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2 years ago

Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)

Mathematics

1 answer:

NeX [460]2 years ago

8 0

9514 1404 393

Answer:

w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

-5 +0.6w = w(2.5 -0.3w)

0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients

(3w -25)(w +2) = 0 . . . . . . . factor

We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

3w -25 = 0 ⇒ w = 25/3 = 8 1/3

w +2 = 0 ⇒ w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

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Rule for raising a power to a new power

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3 years ago

Solve for m<c. (Enter your answer as a whole mumber)

kupik [55]

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3 years ago

Consider a triangle ABC like the one below. Suppose that a = 31, b = 23, and c = 20. (The figure is not drawn to scale.) Solve t

krok68 [10]

The solution to the triangle is A = 92.0, B = 47.9 and C = 40.1

<h3>How to solve the triangle?</h3>

The figure is not given;

However, the question can still be solved without it

The given parameters are:

a = 31, b = 23, and c = 20

Calculate angle A using the following law of cosine

a² = b² + c² - 2bc * cos(A)

So, we have:

31² = 23² + 20² - 2 * 23 * 20 * cos(A)

Evaluate

961 = 929 - 920 * cos(A)

Subtract 929 from both sides

32 =- 920 * cos(A)

Divide both sides by -920

cos(A) = -0.0348

Take the arc cos of both sides

A = 92.0

Calculate angle B using the following law of sine

a/sin(A) = b/sin(B)

So, we have:

31/sin(92) = 23/sin(B)

This gives

31.0189 = 23/sin(B)

Rewrite as:

sin(B) =23/31.0189

Evaluate

sin(B) =0.7415

Take arc sin of both sides

B = 47.9

Calculate angle C using:

C = 180 - 92.0 - 47.9

Evaluate

C = 40.1

Hence, the solution to the triangle is A = 92.0, B = 47.9 and C = 40.1

Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)​

Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)