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KIM [24]
4 years ago
10

Solve 240 = 6z + c for 'c'. show steps please

Mathematics
1 answer:
Lunna [17]4 years ago
6 0

There are two ways to find or determine for the value of c. In the first method, we can use addition and subtraction to isolate the variable c from the other variables. In the second method, we can use the transposition of variables to isolate the variable c from the other variables.

So solving for the value of c:

 

<span>Using 1st method: Addition and Subtraction</span>

We are given:

240 = 6 z + c

Simply subtract 6 z on both sides:

240 – 6 z = 6 z + c – 6 z

Cancelling 6 z – 6 z on the right side:

240 – 6 z = c

or

c = 240 – 6 z

 

<span>Using the 2nd method: Transposition</span>

240 = 6 z + c

What we are going to do here is to simply transpose the variable 6 z from the right side to the left side of the equation so that we are left with c alone on the right side. Always remember that when we transpose, the symbol becomes opposite. That is:

240 + (- 6 z) = c

240 – 6 z = c

or

<span>c = 240 – 6 z</span>

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Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

16 + 28 = 44

Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Slope = 4/3, (-2, 11)
Lady_Fox [76]

Answer:

y = \frac{4}{3} x + \frac{41}{3}

Step-by-step explanation:

the equation of a line in slope- intercept form is

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here m = \frac{4}{3}, hence

y = \frac{4}{3} x + c ← is the partial equation

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21-25 is -4. Is this helpful?
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