-22 = 7x - 5x

-22 = 2x

-22 / 2 = x

-11 = x

x = -11 is the solution to the given equation

7 0
3 years ago
Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob
Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0
3 years ago
Hi. Could someone please help me help my son with his homework. TIA
Nitella [24]
If the question is how much Cody will jog to save ratio 4miles:3 miles
The ratio is \frac{3}{4}
We can just multiply 1 miles by ratio to see how much Cody will jog, so
1* \frac{3}{4} =\frac{3}{4} miles 
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7 0
3 years ago
I DONT KNOW THESE! HELP!
kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

23. Opposite sides in the parallelogram are congruent, so

2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11

Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

3 0
3 years ago
Median for 35 45 26 32 46 38 39 40 26 72
zhenek [66]

Answer:

38.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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