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Shtirlitz [24]
3 years ago
13

Find r if 3(r - 7) = 4(2 - 2r) + 4

Mathematics
2 answers:
Arturiano [62]3 years ago
4 0

Answer:

r=3

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

Distribute

3r -21 = 8 -8r +4

Combine like terms

3r -21 = 12 -8r

Add 8r to each side

3r +8r-21 = 12 -8r+8r

11r -21 = 12

Add 21 to each side

11r -21+21 =12+21

11r = 33

Divide each side by 11

11r/11 = 33/11

r = 3

irina [24]3 years ago
3 0

Answer:

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

3r+(-21)=8+(-8r)+4

-21+8+4=3r+(-8r)

-9=-5r

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Pls help i am on a timer
stich3 [128]

Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

x^2 +  (-1)^2 = 1 + (-1)^2

(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

3 0
3 years ago
I need help with this question I’ll give 15 points
weeeeeb [17]

Answer:

Calculating (5 x 2) violates the order of operations

Step-by-step explanation:

According to the order of operations, multiplies all have equal priority. Therefore, they must be evaluated left to right, not right to left. Evaluating (5 x 2) first is incorrect, and instead (9 x 5) should be calculated first.

3 0
2 years ago
Read 2 more answers
Joey had 26 game cards. His friend Richard gave him some more, and now Joey has 100 cards. How many cards did Richard give to Jo
Roman55 [17]

Given:

Joey had 26 game cards.

His friend Richard gave him some more, and now Joey has 100 cards.

To find:

How many cards did Richard give to Joey?

Solution:

Let x be the number of cards that Richard give to Joey.

Joey had 26 game cards.

Now, the total cards joey has =26+x

Joey has total 100 cards.

26+x=100

x=100-26

x=74

Therefore, Richard gave him 74 cards.

3 0
3 years ago
Plzz help i don't understand that well
postnew [5]

Answer:

No

Step-by-step explanation:

A triangle's lengths HAVE TO add up to 180 degrees.

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CHOOSE TO ANSWER EITHER QUESTION:
Ugo [173]

Answer:

First one: C. Second One:C.

Step-by-step explanation:

Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years?

a) $13,935.76

b) $12,874.57

c) $13,792.99

To solve this this is an exponential function. The price started at $23,000 and depreciates at 12% so the equation is f(x) = (23,0000)(1-0.12)^4. When calculated results with 13792.99328 which is C.

A rare coin is currently worth $450. The value of the coin increases 4% each year. Determine the value of the coin after 7 years.

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To solve this this is also an exponential function. The price started at $450 and  the coin increases 4% each year so the equation is f(x) = (450)(1+0.04)^7. When calculated results with 592.169300656 which is c.

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