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2 years ago

The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1

Mathematics

1 answer:

ratelena [41]2 years ago

5 0

Answer:

See Explanation

Step-by-step explanation:

Required

Function(s) with the same slope as function 1

The question is incomplete as function 1 and the three additional functions are not given.

However, I will provide a general explanation.

A slope is represented as:

$y = mx + b$

Where

$m \to$ slope

So, considering the following equations

$y = 2x + 3$

$y = \frac{3x}{2} + 9$

$y = 2x - 5$

$y = -2x + 3$

The following equations have the same slope

$y = 2x + 3$ and $y = 2x - 5$

Because: $y = mx + b$ implies that:

$m = 2$ for $y = 2x + 3$ and $y = 2x - 5$

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Gayle starts to save at age 20 for an extended vacation around the world that she will take on her 45th birthday. She will contr

Katen [24]

For this case we have the following equation:
P (t) = P (1 + r / n) ^ (n * t)
Where,
P: initial investment
r: interest
n: periods
t: time
she will take on her 45th birthday:
for t = 25:
P (25) = 1000 * (1 + 0.0165 / 4) ^ (4 * 25)
P (25) = 1509.31 $
Answer:
The future value of this investment when she takes her trip is:
P (25) = 1509.31 $

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3 years ago

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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:

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

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3 years ago

HELP YOUR GIRL OUT PLEASE!!

Blababa [14]

The value of the collection originally was $1,000,000

What was the original value of the collection?

The original value of the collection is not known, hence, it is represented by X

The increase in value by $50,000 means that the value is X+$50,000

Now, when the error was discovered, it is now worth half of the value previously

The new value is (X+$50,000)*0.5

New value=(X+$50,000)*0.5

The new value at this point is $525,000

$525,000=(X+$50,000)*0.5

$525,000/0.5=X+$50,000

$1,050,000=X+$50,000

X=$1,050,000-$50,000

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1 year ago

Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16

AleksandrR [38]

Answer:

$(f\cdot g)(x)=\dfrac{7x-21}{x+4}$

Step-by-step explanation:

$(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}$

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3 years ago

Renee is playing a game with marbles and a spinner. The spinner has four sections: orange, black, purple, and white. The marbles

cestrela7 [59]

Answer:

i think 3 out of 4 chances

Step-by-step explanation:

because theyre are three colors alike, black, orange and purple.

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3 years ago

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