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3 years ago

50 POINTS!!!!!!

Mathematics

1 answer:

LiRa [457]3 years ago

6 0

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

Transformation:

If f(x) is a function then

f(x)+k is a vertical shift k units upwards.

f(x)-k is vertical shift k units downwards.

f(x-h) is horizontal shift h units rightwards.

f(x+h) is horizontal shift h units leftwards.

So,

The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

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Use substitution to solve the system of equations :

mote1985 [20]

Answer:

x=1

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Step-by-step explanation:

4x+y=0 -> y= -4x

2(-4x)+x=-7

-8x+ x=-7

-7x=-7

x=-7/-7=1

y=-4 . 1 = -4

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aleksklad [387]

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3 years ago

-3x + 3y = 4 -x+ y = 3

Natalka [10]

Answer:

No solution

Step-by-step explanation:

-3x + 3y = 4

-x + y = 3

Solve the equation for x:

Move the variable to the right side and change its sign

-x + y = 3

-x = 3 - y

Change the signs on both sides of the equation

-x = 3 - y

x = -3 + y

Substitute the given value of x into the equation -3x + 3y = 4

-3x + 3y = 4

x = -3 + y

-3(-3+y)+3y=4

Solve the equation for y

-3(-3+y)+3y=4

y = 0

There is no solution for y.

And since there's no solution for y, the system has no solution.

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3 years ago

The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t

Zanzabum

Answer: [H+] = 10^-7.2

Step-by-step explanation:

Given that the PH of the solution = 7.2

Using the formula pH = –log[H+]. To get the H+ concentration from the pH, raise both sides by the base of 10. Then we have

10^ -pH = H+. with pH of 7.2,

Thus the answer to this problem is

[H+] = 10^-7.2

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