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zmey [24]
3 years ago
7

2x-1-(-x+3) = 6-2x SHOW STEPS....DUE TODAY

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

x=2

Step-by-step explanation:

Simplify both sides of the equation.

2x−1−(−x + 3)=6−2x

(Distribute the Negative Sign)

2x−1 + −1(−x + 3)=6−2x

2x + −1 + −1(−x) + (−1)(3)=6−2x

2x + −1 + x + −3=6−2x

2x + −1 + x + −3=6 + −2x

(Combine Like Terms)

(2x + x) + (−1 + −3)=−2x+6

3x + −4=−2x + 6

3x−4=−2x + 6

Add 2x to both sides.

3x−4 + 2x=−2x + 6 + 2x

5x−4=6

Add 4 to both sides.

5x−4 + 4=6 + 4

5x=10

Divide both sides by 5.

5x/5=10/5

x=2

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lara [203]

The linear equation represents y = mx + b describes several real world situations such as

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<u>Step-by-step explanation</u>:

Linear equations  y = mx + b.  

m is your rate of change.

b is your constant. This is the initial value of y. The value of y when x is 0.

Finally, y is the thing that depends on x.

Oh right, examples:  

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total cost = 25(cartridges I buy) + 100 or y = 25x + 100

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5 0
3 years ago
Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
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Ludmilka [50]
And the endpoints lie on each other.
5 0
3 years ago
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What is a divisor in math
Fittoniya [83]
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8 0
3 years ago
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y ,
Deffense [45]

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

8 0
3 years ago
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