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Masja [62]
3 years ago
6

if y=12x+7 were changed to y=12x+2, how would the graph of the new function compare with its original

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 7 ← is in this form

with m = 12 and c = 7

y = 12x + 2 ← is also in this form

with m = 12 and c = 2

Since the slopes are equal the lines are parallel

c = 7 → c = 2 is a vertical translation of 5 units down

In comparison the line y = 12x + 2 is parallel to y = 12x + 7

and translated < 0, - 5 >

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Math help please (80 points)
Inga [223]

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8  (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3


2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

5 0
3 years ago
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Multiply the following polynomials
Sophie [7]

Answer  (2x + 7) • (x2 - 2)

Step-by-step explanation:

please give me brainlest!!

Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  x2-2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Final result :

 (2x + 7) • (x2 - 2)

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3 years ago
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IgorLugansk [536]

What is the question?

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3 years ago
David has 6 blue shirts and 4 red shirts. Write the ratio of David's red shirts to
klasskru [66]

Answer:

4/10= 2/5

Step-by-step explanation:

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3 years ago
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Simplify the complex expression (3+2i) + (-4+6i)
Pani-rosa [81]
(3 + 2i) + (-4 + 6i)

Get rid of the parenthesis.

3 + 2i - 4 + 6i

Note how we got rid of the (+) sign in +(-4). We do this because a negative times a positive is always going to be a negative.

Combine like terms.

(2i + 6i) + (3 - 4)

Simplify.

8i - 1

~Hope I helped!~
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