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Radda [10]
3 years ago
15

I want to know what g is

Mathematics
2 answers:
MAVERICK [17]3 years ago
7 0

Answer:

Step-by-step explanation:

2(5-4g) + 3g - 11 = 5(g-3) - 12 - 3g (remove the parantheses)

10 - 8g + 3g - 11 = 5g - 15 - 12 -3g (Calculate and collect like terms)

-1 - 5g = 2g - 27 (move the terms)

-5g -2g = 27 + 1  (collect like terms and calculate)

-7g = -26 (divide both sides)

so G = 26/7

olga_2 [115]3 years ago
4 0

Answer:

G=27/6

Step-by-step explanation:

2(5−4g)+3g−11=5(g−3)−12−3g

(2)(5)+(2)(−4g)+3g+−11=(5)(g)+(5)(−3)+−12+−3g

10+−8g+3g+−11=5g+−15+−12+−3g

(−8g+3g)+(10+−11)=(5g+−3g)+(−15+−12)

−5g+−1=2g+−27

−5g−1=2g−27

Step 2: Subtract 2g from both sides.

−5g−1−2g=2g−27−2g

−7g−1=−27

Step 3: Add 1 to both sides.

−7g−1+1=−27+1

−7g=−26

Step 4: Divide both sides by -7.

-7g/-7=-26/-7

g=26/7

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Answer:

-x^3+5x^2-8x+1, which is choice A

======================================

Work Shown:

f(x) = x^3 - x^2 - 3

f(x) = (x)^3 - (x)^2 - 3

f(2-x) = (2-x)^3 - (2-x)^2 - 3 ................ see note 1 (below)

f(2-x) = (2-x)(2-x)^2 - (2-x)^2 - 3 ........... see note 2

f(2-x) = (2-x)(4-4x+x^2) - (4-4x+x^2) - 3 ..... see note 3

f(2-x) = -x^3+6x^2-12x+8 - (4-4x+x^2) - 3 ..... see note 4

f(2-x) = -x^3+6x^2-12x+8 - 4+4x-x^2 - 3 ....... see note 5

f(2-x) = -x^3+5x^2-8x+1

----------

note1: I replaced every copy of x with 2-x. Be careful to use parenthesis so that you go from x^3 to (2-x)^3, same for the x^2 term as well.

note2: The (2-x)^3 is like y^3 with y = 2-x. We can break up y^3 into y*y^2, so that means (2-x)^3 = (2-x)(2-x)^2

note3: (2-x)^2 expands out into 4-4x+x^2 as shown in figure 1 (attached image below). I used the box method for this and for note 4 as well. Each inner box or cell is the result of multiplying the outside terms. Example: in row1, column1 we have 2 times 2 = 4. You could use the FOIL rule or distribution property, but the box method is ideal so you don't lose track of terms.

note4: (2-x)(4-4x+x^2) turns into -x^3+6x^2-12x+8 when expanding everything out. See figure 2 (attached image below). Same story as note 3, but it's a bit more complicated.

note5: distribute the negative through to ALL the terms inside the parenthesis of (4-4x+x^2) to end up with -4+4x-x^2


4 0
3 years ago
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vova2212 [387]

Answer:

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Step-by-step explanation:

xy - two-digit number

1) x + y = 8

2) Original two-digit number can be written as

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3) If the digits interchanged yx,

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4)  Double the original number is

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5) New number is 10 more than double the original number

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6) Now we have the system of 2 equations:

x + y = 8

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Check:

Original number 26.

New number 62.

Double of the original number = 2*26= 52.

New number is 10 more than double the original number :

62 - 52 = 10 True

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